Details

Time bar (total: 9.2s)

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)

sample5.5s (59.5%)

Results
3.3s4133×body1024valid
1.2s2147×body512valid
696.0ms376×body2048valid
205.0ms1600×body256valid
0.0ms2×body256invalid

preprocess235.0ms (2.6%)

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)

simplify226.0ms (2.5%)

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)

prune3.0ms (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))
▶57.9b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓6.1b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

series7.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
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)))
1.0ms
eps
@inf
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
1.0ms
eps
@0
(/.f64 (-.f64 1 eps) (+.f64 1 eps))

rewrite113.0ms (1.2%)

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 log1p.f64 (expm1.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 +.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 log1p.f64 (expm1.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)))))))

simplify61.0ms (0.7%)

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))

localize14.0ms (0.2%)

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)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms
eps
@inf
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms
eps
@-inf
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

rewrite61.0ms (0.7%)

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 log1p.f64 (expm1.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 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)))))))

simplify77.0ms (0.8%)

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))))

eval49.0ms (0.5%)

Compiler

Compiled 1882 to 1147 computations (39.1% saved)

prune62.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1427149
Fresh000
Picked011
Done011
Total1429151
Error
0b
Counts
151 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
✓0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓57.9b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
61.1b
(/.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)))
▶57.9b
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
▶0.1b
(+.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)))))
0.1b
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
▶0.9b
(*.f64 -2 eps)
▶0.3b
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
Compiler

Compiled 206 to 146 computations (29.1% saved)

localize75.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))
✓0.1b
(*.f64 -2/7 (pow.f64 eps 7))
✓0.1b
(*.f64 -2/5 (pow.f64 eps 5))
✓0.2b
(*.f64 -2/3 (pow.f64 eps 3))
Compiler

Compiled 85 to 68 computations (20% saved)

series14.0ms (0.2%)

Counts
4 → 6
Calls

12 calls:

TimeVariablePointExpression
2.0ms
eps
@-inf
(*.f64 -2/3 (pow.f64 eps 3))
1.0ms
eps
@0
(*.f64 -2/7 (pow.f64 eps 7))
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 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))

rewrite106.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
716×log-prod_binary64
626×fma-def_binary64
332×fma-neg_binary64
295×expm1-udef_binary64
295×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01642
136742
2447842
Stop Event
1×node limit
Counts
4 → 138
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/5 (pow.f64 eps 5))
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))) (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 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 (pow.f64 eps 3) 3) -8/27) 1/3)))) (#(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 (pow.f64 eps 3) 3) -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 log1p.f64 (expm1.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 +.f64 0 (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5))) (cbrt.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5))))) (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 (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 (pow.f64 eps 5) 3) -8/125) 1/3)))) (#(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 (pow.f64 eps 5) 3) -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 log1p.f64 (expm1.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 +.f64 0 (*.f64 -2/7 (pow.f64 eps 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/7) (pow.f64 eps 7))) (cbrt.f64 (pow.f64 (exp.f64 -2/7) (pow.f64 eps 7))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/7) (pow.f64 eps 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/7) (pow.f64 eps 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/7) (pow.f64 eps 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2/7 (pow.f64 eps 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/7 (pow.f64 eps 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/7 (pow.f64 eps 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2/7) (pow.f64 eps 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8/343 (pow.f64 (pow.f64 eps 7) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/49 (pow.f64 eps 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/7) (pow.f64 eps 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/7 (pow.f64 eps 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8/343 (pow.f64 (pow.f64 eps 7) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/7 (pow.f64 eps 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/7 (pow.f64 eps 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/7 (pow.f64 eps 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2/7 (pow.f64 eps 7))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 eps 10) 4/25) (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))))) (/.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))) 2) (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) (pow.f64 (cbrt.f64 (fma.f64 -2/3 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#<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))) 2)) (/.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))) (-.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))) (*.f64 -2/5 (pow.f64 eps 5))) (*.f64 (pow.f64 eps 10) 4/25)) (fma.f64 (pow.f64 (pow.f64 eps 5) 3) -8/125 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))) (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 eps 5) 3) -8/125 (pow.f64 (fma.f64 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simplify139.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1083×sqr-pow_binary64
672×cube-prod_binary64
624×unswap-sqr_binary64
619×fabs-mul_binary64
378×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01663
13963
28063
316163
434363
599363
6146363
7241263
8256663
9281263
10312763
11360863
12428763
13518163
14582763
15633463
16673363
17710863
18732663
Stop Event
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))
Outputs
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))
(fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))
(fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/5 (pow.f64 eps 5)))
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))
(fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))
(fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/5 (pow.f64 eps 5)))

