Details

Time bar (total: 8.1s)

analyze4.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample3.9s (47.7%)

Results
2.6s4087×body1024valid
580.0ms2060×body512valid
393.0ms1649×body256valid
303.0ms460×body2048valid
0.0ms1×body256invalid

preprocess225.0ms (2.8%)

Algorithm
2×egg-herbie
Rules
1088×fma-neg_binary64
890×fma-def_binary64
719×distribute-rgt-in_binary64
491×distribute-lft-in_binary64
331×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11810
22810
34110
47110
510310
615910
729210
860410
9103710
10144410
11200210
12274010
13383510
14467010
15476810
16480010
17480010
18639310
19674810
20682610
21683410
22684210
23684210
24704210
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify227.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1088×fma-neg_binary64
890×fma-def_binary64
719×distribute-rgt-in_binary64
491×distribute-lft-in_binary64
331×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0712
11810
22810
34110
47110
510310
615910
729210
860410
9103710
10144410
11200210
12274010
13383510
14467010
15476810
16480010
17480010
18639310
19674810
20682610
21683410
22684210
23684210
24704210
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

eval1.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶58.7b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓5.9b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
1.0ms
eps
@inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
1.0ms
eps
@-inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms
eps
@inf
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0ms
eps
@0
(/.f64 (-.f64 1 eps) (+.f64 1 eps))

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
884×pow1_binary64
826×log1p-expm1-u_binary64
826×expm1-log1p-u_binary64
825×add-log-exp_binary64
810×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0722
115320
2215620
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (+.f64 (neg.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 eps) (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 eps)) (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 (neg.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps))) (/.f64 (cbrt.f64 (-.f64 1 eps)) (sqrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 eps) (+.f64 (neg.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))))

simplify48.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
613×fma-def_binary64
502×times-frac_binary64
462×fma-neg_binary64
449×associate-/l/_binary64
410×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057309
1164307
2410307
31133301
43353297
Stop Event
1×node limit
Counts
88 → 92
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2) (*.f64 -2/5 (pow.f64 eps 5)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (/.f64 -2 eps) (+.f64 (log.f64 -1) (/.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 -2/5 (pow.f64 eps 5)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 -2/5 (pow.f64 eps 5))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (/.f64 -2 eps) (+.f64 (log.f64 -1) (/.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 -2/5 (pow.f64 eps 5)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 -2/5 (pow.f64 eps 5))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps 2) 1))
(fma.f64 eps (fma.f64 eps 2 -2) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (+.f64 (fma.f64 2 (*.f64 eps eps) 1) (*.f64 -2 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1)))
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (*.f64 eps 2) 1)))
(fma.f64 (*.f64 eps eps) (fma.f64 -2 eps 2) (fma.f64 -2 eps 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 eps)))
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3)))
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) -2) -1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 eps)))
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3)))
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) -2) -1))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms
eps
@inf
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
0.0ms
eps
@-inf
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

rewrite43.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
519×pow1_binary64
484×add-log-exp_binary64
484×expm1-log1p-u_binary64
482×log1p-expm1-u_binary64
475×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11308
218658
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))))

simplify78.0ms (1%)

Algorithm
1×egg-herbie
Rules
699×fma-def_binary64
530×associate-/l*_binary64
426×distribute-neg-frac_binary64
399×fma-neg_binary64
319×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044180
1122177
2298174
3807174
42170174
55425174
67993174
Stop Event
1×node limit
Counts
47 → 57
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(*.f64 -1 (log.f64 -1))
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps)))
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2 eps)))
(fma.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2) (*.f64 -2/5 (pow.f64 eps 5)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (-.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3)))) (/.f64 2/5 (pow.f64 eps 5)))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps)))
(-.f64 (neg.f64 (log.f64 -1)) (/.f64 2 eps))
(fma.f64 -1 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (/.f64 -2 eps) (log.f64 -1))
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
(+.f64 (+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5)))
(+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (-.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 2/5 (pow.f64 eps 5))))

eval40.0ms (0.5%)

Compiler

Compiled 1882 to 1147 computations (39.1% saved)

prune26.0ms (0.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1436149
Fresh000
Picked011
Done011
Total1438151
Error
0b
Counts
151 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶58.7b
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
✓0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶60.6b
(log.f64 1)
▶0.3b
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
▶0.2b
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
✓58.7b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶0.7b
(*.f64 -2 eps)
58.7b
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
Compiler

Compiled 128 to 100 computations (21.9% saved)

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))
✓0.1b
(*.f64 -2/5 (pow.f64 eps 5))
✓0.1b
(*.f64 -2/3 (pow.f64 eps 3))
Compiler

Compiled 52 to 41 computations (21.2% saved)

series5.0ms (0.1%)

Counts
3 → 3
Calls

9 calls:

TimeVariablePointExpression
1.0ms
eps
@-inf
(*.f64 -2/3 (pow.f64 eps 3))
1.0ms
eps
@0
(*.f64 -2/3 (pow.f64 eps 3))
1.0ms
eps
@0
(*.f64 -2/5 (pow.f64 eps 5))
1.0ms
eps
@inf
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))
1.0ms
eps
@inf
(*.f64 -2/3 (pow.f64 eps 3))