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))
✓0.3b
(*.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)

rewrite50.0ms (0.5%)

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 log1p.f64 (expm1.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 +.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 log1p.f64 (expm1.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))))))))

simplify166.0ms (1.8%)

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))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -2/3 (pow.f64 eps 3))
Compiler

Compiled 25 to 19 computations (24% saved)

localize19.0ms (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)))
✓6.1b
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

series5.0ms (0%)

Counts
4 → 48
Calls

12 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
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
0.0ms
eps
@inf
(/.f64 1 (+.f64 1 eps))
0.0ms
eps
@-inf
(/.f64 1 (+.f64 1 eps))

rewrite101.0ms (1.1%)

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
0836
118435
2285234
Stop Event
1×node limit
Counts
4 → 380
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 1 (+.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 (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 1/3 (-.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 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 eps) -1/2) (sqrt.f64 (/.f64 eps (+.f64 1 eps))))) (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -1/2) (sqrt.f64 (/.f64 eps (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (-.f64 (*.f64 eps eps) eps)))))) (#(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 0 (log.f64 (/.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 1 (-.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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(#(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))))))

simplify69.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
756×times-frac_binary64
592×sub-neg_binary64
400×fma-neg_binary64
341×fma-def_binary64
291×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084630
1250612
2666608
31937605
45861605
Stop Event
1×node limit
Counts
428 → 434
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))))
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 eps (*.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 (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 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.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)))
(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 (-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.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)))
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 eps (*.f64 eps 2) (fma.f64 -2 eps 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 -1 (/.f64 2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3)))
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 -2 (*.f64 eps 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)))))
-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 -1 (/.f64 2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3)))
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 -2 (*.f64 eps 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)))))
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 (*.f64 eps eps) 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 1 (*.f64 eps (-.f64 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 (/.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 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 (/.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 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 (/.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 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 (/.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)))))
eps
(+.f64 eps (*.f64 -1 (pow.f64 eps 2)))
(+.f64 eps (neg.f64 (*.f64 eps eps)))
(-.f64 eps (*.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 -1 eps)))
(*.f64 eps (-.f64 (fma.f64 eps eps 1) eps))
(*.f64 eps (fma.f64 eps eps (-.f64 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 (fma.f64 eps eps 1) (-.f64 eps (*.f64 eps eps)))
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 1 (pow.f64 eps 2))) (+.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 (+.f64 1 (/.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)))))
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 1 (pow.f64 eps 2))) (+.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 (+.f64 1 (/.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)))))

eval288.0ms (3.1%)

Compiler

Compiled 12679 to 9356 computations (26.2% saved)

prune77.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6213624
Fresh202
Picked011
Done336
Total6267633
Error
0b
Counts
633 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓57.9b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶0.0b
(-.f64 (log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps)))) (*.f64 2 (log1p.f64 eps)))
✓57.9b
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
▶0.3b
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
✓0.9b
(*.f64 -2 eps)
▶57.8b
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
Compiler

Compiled 69 to 51 computations (26.1% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 eps) (-.f64 1 eps))
✓6.2b
(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
Compiler

Compiled 33 to 24 computations (27.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite54.0ms (0.6%)

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 log1p.f64 (expm1.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 +.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 log1p.f64 (expm1.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))))))))

simplify49.0ms (0.5%)

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))

localize13.0ms (0.1%)

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))
0.3b
(*.f64 eps -2/3)
Compiler

Compiled 33 to 21 computations (36.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite46.0ms (0.5%)

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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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)))))))

simplify164.0ms (1.8%)

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))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps)))) (*.f64 2 (log1p.f64 eps)))
✓0.0b
(log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps))))
✓0.0b
(*.f64 eps (+.f64 1 eps))
✓6.3b
(-.f64 eps (*.f64 eps (+.f64 1 eps)))
Compiler