rewrite74.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
476×log-prod_binary64
363×exp-prod_binary64
316×prod-exp_binary64
299×fma-def_binary64
284×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
124728
2287328
Stop Event
1×node limit
Counts
3 → 119
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/5 (pow.f64 eps 5))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 9) -8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 eps) (log1p.f64 -5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 eps) (log1p.f64 -5/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 eps) (log1p.f64 -5/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 eps) (log1p.f64 -5/3)))) (sqrt.f64 (fma.f64 3 (log.f64 eps) (log1p.f64 -5/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 eps) (log1p.f64 -5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log1p.f64 -5/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log1p.f64 -5/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log1p.f64 -5/3)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2/5 (pow.f64 eps 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 10) 4/25) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 15) -8/125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)))) (sqrt.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 10) 4/25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 15) -8/125))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/5 (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 15) -8/125)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 eps 10) 4/25) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))) (/.f64 (*.f64 (pow.f64 eps 6) 4/9) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) (pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 2) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 eps 9) -8/27 (*.f64 (pow.f64 eps 15) -8/125)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.f64 (pow.f64 eps 6) 4/9)) (/.f64 1 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))) (fma.f64 (pow.f64 eps 9) -8/27 (*.f64 (pow.f64 eps 15) -8/125))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))) (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.f64 (pow.f64 eps 6) 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 eps 9) -8/27 (*.f64 (pow.f64 eps 15) -8/125)) (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 eps 9) -8/27 (*.f64 (pow.f64 eps 15) -8/125)) (fma.f64 (pow.f64 eps 6) 4/9 (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.f64 (pow.f64 eps 6) 4/9)) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 eps 9) -8/27 (*.f64 (pow.f64 eps 15) -8/125))) (neg.f64 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.f64 (pow.f64 eps 6) 4/9))) (neg.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (pow.f64 eps 10) 4/25)) (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))) (fma.f64 (pow.f64 eps 9) -8/27 (*.f64 (pow.f64 eps 15) -8/125))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))) (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.f64 (pow.f64 eps 6) 4/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))) (sqrt.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)) (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5)))) (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)) (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5)))) (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 (*.f64 eps eps) -2/3) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1 (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 5) -2/5 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (*.f64 eps -2/3) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps 10)) (*.f64 (pow.f64 (cbrt.f64 eps) 5) -2/5) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 -2/3)) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (*.f64 eps (cbrt.f64 -2/3)) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5))) (cbrt.f64 (*.f64 (pow.f64 eps 10) 4/25)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 10) 4/25)) (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5))) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2)) (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3/2) (*.f64 (pow.f64 eps 3/2) -2/3) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 5/2) (*.f64 (pow.f64 eps 5/2) -2/5) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 eps) (*.f64 eps eps) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (*.f64 eps eps)) eps (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (pow.f64 eps 3/2)) (pow.f64 eps 3/2) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/5 (cbrt.f64 (pow.f64 eps 10))) (pow.f64 (cbrt.f64 eps) 5) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/5 (pow.f64 eps 5/2)) (pow.f64 eps 5/2) (*.f64 -2/3 (pow.f64 eps 3)))))))

simplify139.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1204×sqr-pow_binary64
708×cube-prod_binary64
678×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
12421
25021
39821
421321
564321
693221
7156821
8167621
9183821
10205121
11238121
12283721
13343621
14419021
15512221
16563021
17612021
18651621
19683821
20699821
Stop Event
1×node limit
Counts
122 → 121
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/5 (pow.f64 eps 5))
(*.f64 -2/5 (pow.f64 eps 5))
Outputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/5 (pow.f64 eps 5))
(*.f64 -2/5 (pow.f64 eps 5))

localize2.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
✓0.4b
(*.f64 eps -2/3)
Compiler

Compiled 21 to 14 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@-inf
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
1.0ms
eps
@inf
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
1.0ms
eps
@0
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
1.0ms
eps
@0
(*.f64 eps -2/3)
0.0ms
eps
@-inf
(*.f64 eps -2/3)

rewrite52.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
641×pow1_binary64
596×add-log-exp_binary64
596×log1p-expm1-u_binary64
596×expm1-log1p-u_binary64
585×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114215
2159415
Stop Event
1×node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 eps -2/3)
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps -2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps -2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps -2/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 eps (*.f64 eps -2/3))) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 eps (*.f64 eps -2/3) -2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))))))))

simplify203.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
469×fabs-mul_binary64
443×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010165
123165
241165
382165
4150165
5374165
61237165
71944165
82031165
92164165
102322165
112562165
122884165
133305165
143807165
154409165
165129165
175448165
185730165
195952165
206132165
216214165
227154165
Stop Event
1×node limit
Counts
48 → 30
Calls
Call 1
Inputs
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
Outputs
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2/3 eps)
(*.f64 -2 eps)
(*.f64 eps -2)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))

localize30.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
✓0.0b
(/.f64 1 (+.f64 1 eps))
✓5.9b
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
Compiler

Compiled 33 to 25 computations (24.2% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(/.f64 1 (+.f64 1 eps))
1.0ms
eps
@0
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
1.0ms
eps
@-inf
(/.f64 1 (+.f64 1 eps))
1.0ms
eps
@0
(/.f64 1 (+.f64 1 eps))
1.0ms
eps
@-inf
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))

rewrite98.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
906×pow1_binary64
844×log1p-expm1-u_binary64
844×expm1-log1p-u_binary64
843×add-log-exp_binary64
828×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0829
117227
2230827
Stop Event
1×node limit
Counts
3 → 87
Calls
Call 1
Inputs
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
(/.f64 1 (+.f64 1 eps))
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 eps)) 3) (pow.f64 (log1p.f64 (neg.f64 eps)) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)))) (-.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 eps))) (cbrt.f64 (pow.f64 (+.f64 1 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 eps) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 eps) -1/2) (pow.f64 (+.f64 1 eps) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 eps)) -1) (pow.f64 (sqrt.f64 (+.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 eps) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 eps)) (*.f64 (neg.f64 eps) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 eps)) (*.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 eps) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps 3)) (*.f64 (+.f64 1 eps) (+.f64 1 (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 eps eps)) (pow.f64 (+.f64 1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 -1 (neg.f64 eps)) (+.f64 1 (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 -1 (neg.f64 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) 1) (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) 1) (pow.f64 (+.f64 1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) -1) (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) -1) (*.f64 (+.f64 1 eps) (+.f64 -1 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) 1) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 1 eps))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 eps) -1) (+.f64 -1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 eps)) 3) (pow.f64 (-.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (/.f64 1 (+.f64 1 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))))

simplify70.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
842×fma-def_binary64
720×times-frac_binary64
399×sub-neg_binary64
258×distribute-neg-frac_binary64
247×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
072487
1210474
2551474
31583468
45039465
Stop Event
1×node limit
Counts
123 → 128
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 1 (*.f64 -1 eps))
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps)))
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (*.f64 -1 eps) (*.f64 -1 (pow.f64 eps 3)))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (-.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 -2 eps)))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (-.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 -2 eps)))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))))
1
(+.f64 1 (*.f64 -1 eps))
(+.f64 1 (neg.f64 eps))
(-.f64 1 eps)
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps)))
(+.f64 (+.f64 1 (neg.f64 eps)) (*.f64 eps eps))
(fma.f64 eps eps (-.f64 1 eps))
(-.f64 (fma.f64 eps eps 1) eps)
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (*.f64 -1 eps) (*.f64 -1 (pow.f64 eps 3)))))
(+.f64 (*.f64 eps eps) (+.f64 1 (*.f64 -1 (+.f64 eps (pow.f64 eps 3)))))
(fma.f64 eps eps (-.f64 (-.f64 1 eps) (pow.f64 eps 3)))
(-.f64 (-.f64 (fma.f64 eps eps 1) eps) (pow.f64 eps 3))
(*.f64 (-.f64 1 eps) (fma.f64 eps eps 1))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (/.f64 (/.f64 -1 eps) eps))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (*.f64 eps eps)))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 -1 (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 (/.f64 -1 eps) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (pow.f64 eps 4))) (-.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 eps)))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (+.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 -1 (pow.f64 eps 4)))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (/.f64 (/.f64 -1 eps) eps))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (*.f64 eps eps)))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 -1 (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 (/.f64 -1 eps) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (pow.f64 eps 4))) (-.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 eps)))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (+.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 -1 (pow.f64 eps 4)))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps 2) 1))
(fma.f64 eps (fma.f64 eps 2 -2) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1)))
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (*.f64 eps 2) 1)))
(fma.f64 eps (fma.f64 eps 2 -2) (fma.f64 -2 (pow.f64 eps 3) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 eps)))
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 (/.f64 -2 eps) eps)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(-.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 -1 (/.f64 2 eps))) (/.f64 2 (*.f64 eps eps)))
(+.f64 (/.f64 2 eps) (+.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) -1) (/.f64 -2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (pow.f64 eps 3)) (/.f64 (/.f64 -2 eps) eps))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 eps)))
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 (/.f64 -2 eps) eps)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(-.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 -1 (/.f64 2 eps))) (/.f64 2 (*.f64 eps eps)))
(+.f64 (/.f64 2 eps) (+.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) -1) (/.f64 -2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (pow.f64 eps 3)) (/.f64 (/.f64 -2 eps) eps))))

eval152.0ms (1.9%)

Compiler

Compiled 4467 to 3395 computations (24% saved)

prune41.0ms (0.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New2763279
Fresh101
Picked011
Done156
Total2789287
Error
0b
Counts
287 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.2b
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
▶0.3b
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
✓58.7b
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
✓0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶58.8b
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)))
✓0.7b
(*.f64 -2 eps)
✓58.7b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
✓60.6b
(log.f64 1)
▶58.7b
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
Compiler

Compiled 92 to 71 computations (22.8% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 1 (*.f64 eps eps)))
✓0.0b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
✓0.0b
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))
✓5.9b
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)))
Compiler

Compiled 63 to 39 computations (38.1% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)))
1.0ms
eps
@inf
(/.f64 1 (-.f64 1 (*.f64 eps eps)))
1.0ms
eps
@inf
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)))
0.0ms
eps
@-inf
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)))
0.0ms
eps
@0
(/.f64 1 (-.f64 1 (*.f64 eps eps)))

rewrite108.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
522×log-prod_binary64
373×pow-prod-down_binary64
342×prod-diff_binary64
270×pow2_binary64
266×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01063
121939
2297337
Stop Event
1×node limit
Counts
4 → 261
Calls
Call 1
Inputs
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(/.f64 1 (-.f64 1 (*.f64 eps eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (*.f64 eps (neg.f64 eps)))) (*.f64 2 (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (log.f64 (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (neg.f64 (log1p.f64 eps))) (log.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (neg.f64 (log1p.f64 eps)))) (log.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 (*.f64 eps (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log1p.f64 (*.f64 eps (neg.f64 eps)))) (log.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -1/2) (pow.f64 (-.f64 1 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -2))) (log.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (pow.f64 (-.f64 1 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (log1p.f64 eps)) 1) (*.f64 (log1p.f64 (neg.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (-.f64 1 eps) (cbrt.f64 (exp.f64 (*.f64 2 (neg.f64 (log1p.f64 eps))))))) (*.f64 1/3 (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (-.f64 1 eps) (sqrt.f64 (/.f64 1 (+.f64 1 eps))))) (*.f64 1/2 (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2))) (log.f64 (cbrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (sqrt.f64 (-.f64 1 eps)))) (log.f64 (sqrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (*.f64 eps (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 eps))) (log.f64 (*.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (-.f64 1 eps))) (log.f64 (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (-.f64 1 eps) (-.f64 1 (pow.f64 eps 3)))) (log.f64 (*.f64 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(-.f64 1 (*.f64 eps eps))) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 eps eps)))) (neg.f64 (/.f64 eps (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 eps eps))) -2) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (*.f64 (neg.f64 eps) (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 eps eps))) -2) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 eps eps))) -2) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (neg.f64 (/.f64 eps (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 6))) (+.f64 1 (fma.f64 eps eps (pow.f64 eps 4))) (*.f64 (neg.f64 eps) (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 6))) (+.f64 1 (fma.f64 eps eps (pow.f64 eps 4))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 6))) (+.f64 1 (fma.f64 eps eps (pow.f64 eps 4))) (neg.f64 (/.f64 eps (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 4))) (fma.f64 eps eps 1) (*.f64 (neg.f64 eps) (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 4))) (fma.f64 eps eps 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 4))) (fma.f64 eps eps 1) (neg.f64 (/.f64 eps (-.f64 1 (*.f64 eps eps)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -1/2) (pow.f64 (-.f64 1 (*.f64 eps eps)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 eps eps))) -2) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 6))) (+.f64 1 (fma.f64 eps eps (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 4))) (fma.f64 eps eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 eps eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 eps eps))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 eps eps))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 1 (*.f64 eps eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 eps (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 eps (neg.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))))