Compiled 46 to 28 computations (39.1% saved)

series14.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
6.0ms
eps
@-inf
(-.f64 (log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps)))) (*.f64 2 (log1p.f64 eps)))
3.0ms
eps
@0
(log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps))))
1.0ms
eps
@inf
(log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps))))
1.0ms
eps
@-inf
(-.f64 eps (*.f64 eps (+.f64 1 eps)))
1.0ms
eps
@0
(-.f64 eps (*.f64 eps (+.f64 1 eps)))

rewrite95.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
590×fma-def_binary64
577×log-prod_binary64
380×pow-prod-down_binary64
307×pow2_binary64
249×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01149
124849
2347539
Stop Event
1×node limit
Counts
4 → 270
Calls
Call 1
Inputs
(-.f64 eps (*.f64 eps (+.f64 1 eps)))
(*.f64 eps (+.f64 1 eps))
(log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps))))
(-.f64 (log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps)))) (*.f64 2 (log1p.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (neg.f64 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 (neg.f64 (fma.f64 eps eps eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (fma.f64 eps eps eps)) (fma.f64 (neg.f64 (fma.f64 eps eps eps)) 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (fma.f64 eps eps eps)) (+.f64 (neg.f64 (fma.f64 eps eps eps)) (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (fma.f64 eps eps eps)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 eps eps eps))) (cbrt.f64 (pow.f64 (fma.f64 eps eps eps) 2)) (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 eps (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 eps eps eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 eps (fma.f64 eps eps eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 eps (fma.f64 eps eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (fma.f64 eps eps eps))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (fma.f64 eps eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (-.f64 1 (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 eps (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 eps (fma.f64 eps eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 eps (fma.f64 eps eps eps))) (cbrt.f64 (pow.f64 (-.f64 eps (fma.f64 eps eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 eps (fma.f64 eps eps eps)) 2)) (cbrt.f64 (-.f64 eps (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 eps (fma.f64 eps eps eps))) (sqrt.f64 (-.f64 eps (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps eps eps) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (fma.f64 eps eps eps) (fma.f64 eps (+.f64 eps 1) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (pow.f64 (fma.f64 eps eps eps) 2)) (/.f64 1 (fma.f64 eps (+.f64 eps 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 eps) (hypot.f64 eps (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) (hypot.f64 eps (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (fma.f64 eps eps eps) (fma.f64 eps (+.f64 eps 1) eps))) (-.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps eps eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps (+.f64 eps 1) eps) (-.f64 (*.f64 eps eps) (pow.f64 (fma.f64 eps eps eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps eps eps) 3)) (fma.f64 eps eps (*.f64 (fma.f64 eps eps eps) (fma.f64 eps (+.f64 eps 1) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (pow.f64 (fma.f64 eps eps eps) 2)) (fma.f64 eps (+.f64 eps 1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps eps eps) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (fma.f64 eps eps eps) (fma.f64 eps (+.f64 eps 1) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (fma.f64 eps eps eps) 2))) (neg.f64 (fma.f64 eps (+.f64 eps 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (fma.f64 eps eps eps)) 3)) (fma.f64 eps eps (-.f64 (pow.f64 (neg.f64 (fma.f64 eps eps eps)) 2) (*.f64 eps (neg.f64 (fma.f64 eps eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (pow.f64 (neg.f64 (fma.f64 eps eps eps)) 2)) (-.f64 eps (neg.f64 (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 eps (fma.f64 eps eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 eps (fma.f64 eps eps eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 eps (fma.f64 eps eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 eps (fma.f64 eps eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 eps (fma.f64 eps eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 eps eps (*.f64 (fma.f64 eps eps eps) (fma.f64 eps (+.f64 eps 1) eps))) (-.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps eps eps) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 eps (+.f64 eps 1) eps) (-.f64 (*.f64 eps eps) (pow.f64 (fma.f64 eps eps eps) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 eps (fma.f64 eps eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 eps (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (fma.f64 eps eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 eps) (+.f64 1 (expm1.f64 (fma.f64 eps eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (+.f64 1 (expm1.f64 (fma.f64 eps eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (neg.f64 (fma.f64 eps eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (/.f64 1 (exp.f64 (fma.f64 eps eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps eps eps))) (exp.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps eps eps))) (+.f64 1 (expm1.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (fma.f64 eps eps eps))) (+.f64 1 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(log1p.f64 (-.f64 eps (fma.f64 eps eps eps)))) (*.f64 (*.f64 (log1p.f64 eps) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 (-.f64 eps (fma.f64 eps eps eps))) 3) (*.f64 8 (pow.f64 (log1p.f64 eps) 3))) (/.f64 1 (fma.f64 (*.f64 2 (log1p.f64 eps)) (fma.f64 2 (log1p.f64 eps) (log1p.f64 (-.f64 eps (fma.f64 eps eps eps)))) (pow.f64 (log1p.f64 (-.f64 eps (fma.f64 eps eps eps))) 2))) (fma.f64 (*.f64 (log1p.f64 eps) -2) 1 (*.f64 2 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 (-.f64 eps (fma.f64 eps eps eps))) 3) (*.f64 8 (pow.f64 (log1p.f64 eps) 3))) (/.f64 1 (fma.f64 (*.f64 2 (log1p.f64 eps)) (fma.f64 2 (log1p.f64 eps) (log1p.f64 (-.f64 eps (fma.f64 eps eps eps)))) (pow.f64 (log1p.f64 (-.f64 eps (fma.f64 eps eps eps))) 2))) (fma.f64 -2 (log1p.f64 eps) (*.f64 2 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 (-.f64 eps (fma.f64 eps eps eps))) 3) (*.f64 8 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(log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (-.f64 eps (fma.f64 eps eps eps)))) (sqrt.f64 (*.f64 2 (log1p.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 2 (log1p.f64 eps))) 2) (*.f64 2 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log1p.f64 eps))) 2)) (cbrt.f64 (*.f64 2 (log1p.f64 eps))) (log1p.f64 (-.f64 eps (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (log1p.f64 eps) 2))) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 (-.f64 eps (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 (-.f64 eps (fma.f64 eps eps eps))))))))