simplify76.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
607×sub-neg_binary64
431×associate-*l*_binary64
386×distribute-neg-frac_binary64
367×associate-*r*_binary64
343×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093703
1264672
2724672
32169672
46422672
Stop Event
1×node limit
Counts
309 → 316
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
1
(+.f64 1 (*.f64 -1 eps))
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps)))
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (*.f64 -1 eps) (*.f64 -1 (pow.f64 eps 3)))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
1
(+.f64 (pow.f64 eps 2) 1)
(+.f64 (pow.f64 eps 2) (+.f64 1 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (pow.f64 eps 4) (pow.f64 eps 6))))
(/.f64 -1 (pow.f64 eps 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (/.f64 1 (pow.f64 eps 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (pow.f64 eps 8)) (/.f64 1 (pow.f64 eps 2))))))
(/.f64 -1 (pow.f64 eps 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (/.f64 1 (pow.f64 eps 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (pow.f64 eps 8)) (/.f64 1 (pow.f64 eps 2))))))
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2 eps)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (-.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (-.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (-.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (-.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps 2) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (+.f64 (fma.f64 2 (*.f64 eps eps) 1) (*.f64 -2 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1)))
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 2 (*.f64 eps eps) 1)))
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (*.f64 eps 2) 1)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 eps)))
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(-.f64 (/.f64 2 eps) (-.f64 (+.f64 1 (/.f64 2 (*.f64 eps eps))) (/.f64 2 (pow.f64 eps 3))))
(-.f64 (/.f64 2 eps) (+.f64 1 (-.f64 (/.f64 2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 eps)))
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(-.f64 (/.f64 2 eps) (-.f64 (+.f64 1 (/.f64 2 (*.f64 eps eps))) (/.f64 2 (pow.f64 eps 3))))
(-.f64 (/.f64 2 eps) (+.f64 1 (-.f64 (/.f64 2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3)))))
1
(+.f64 1 (*.f64 -1 eps))
(+.f64 1 (neg.f64 eps))
(-.f64 1 eps)
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps)))
(+.f64 (*.f64 eps eps) (+.f64 1 (neg.f64 eps)))
(-.f64 (fma.f64 eps eps 1) eps)
(fma.f64 eps eps (-.f64 1 eps))
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (*.f64 -1 eps) (*.f64 -1 (pow.f64 eps 3)))))
(+.f64 (+.f64 1 (*.f64 eps eps)) (*.f64 -1 (+.f64 eps (pow.f64 eps 3))))
(fma.f64 eps eps (-.f64 (-.f64 1 eps) (pow.f64 eps 3)))
(-.f64 (-.f64 (fma.f64 eps eps 1) eps) (pow.f64 eps 3))
(-.f64 (fma.f64 eps eps (-.f64 1 eps)) (pow.f64 eps 3))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (/.f64 (/.f64 -1 eps) eps))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps))))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps))))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (/.f64 (/.f64 -1 eps) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4)))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 -1 (pow.f64 eps 4)))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (/.f64 (/.f64 -1 eps) eps))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps))))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps))))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (/.f64 (/.f64 -1 eps) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4)))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 -1 (pow.f64 eps 4)))))
1
(+.f64 (pow.f64 eps 2) 1)
(+.f64 1 (*.f64 eps eps))
(fma.f64 eps eps 1)
(+.f64 (pow.f64 eps 2) (+.f64 1 (pow.f64 eps 4)))
(+.f64 (+.f64 1 (*.f64 eps eps)) (pow.f64 eps 4))
(+.f64 (pow.f64 eps 4) (fma.f64 eps eps 1))
(+.f64 1 (fma.f64 eps eps (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (pow.f64 eps 4) (pow.f64 eps 6))))
(+.f64 (+.f64 1 (*.f64 eps eps)) (+.f64 (pow.f64 eps 4) (pow.f64 eps 6)))
(+.f64 (fma.f64 eps eps 1) (+.f64 (pow.f64 eps 4) (pow.f64 eps 6)))
(+.f64 (pow.f64 eps 4) (+.f64 (fma.f64 eps eps 1) (pow.f64 eps 6)))
(/.f64 -1 (pow.f64 eps 2))
(/.f64 -1 (*.f64 eps eps))
(/.f64 (/.f64 -1 eps) eps)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4))))
(+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4)))
(+.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 -1 (pow.f64 eps 4)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (/.f64 1 (pow.f64 eps 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 6)))))
(-.f64 (/.f64 -1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 6))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4))) (/.f64 -1 (pow.f64 eps 6)))
(+.f64 (+.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 -1 (pow.f64 eps 4))) (/.f64 -1 (pow.f64 eps 6)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (pow.f64 eps 8)) (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 8))))))
(-.f64 (/.f64 -1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 8)))))
(-.f64 (+.f64 (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4))) (/.f64 -1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 8)))
(+.f64 (+.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 -1 (pow.f64 eps 4))) (+.f64 (/.f64 -1 (pow.f64 eps 6)) (/.f64 -1 (pow.f64 eps 8))))
(/.f64 -1 (pow.f64 eps 2))
(/.f64 -1 (*.f64 eps eps))
(/.f64 (/.f64 -1 eps) eps)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4))))
(+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4)))
(+.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 -1 (pow.f64 eps 4)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (/.f64 1 (pow.f64 eps 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 6)))))
(-.f64 (/.f64 -1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 6))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4))) (/.f64 -1 (pow.f64 eps 6)))
(+.f64 (+.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 -1 (pow.f64 eps 4))) (/.f64 -1 (pow.f64 eps 6)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (pow.f64 eps 8)) (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 8))))))
(-.f64 (/.f64 -1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 8)))))
(-.f64 (+.f64 (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4))) (/.f64 -1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 8)))
(+.f64 (+.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 -1 (pow.f64 eps 4))) (+.f64 (/.f64 -1 (pow.f64 eps 6)) (/.f64 -1 (pow.f64 eps 8))))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 eps (+.f64 1 eps))
0.0b
(/.f64 1 (+.f64 1 eps))
✓0.0b
(-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))
✓5.9b
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
0.0ms
eps
@inf
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
0.0ms
eps
@-inf
(/.f64 eps (+.f64 1 eps))
0.0ms
eps
@-inf
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
0.0ms
eps
@inf
(/.f64 eps (+.f64 1 eps))