simplify58.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
649×associate-*l*_binary64
624×fma-neg_binary64
506×sub-neg_binary64
486×associate-*r*_binary64
459×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
096685
1290658
2893656
33270566
Stop Event
1×node limit
Counts
318 → 322
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
eps
(+.f64 (pow.f64 eps 2) eps)
(+.f64 (pow.f64 eps 2) eps)
(+.f64 (pow.f64 eps 2) eps)
(pow.f64 eps 2)
(+.f64 eps (pow.f64 eps 2))
(+.f64 eps (pow.f64 eps 2))
(+.f64 eps (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 eps (pow.f64 eps 2))
(+.f64 eps (pow.f64 eps 2))
(+.f64 eps (pow.f64 eps 2))
(*.f64 -1 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 4)))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4))))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/4 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2)))))
(*.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 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (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 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
eps
(+.f64 (pow.f64 eps 2) eps)
(+.f64 eps (*.f64 eps eps))
(fma.f64 eps eps eps)
(+.f64 (pow.f64 eps 2) eps)
(+.f64 eps (*.f64 eps eps))
(fma.f64 eps eps eps)
(+.f64 (pow.f64 eps 2) eps)
(+.f64 eps (*.f64 eps eps))
(fma.f64 eps eps eps)
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 eps (pow.f64 eps 2))
(+.f64 eps (*.f64 eps eps))
(fma.f64 eps eps eps)
(+.f64 eps (pow.f64 eps 2))
(+.f64 eps (*.f64 eps eps))
(fma.f64 eps eps eps)
(+.f64 eps (pow.f64 eps 2))
(+.f64 eps (*.f64 eps eps))
(fma.f64 eps eps eps)
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 eps (pow.f64 eps 2))
(+.f64 eps (*.f64 eps eps))
(fma.f64 eps eps eps)
(+.f64 eps (pow.f64 eps 2))
(+.f64 eps (*.f64 eps eps))
(fma.f64 eps eps eps)
(+.f64 eps (pow.f64 eps 2))
(+.f64 eps (*.f64 eps eps))
(fma.f64 eps eps eps)
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 4)))
(fma.f64 -1 (*.f64 eps eps) (*.f64 -1/2 (pow.f64 eps 4)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 4)) (*.f64 eps eps))
(fma.f64 -1/2 (pow.f64 eps 4) (*.f64 eps (neg.f64 eps)))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 3) -1/2) eps))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4))))
(fma.f64 -1 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 6) (*.f64 -1/2 (pow.f64 eps 4))))
(-.f64 (fma.f64 -1/2 (pow.f64 eps 4) (*.f64 -1/3 (pow.f64 eps 6))) (*.f64 eps eps))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/4 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4)))))
(fma.f64 -1 (*.f64 eps eps) (fma.f64 -1/4 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 6) (*.f64 -1/2 (pow.f64 eps 4)))))
(-.f64 (fma.f64 -1/4 (pow.f64 eps 8) (fma.f64 -1/2 (pow.f64 eps 4) (*.f64 -1/3 (pow.f64 eps 6)))) (*.f64 eps eps))
(-.f64 (fma.f64 -1/2 (pow.f64 eps 4) (fma.f64 -1/4 (pow.f64 eps 8) (*.f64 -1/3 (pow.f64 eps 6)))) (*.f64 eps eps))
(-.f64 (fma.f64 -1/2 (pow.f64 eps 4) (fma.f64 -1/3 (pow.f64 eps 6) (*.f64 -1/4 (pow.f64 eps 8)))) (*.f64 eps eps))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (log.f64 -1))
(fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1))
(+.f64 (log.f64 -1) (*.f64 2 (log.f64 eps)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (/.f64 1 (*.f64 eps eps)))
(+.f64 (*.f64 2 (log.f64 eps)) (+.f64 (log.f64 -1) (/.f64 -1 (*.f64 eps eps))))
(+.f64 (log.f64 -1) (fma.f64 2 (log.f64 eps) (/.f64 -1 (*.f64 eps eps))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/2 (pow.f64 eps 4))))