rewrite111.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
449×log-prod_binary64
385×fma-def_binary64
338×exp-prod_binary64
312×pow-prod-down_binary64
240×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0829
118428
2285227
Stop Event
1×node limit
Counts
3 → 336
Calls
Call 1
Inputs
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))
(/.f64 eps (+.f64 1 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps)))) (*.f64 -2 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -3) (pow.f64 (/.f64 eps (+.f64 1 eps)) 3))) (log.f64 (/.f64 1 (+.f64 (/.f64 eps (+.f64 1 eps)) (pow.f64 (+.f64 1 eps) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 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(-.f64 eps (*.f64 eps (+.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 (/.f64 eps (+.f64 1 eps)) (pow.f64 (+.f64 1 eps) -2)) (-.f64 (pow.f64 (+.f64 1 eps) -3) (pow.f64 (/.f64 eps (+.f64 1 eps)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps)))) (*.f64 2 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -3) (pow.f64 (/.f64 eps (+.f64 1 eps)) 3))) (log.f64 (+.f64 (/.f64 eps (+.f64 1 eps)) (pow.f64 (+.f64 1 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) 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eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 eps) -1/2) (/.f64 eps (sqrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (+.f64 1 eps))) (sqrt.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 eps) (/.f64 1 (fma.f64 -1 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (/.f64 eps (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 1 eps))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change 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pow.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 eps))) (cbrt.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 1 eps) -1/2) (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 1 eps) -3) (pow.f64 eps 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 eps) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (fma.f64 -1 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (/.f64 eps (+.f64 1 eps)) 2)) (exp.f64 (/.f64 eps (pow.f64 (+.f64 1 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 eps (pow.f64 (+.f64 1 eps) 2))) (exp.f64 (pow.f64 (/.f64 eps (+.f64 1 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 eps) (log1p.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 eps) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 eps) (log1p.f64 eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 eps) (log.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (/.f64 eps (+.f64 1 eps)) 2) (/.f64 eps (pow.f64 (+.f64 1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 eps (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (/.f64 eps (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (/.f64 eps (pow.f64 (+.f64 1 eps) 2)) (/.f64 eps (pow.f64 (+.f64 1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)) (pow.f64 (/.f64 eps (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 5) (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (/.f64 eps (pow.f64 (+.f64 1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (/.f64 eps (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (sqrt.f64 (/.f64 eps (+.f64 1 eps)))) (sqrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (/.f64 eps (+.f64 1 eps)) 2))))))

simplify74.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
639×times-frac_binary64
406×sub-neg_binary64
296×fma-def_binary64
295×fma-neg_binary64
273×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
072452
1210445
2543441
31607440
44782437
Stop Event
1×node limit
Counts
372 → 377
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
eps
(+.f64 eps (*.f64 -1 (pow.f64 eps 2)))
(+.f64 eps (+.f64 (*.f64 -1 (pow.f64 eps 2)) (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1 (pow.f64 eps 4)) (pow.f64 eps 3))))
1
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
1
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2 eps)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5))) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3)))) (/.f64 -2/5 (pow.f64 eps 5)))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5))) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3)))) (/.f64 -2/5 (pow.f64 eps 5)))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps 2) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (+.f64 (fma.f64 2 (*.f64 eps eps) 1) (*.f64 -2 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1)))
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (*.f64 eps 2) 1)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (+.f64 -1 (/.f64 2 eps)) (/.f64 -2 (*.f64 eps eps)))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))
(+.f64 -1 (*.f64 (/.f64 1 eps) (+.f64 2 (/.f64 -2 eps))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (/.f64 2 eps) (+.f64 -1 (+.f64 (/.f64 2 (pow.f64 eps 3)) (/.f64 -2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (+.f64 -1 (+.f64 (/.f64 2 (pow.f64 eps 3)) (/.f64 (/.f64 -2 eps) eps))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (+.f64 -1 (/.f64 2 eps)) (/.f64 -2 (*.f64 eps eps)))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))
(+.f64 -1 (*.f64 (/.f64 1 eps) (+.f64 2 (/.f64 -2 eps))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (/.f64 2 eps) (+.f64 -1 (+.f64 (/.f64 2 (pow.f64 eps 3)) (/.f64 -2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (+.f64 -1 (+.f64 (/.f64 2 (pow.f64 eps 3)) (/.f64 (/.f64 -2 eps) eps))))
eps
(+.f64 eps (*.f64 -1 (pow.f64 eps 2)))
(+.f64 eps (neg.f64 (*.f64 eps eps)))
(-.f64 eps (*.f64 eps eps))
(fma.f64 eps (neg.f64 eps) eps)
(+.f64 eps (+.f64 (*.f64 -1 (pow.f64 eps 2)) (pow.f64 eps 3)))
(+.f64 eps (fma.f64 -1 (*.f64 eps eps) (pow.f64 eps 3)))
(+.f64 eps (*.f64 (*.f64 eps eps) (+.f64 eps -1)))
(fma.f64 (*.f64 eps eps) (+.f64 eps -1) eps)
(+.f64 eps (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1 (pow.f64 eps 4)) (pow.f64 eps 3))))
(+.f64 eps (fma.f64 -1 (*.f64 eps eps) (fma.f64 -1 (pow.f64 eps 4) (pow.f64 eps 3))))
(+.f64 (-.f64 eps (*.f64 eps eps)) (-.f64 (pow.f64 eps 3) (pow.f64 eps 4)))
(+.f64 eps (-.f64 (pow.f64 eps 3) (fma.f64 eps eps (pow.f64 eps 4))))
(*.f64 (+.f64 1 (*.f64 eps eps)) (fma.f64 eps (neg.f64 eps) eps))
(*.f64 (-.f64 1 eps) (+.f64 eps (pow.f64 eps 3)))
1
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 -1 eps)))
(+.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 eps eps))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 -1 eps) (/.f64 -1 (pow.f64 eps 3)))))
(+.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 1 (+.f64 (/.f64 -1 eps) (/.f64 -1 (pow.f64 eps 3)))))
1
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 -1 eps)))
(+.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 eps eps))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 -1 eps) (/.f64 -1 (pow.f64 eps 3)))))
(+.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 1 (+.f64 (/.f64 -1 eps) (/.f64 -1 (pow.f64 eps 3)))))

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 eps (*.f64 eps -2/3)) eps)
✓0.1b
(*.f64 eps (*.f64 eps -2/3))
0.4b
(*.f64 eps -2/3)
Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 eps (*.f64 eps -2/3))
1.0ms
eps
@inf
(*.f64 eps (*.f64 eps -2/3))
0.0ms
eps
@-inf
(*.f64 eps (*.f64 eps -2/3))
0.0ms
eps
@0
(*.f64 (*.f64 eps (*.f64 eps -2/3)) eps)
0.0ms
eps
@inf
(*.f64 (*.f64 eps (*.f64 eps -2/3)) eps)

rewrite78.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
548×pow1_binary64
527×add-sqr-sqrt_binary64
506×add-log-exp_binary64
506×log1p-expm1-u_binary64
506×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
112214
2140214
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps -2/3))
(*.f64 (*.f64 eps (*.f64 eps -2/3)) eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 eps -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 eps -2/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps -2/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (*.f64 eps -2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps -2/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 eps -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps -2/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 eps 3) -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 3) -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 eps 3) -2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 3) -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 eps 3) -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 eps 3) -2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 eps 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 3) -2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 eps 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 3) -2/3)))))))

simplify170.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1208×sqr-pow_binary64
564×cube-prod_binary64
537×fabs-mul_binary64
536×unswap-sqr_binary64
502×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09168
123168
248168
3105168
4296168
51235168
62405168
72571168
82821168
93108168
103487168
113993168
124591168
135301168
145768168
156093168
166367168
176537168
186631168
197308168
Stop Event
1×node limit
Counts
46 → 25
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
Outputs
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))

eval296.0ms (3.6%)

Compiler

Compiled 14387 to 9683 computations (32.7% saved)

prune102.0ms (1.3%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New7633766
Fresh000
Picked011
Done088
Total76312775
Error
0b
Counts
775 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.2b
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
✓0.3b
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
✓58.7b
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
✓0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓58.8b
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)))
✓0.7b
(*.f64 -2 eps)
▶0.3b
(+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps))
✓58.7b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
✓60.6b
(log.f64 1)
✓58.7b
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
▶58.7b
(log.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))))
▶58.7b
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
Compiler

Compiled 139 to 106 computations (23.7% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 eps) eps)
✓0.0b
(/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps)))
✓0.0b
(*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))
✓5.6b
(log.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))))
Compiler

Compiled 68 to 46 computations (32.4% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(log.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))))
1.0ms
eps
@inf
(log.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))))
1.0ms
eps
@-inf
(log.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))))
0.0ms
eps
@-inf
(/.f64 (+.f64 1 eps) eps)
0.0ms
eps
@-inf
(*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))

rewrite108.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
609×log-prod_binary64
471×fma-def_binary64
322×fma-neg_binary64
287×log-div_binary64
283×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0978
121069
2349569
Stop Event
1×node limit
Counts
4 → 301
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))))
(*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))
(/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps)))
(/.f64 (+.f64 1 eps) eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (/.f64 (-.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log.f64 eps))) eps) (pow.f64 (+.f64 1 eps) 2)) eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 (/.f64 (-.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log.f64 eps))) eps) (pow.f64 (+.f64 1 eps) 2)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log.f64 eps))) eps)) (-.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log.f64 eps))) eps))) (log.f64 (*.f64 (sqrt.f64 (-.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log.f64 eps))) eps)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 eps) 2)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (neg.f64 (-.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log.f64 eps))) eps))) (log.f64 (/.f64 1 (/.f64 (neg.f64 (pow.f64 (+.f64 1 eps) 2)) eps))))))) 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#<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) eps) 2)) (/.f64 (+.f64 1 eps) (sqrt.f64 eps))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) eps)) (/.f64 (+.f64 1 eps) (sqrt.f64 eps))) (neg.f64 (*.f64 (/.f64 (+.f64 1 eps) (pow.f64 (+.f64 1 eps) 2)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) eps)) (/.f64 (+.f64 1 eps) (sqrt.f64 eps))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) eps)) (/.f64 (+.f64 1 eps) (sqrt.f64 eps))) (neg.f64 (*.f64 (/.f64 (+.f64 1 eps) (pow.f64 (+.f64 1 eps) 2)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (+.f64 1 eps) eps) (pow.f64 (+.f64 1 eps) 2)) eps (neg.f64 (*.f64 (/.f64 (+.f64 1 eps) (pow.f64 (+.f64 1 eps) 2)) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 eps) eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 eps) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 eps) eps)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 eps) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 eps) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 eps) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 eps) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) eps)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) eps) 2)) (cbrt.f64 (/.f64 (+.f64 1 eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (*.f64 (cbrt.f64 (+.f64 1 eps)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) eps)) (sqrt.f64 (/.f64 (+.f64 1 eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 eps)) (*.f64 (sqrt.f64 (+.f64 1 eps)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 eps -1) (/.f64 1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 eps) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 eps)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) 1) (/.f64 (sqrt.f64 (+.f64 1 eps)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (+.f64 1 eps) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (+.f64 1 eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (+.f64 1 eps)) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (+.f64 1 eps) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (+.f64 1 eps)) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 eps) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 eps (+.f64 1 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 eps) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 eps) (log.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 eps) (log.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 eps) eps)))))))

simplify57.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
614×fma-def_binary64
502×times-frac_binary64
462×fma-neg_binary64
450×associate-/l/_binary64
403×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
061459
1173457
2425457
31148451
43371447
Stop Event
1×node limit
Counts
349 → 339
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) 2)
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
eps
(+.f64 2 eps)
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
eps
(+.f64 2 eps)
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
1
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
1
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2) (*.f64 -2/5 (pow.f64 eps 5)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (/.f64 -2 eps) (+.f64 (log.f64 -1) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) (/.f64 2/5 (pow.f64 eps 5)))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5))) (/.f64 -2/3 (pow.f64 eps 3))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (/.f64 -2 eps) (+.f64 (log.f64 -1) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) (/.f64 2/5 (pow.f64 eps 5)))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5))) (/.f64 -2/3 (pow.f64 eps 3))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) 2)
(+.f64 2 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
(+.f64 (/.f64 1 eps) (+.f64 eps 2))
(+.f64 eps (+.f64 2 (/.f64 1 eps)))
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
(+.f64 (/.f64 1 eps) (+.f64 eps 2))
(+.f64 eps (+.f64 2 (/.f64 1 eps)))
eps
(+.f64 2 eps)
(+.f64 eps 2)
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
(+.f64 (/.f64 1 eps) (+.f64 eps 2))
(+.f64 eps (+.f64 2 (/.f64 1 eps)))
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
(+.f64 (/.f64 1 eps) (+.f64 eps 2))
(+.f64 eps (+.f64 2 (/.f64 1 eps)))
eps
(+.f64 2 eps)
(+.f64 eps 2)
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
(+.f64 (/.f64 1 eps) (+.f64 eps 2))
(+.f64 eps (+.f64 2 (/.f64 1 eps)))
(+.f64 (/.f64 1 eps) (+.f64 2 eps))
(+.f64 (/.f64 1 eps) (+.f64 eps 2))
(+.f64 eps (+.f64 2 (/.f64 1 eps)))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps 2) 1))
(fma.f64 eps (fma.f64 eps 2 -2) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (+.f64 (fma.f64 2 (*.f64 eps eps) 1) (*.f64 -2 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1)))
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (*.f64 eps 2) 1)))
(fma.f64 (*.f64 eps eps) (fma.f64 -2 eps 2) (fma.f64 -2 eps 1))
(fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (fma.f64 eps 2 -2) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))
(+.f64 -1 (-.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3)))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (pow.f64 eps 3)) (/.f64 -2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) -2) -1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))
(+.f64 -1 (-.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3)))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (pow.f64 eps 3)) (/.f64 -2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) -2) -1))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
1
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
1
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 eps) (-.f64 1 eps))
✓5.9b
(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
Compiler