(+.f64 (-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (/.f64 1/2 (pow.f64 eps 4))) (/.f64 -1 (*.f64 eps eps)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1/2 (pow.f64 eps 4))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 2 (log.f64 eps) (/.f64 -1 (*.f64 eps eps))) (/.f64 -1/2 (pow.f64 eps 4))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (/.f64 1/2 (pow.f64 eps 4))) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/3 (pow.f64 eps 6))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 1/2 (pow.f64 eps 4)) (/.f64 1/3 (pow.f64 eps 6)))))
(+.f64 (*.f64 2 (log.f64 eps)) (-.f64 (-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/3 (pow.f64 eps 6)))) (/.f64 1/2 (pow.f64 eps 4))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (fma.f64 2 (log.f64 eps) (/.f64 -1 (*.f64 eps eps))) (/.f64 -1/3 (pow.f64 eps 6))) (/.f64 -1/2 (pow.f64 eps 4))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (log.f64 -1))
(fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (/.f64 1 (*.f64 eps eps)))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1 (*.f64 eps eps))))
(fma.f64 -2 (log.f64 (/.f64 -1 eps)) (-.f64 (log.f64 -1) (/.f64 1 (*.f64 eps eps))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/2 (pow.f64 eps 4))))
(+.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (/.f64 1/2 (pow.f64 eps 4))) (/.f64 -1 (*.f64 eps eps)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1/2 (pow.f64 eps 4))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/3 (pow.f64 eps 6)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 1/2 (pow.f64 eps 4)) (/.f64 1/3 (pow.f64 eps 6)))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1 (*.f64 eps eps))) (/.f64 1/3 (pow.f64 eps 6))) (/.f64 -1/2 (pow.f64 eps 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1/2 (pow.f64 eps 4))) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (/.f64 -1/3 (pow.f64 eps 6))))
(*.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 eps -2 (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -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 eps -2 (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 eps -2)))
(+.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 eps -2 (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 eps -2 (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 (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 (-.f64 (log.f64 -1) (/.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 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (*.f64 -2 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps)))))
(fma.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)))
(neg.f64 (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 2 eps) (*.f64 2 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (fma.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (/.f64 2 eps)))
(+.f64 (/.f64 -2 eps) (fma.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1))))
(+.f64 (/.f64 -2 eps) (neg.f64 (log.f64 -1)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (fma.f64 2 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (fma.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (fma.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))))
(+.f64 (+.f64 (neg.f64 (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (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 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (fma.f64 2 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))) (fma.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (/.f64 2/3 (pow.f64 eps 3)))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (fma.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3)))) (/.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (+.f64 (+.f64 (neg.f64 (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) (/.f64 -2/5 (pow.f64 eps 5)))