Compiled 33 to 24 computations (27.3% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
0.0ms
eps
@inf
(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
0.0ms
eps
@inf
(/.f64 (+.f64 1 eps) (-.f64 1 eps))
0.0ms
eps
@0
(/.f64 (+.f64 1 eps) (-.f64 1 eps))
0.0ms
eps
@-inf
(/.f64 (+.f64 1 eps) (-.f64 1 eps))

rewrite56.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
843×pow1_binary64
786×log1p-expm1-u_binary64
786×expm1-log1p-u_binary64
785×add-log-exp_binary64
771×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0722
115120
2207920
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
(/.f64 (+.f64 1 eps) (-.f64 1 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (neg.f64 eps) -1)) (log.f64 (neg.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 (neg.f64 eps)) 3)) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)))) (+.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 2) (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (*.f64 (cbrt.f64 (+.f64 1 eps)) (/.f64 1 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 eps)) (*.f64 (sqrt.f64 (+.f64 1 eps)) (/.f64 1 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 eps) -1) (/.f64 1 (neg.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 eps)) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 eps)) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) 1) (/.f64 (sqrt.f64 (+.f64 1 eps)) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (+.f64 1 eps)) (cbrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 eps))) (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (sqrt.f64 (-.f64 1 eps))) (/.f64 (cbrt.f64 (+.f64 1 eps)) (sqrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 eps) (neg.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 (-.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))))

simplify48.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
972×fma-neg_binary64
723×fma-def_binary64
634×times-frac_binary64
588×cancel-sign-sub-inv_binary64
505×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053319
1159307
2443305
31276300
43726296
Stop Event
1×node limit
Counts
86 → 90
Calls
Call 1
Inputs
(*.f64 2 eps)
(+.f64 (*.f64 2 eps) (*.f64 2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 2/7 (pow.f64 eps 7)) (+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 2 eps) 1)
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
Outputs
(*.f64 2 eps)
(+.f64 (*.f64 2 eps) (*.f64 2/3 (pow.f64 eps 3)))
(fma.f64 2 eps (*.f64 2/3 (pow.f64 eps 3)))
(fma.f64 2/3 (pow.f64 eps 3) (*.f64 2 eps))
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))
(fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))))
(fma.f64 2 eps (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))))
(fma.f64 eps (fma.f64 eps (*.f64 eps 2/3) 2) (*.f64 2/5 (pow.f64 eps 5)))
(+.f64 (*.f64 2/7 (pow.f64 eps 7)) (+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))))
(fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))
(fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2 eps (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))
(fma.f64 2 eps (fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))
(fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (fma.f64 2/7 (pow.f64 eps 7) (*.f64 2/3 (pow.f64 eps 3)))))
(fma.f64 eps (fma.f64 eps (*.f64 eps 2/3) 2) (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/7 (pow.f64 eps 7))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 2 eps)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 eps)) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 2 eps)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 eps)) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
1
(+.f64 (*.f64 2 eps) 1)
(fma.f64 2 eps 1)
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 2 (*.f64 (+.f64 eps 1) eps) 1)
(fma.f64 2 (fma.f64 eps eps eps) 1)
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)))
(fma.f64 2 eps (fma.f64 2 (pow.f64 eps 3) (fma.f64 2 (*.f64 eps eps) 1)))
(fma.f64 2 eps (fma.f64 2 (+.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1))
(fma.f64 2 (+.f64 eps (*.f64 eps (fma.f64 eps eps eps))) 1)
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.f64 1 (/.f64 2 eps)))
(+.f64 -1 (/.f64 -2 eps))
(-.f64 -1 (/.f64 2 eps))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (-.f64 (/.f64 -2 eps) (/.f64 (/.f64 2 eps) eps)))
(+.f64 (/.f64 -2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
(neg.f64 (+.f64 (+.f64 1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))) (/.f64 -2 (pow.f64 eps 3)))
(+.f64 (+.f64 -1 (/.f64 -2 eps)) (+.f64 (/.f64 (/.f64 -2 eps) eps) (/.f64 -2 (pow.f64 eps 3))))
(+.f64 (/.f64 -2 eps) (+.f64 -1 (+.f64 (/.f64 -2 (pow.f64 eps 3)) (/.f64 -2 (*.f64 eps eps)))))
(+.f64 (/.f64 -2 eps) (fma.f64 (/.f64 (/.f64 1 eps) eps) (-.f64 -2 (/.f64 2 eps)) -1))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.f64 1 (/.f64 2 eps)))
(+.f64 -1 (/.f64 -2 eps))
(-.f64 -1 (/.f64 2 eps))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (-.f64 (/.f64 -2 eps) (/.f64 (/.f64 2 eps) eps)))
(+.f64 (/.f64 -2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
(neg.f64 (+.f64 (+.f64 1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))) (/.f64 -2 (pow.f64 eps 3)))
(+.f64 (+.f64 -1 (/.f64 -2 eps)) (+.f64 (/.f64 (/.f64 -2 eps) eps) (/.f64 -2 (pow.f64 eps 3))))
(+.f64 (/.f64 -2 eps) (+.f64 -1 (+.f64 (/.f64 -2 (pow.f64 eps 3)) (/.f64 -2 (*.f64 eps eps)))))
(+.f64 (/.f64 -2 eps) (fma.f64 (/.f64 (/.f64 1 eps) eps) (-.f64 -2 (/.f64 2 eps)) -1))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps)
0.1b
(*.f64 eps (*.f64 eps -2/3))
0.4b
(*.f64 eps -2/3)
✓1.9b
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1)
Compiler

Compiled 58 to 42 computations (27.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1)
0.0ms
eps
@0
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1)
0.0ms
eps
@-inf
(*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps)
0.0ms
eps
@-inf
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1)
0.0ms
eps
@inf
(*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps)

rewrite58.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
942×pow1_binary64
881×add-log-exp_binary64
881×log1p-expm1-u_binary64
881×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
119717
2269717
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1)
(*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 eps (*.f64 eps -2/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (*.f64 eps eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 eps (*.f64 eps -2/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 eps (*.f64 eps -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 eps (*.f64 eps -2/3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2/3 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 eps -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps -2/3) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) 4/9)) (*.f64 (cbrt.f64 (*.f64 eps -2/3)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) (pow.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) 2) (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps -2/3)) (*.f64 (sqrt.f64 (*.f64 eps -2/3)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 -2/3)) (*.f64 eps (sqrt.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -2/3))) 1) (-.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -2/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (cbrt.f64 (*.f64 (*.f64 eps eps) 4/9))) (cbrt.f64 (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 (*.f64 eps -2/3))) (sqrt.f64 (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps -2/3) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps -2/3) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (-.f64 1 (*.f64 (fma.f64 eps (*.f64 eps -2/3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1) (-.f64 (fma.f64 eps (*.f64 eps -2/3) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) (fma.f64 eps (*.f64 eps -2/3) -1)) (fma.f64 eps (*.f64 eps -2/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) (fma.f64 eps (*.f64 eps -2/3) -1))) (-.f64 1 (fma.f64 eps (*.f64 eps -2/3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 eps (*.f64 eps -2/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 eps -2/3) 1)) 2) (cbrt.f64 (fma.f64 eps (*.f64 eps -2/3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -2/3))) (hypot.f64 1 (*.f64 eps (sqrt.f64 -2/3))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 eps (*.f64 eps -2/3) 1) eps) (*.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) 1)) (*.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1) eps) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1) eps) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1)) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 eps (sqrt.f64 -2/3)) (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 -2/3 (*.f64 eps eps))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (*.f64 eps eps) 3) -8/27)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -8/27) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps)))))))))

simplify165.0ms (2%)

Algorithm
1×egg-herbie
Rules
1208×sqr-pow_binary64
564×cube-prod_binary64
537×fabs-mul_binary64
536×unswap-sqr_binary64
502×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09168
123168
248168
3105168
4296168
51235168
62405168
72571168
82821168
93108168
103487168
113993168
124591168
135301168
145768168
156093168
166367168
176537168
186631168
197308168
Stop Event
1×node limit
Counts
96 → 74
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
Outputs
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (*.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))

eval233.0ms (2.9%)

Compiler

Compiled 13024 to 8198 computations (37.1% saved)

prune71.0ms (0.9%)

Pruning

13 alts after pruning (1 fresh and 12 done)

PrunedKeptTotal
New5661567
Fresh000
Picked011
Done01111
Total56613579
Error
0b
Counts
579 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.2b
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
✓0.3b
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
✓58.7b
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
✓0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓58.8b
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)))
✓0.7b
(*.f64 -2 eps)
✓58.7b
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
0.3b
(+.f64 (+.f64 eps (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) eps)) (*.f64 -2 eps))
✓0.3b
(+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps))
✓58.7b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
✓60.6b
(log.f64 1)
✓58.7b
(log.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))))
✓58.7b
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
Compiler

Compiled 154 to 116 computations (24.7% saved)

regimes23.0ms (0.3%)

Counts
15 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))))
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)))
(+.f64 (+.f64 eps (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) eps)) (*.f64 -2 eps))
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
(*.f64 -2 eps)
(log.f64 1)
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Calls

5 calls:

7.0ms
eps
4.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
3.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
3.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
3.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Results
ErrorSegmentsBranch
0.0b1eps
0.0b1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0b1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0b1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0b1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 198 to 145 computations (26.8% saved)

regimes24.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 (+.f64 1 eps) eps))))
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)))
(+.f64 (+.f64 eps (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) eps)) (*.f64 -2 eps))
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
(*.f64 -2 eps)
(log.f64 1)
Outputs
(+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps))
Calls

5 calls:

7.0ms
eps
5.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
3.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
3.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
3.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Results
ErrorSegmentsBranch
0.3b1eps
0.3b1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.3b1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.3b1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.3b1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 177 to 129 computations (27.1% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
(*.f64 -2 eps)
(log.f64 1)
Outputs
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
Calls

1 calls:

3.0ms
eps
Results
ErrorSegmentsBranch
0.3b1eps
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Accuracy

Total -59.9b remaining (-8930.7%)

Threshold costs -59.9b (-8930.7%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 -2 eps)
(log.f64 1)
Outputs
(*.f64 -2 eps)
Calls

1 calls:

3.0ms
eps
Results
ErrorSegmentsBranch
0.7b1eps
Compiler

Compiled 8 to 6 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
7×*-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02053
13653
24253
34553
44653
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
(*.f64 -2 eps)
(log.f64 1)
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps))
(+.f64 (*.f64 eps (+.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) -1)) (*.f64 eps -2))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
(+.f64 (*.f64 eps -2) (*.f64 eps (*.f64 eps (*.f64 eps -2/3))))
(*.f64 -2 eps)
(*.f64 eps -2)
(log.f64 1)
0
Compiler

Compiled 41 to 30 computations (26.8% saved)

soundness502.0ms (6.2%)

Algorithm
1×egg-herbie
Rules
1088×fma-neg_binary64
890×fma-def_binary64
719×distribute-rgt-in_binary64
491×distribute-lft-in_binary64
331×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0712
11810
22810
34110
47110
510310
615910
729210
860410
9103710
10144410
11200210
12274010
13383510
14467010
15476810
16480010
17480010
18639310
19674810
20682610
21683410
22684210
23684210
24704210
Stop Event
1×node limit
Compiler

Compiled 43 to 33 computations (23.3% saved)

end37.0ms (0.5%)

Compiler

Compiled 37 to 26 computations (29.7% saved)

Profiling

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