eval142.0ms (1.5%)

Compiler

Compiled 8652 to 4365 computations (49.5% saved)

prune57.0ms (0.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New4472449
Fresh000
Picked101
Done066
Total4488456
Error
0b
Counts
456 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓57.9b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
✓57.8b
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
▶58.0b
(neg.f64 (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1)))
▶0.0b
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 2 (log1p.f64 eps)))
✓57.9b
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
✓0.3b
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
✓0.9b
(*.f64 -2 eps)
Compiler

Compiled 80 to 61 computations (23.8% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 eps) (-.f64 1 eps))
✓0.0b
(+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
✓0.0b
(-.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1)
✓6.2b
(log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1))
Compiler

Compiled 61 to 48 computations (21.3% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite90.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
641×prod-diff_binary64
527×fma-def_binary64
450×log-prod_binary64
250×pow2_binary64
230×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0947
121133
2322133
Stop Event
1×node limit
Counts
3 → 273
Calls
Call 1
Inputs
(log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1)
(+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
Outputs
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1 eps))) 2) (+.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 eps)) (+.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))) (/.f64 1 (+.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 2)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 2)) (sqrt.f64 (+.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 eps)) (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) 1) (/.f64 (sqrt.f64 (+.f64 1 eps)) (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 eps) 2))) (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (cbrt.f64 (pow.f64 (-.f64 1 eps) 2))) (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (cbrt.f64 (pow.f64 (-.f64 1 eps) 2))) (/.f64 (sqrt.f64 (+.f64 1 eps)) (cbrt.f64 (-.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 eps))) (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)) 1)))))

simplify65.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
405×fma-neg_binary64
366×distribute-lft-out_binary64
365×fma-def_binary64
297×sub-neg_binary64
291×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071508
1218484
2632480
31969473
45214473
Stop Event
1×node limit
Counts
309 → 315
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)))))))
2
(+.f64 (*.f64 2 eps) 2)
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 2))
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 2)))
(/.f64 -2 eps)
(neg.f64 (+.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 (*.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 (*.f64 2 (/.f64 1 eps)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 2))) (*.f64 2 (/.f64 1 (pow.f64 eps 4)))))))
(/.f64 -2 eps)
(neg.f64 (+.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 (*.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 (*.f64 2 (/.f64 1 eps)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 2))) (*.f64 2 (/.f64 1 (pow.f64 eps 4)))))))
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 eps (*.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 2/7 (pow.f64 eps 7) (fma.f64 2/3 (pow.f64 eps 3) (fma.f64 2 eps (*.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)))))
(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 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 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))
(+.f64 1 (*.f64 eps (fma.f64 2 eps 2)))
(+.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)))
(+.f64 (fma.f64 2 eps 1) (*.f64 (*.f64 eps eps) (fma.f64 2 eps 2)))
(+.f64 1 (*.f64 (*.f64 2 eps) (+.f64 eps (fma.f64 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))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(+.f64 -1 (+.f64 (/.f64 -2 eps) (/.f64 -2 (*.f64 eps eps))))
(+.f64 (+.f64 -1 (/.f64 -2 eps)) (/.f64 -2 (*.f64 eps eps)))
(+.f64 -1 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 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 -2 (pow.f64 eps 3)) (+.f64 (+.f64 1 (/.f64 2 eps)) (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2 (*.f64 eps eps))) (/.f64 -2 (pow.f64 eps 3))))
(+.f64 (+.f64 -1 (/.f64 -2 eps)) (+.f64 (/.f64 -2 (pow.f64 eps 3)) (/.f64 (/.f64 -2 eps) eps)))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.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))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(+.f64 -1 (+.f64 (/.f64 -2 eps) (/.f64 -2 (*.f64 eps eps))))
(+.f64 (+.f64 -1 (/.f64 -2 eps)) (/.f64 -2 (*.f64 eps eps)))
(+.f64 -1 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 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 -2 (pow.f64 eps 3)) (+.f64 (+.f64 1 (/.f64 2 eps)) (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2 (*.f64 eps eps))) (/.f64 -2 (pow.f64 eps 3))))
(+.f64 (+.f64 -1 (/.f64 -2 eps)) (+.f64 (/.f64 -2 (pow.f64 eps 3)) (/.f64 (/.f64 -2 eps) eps)))
2
(+.f64 (*.f64 2 eps) 2)
(fma.f64 2 eps 2)
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 2))
(fma.f64 2 eps (fma.f64 2 (*.f64 eps eps) 2))
(*.f64 2 (+.f64 eps (fma.f64 eps eps 1)))
(+.f64 2 (*.f64 eps (fma.f64 2 eps 2)))
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 2)))
(fma.f64 2 eps (fma.f64 2 (pow.f64 eps 3) (fma.f64 2 (*.f64 eps eps) 2)))
(+.f64 (fma.f64 2 eps 2) (*.f64 (*.f64 eps eps) (fma.f64 2 eps 2)))
(*.f64 (fma.f64 eps eps 1) (fma.f64 2 eps 2))
(/.f64 -2 eps)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(neg.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 -2 eps) (/.f64 -2 (*.f64 eps eps)))
(+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2 (*.f64 eps eps))) (/.f64 -2 (pow.f64 eps 3)))
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps)) (/.f64 -2 (pow.f64 eps 3)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 2))) (*.f64 2 (/.f64 1 (pow.f64 eps 4)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 4))))))
(-.f64 (/.f64 -2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2 (*.f64 eps eps))) (/.f64 -2 (pow.f64 eps 3))) (/.f64 -2 (pow.f64 eps 4)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 eps 3)) (/.f64 (/.f64 -2 eps) eps)) (+.f64 (/.f64 -2 eps) (/.f64 -2 (pow.f64 eps 4))))
(/.f64 -2 eps)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(neg.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 -2 eps) (/.f64 -2 (*.f64 eps eps)))
(+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2 (*.f64 eps eps))) (/.f64 -2 (pow.f64 eps 3)))
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps)) (/.f64 -2 (pow.f64 eps 3)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 2))) (*.f64 2 (/.f64 1 (pow.f64 eps 4)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 4))))))
(-.f64 (/.f64 -2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2 (*.f64 eps eps))) (/.f64 -2 (pow.f64 eps 3))) (/.f64 -2 (pow.f64 eps 4)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 eps 3)) (/.f64 (/.f64 -2 eps) eps)) (+.f64 (/.f64 -2 eps) (/.f64 -2 (pow.f64 eps 4))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 2 (log1p.f64 eps)))
✓0.0b
(log1p.f64 (*.f64 eps (neg.f64 eps)))
Compiler

Compiled 30 to 11 computations (63.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(log1p.f64 (*.f64 eps (neg.f64 eps)))
0.0ms
eps
@inf
(log1p.f64 (*.f64 eps (neg.f64 eps)))
0.0ms
eps
@-inf
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 2 (log1p.f64 eps)))
0.0ms
eps
@0
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 2 (log1p.f64 eps)))
0.0ms
eps
@-inf
(log1p.f64 (*.f64 eps (neg.f64 eps)))

rewrite55.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
855×pow1_binary64
796×add-log-exp_binary64
794×expm1-log1p-u_binary64
792×log1p-expm1-u_binary64
780×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0924
119620
2259120
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(log1p.f64 (*.f64 eps (neg.f64 eps)))
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 2 (log1p.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps))) 2) (cbrt.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 eps eps))) (sqrt.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 eps eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 (log1p.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 (*.f64 (log1p.f64 eps) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 2 (*.f64 2 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) (fma.f64 -2 (log1p.f64 eps) (*.f64 2 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) (fma.f64 (*.f64 (log1p.f64 eps) -2) 1 (*.f64 2 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 2 (log1p.f64 eps))) 2) (*.f64 2 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (log1p.f64 eps)))) (sqrt.f64 (*.f64 2 (log1p.f64 eps))) (*.f64 2 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 eps) -2) (log1p.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))) 2) (cbrt.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 3) (*.f64 8 (pow.f64 (log1p.f64 eps) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2) (*.f64 (*.f64 2 (log1p.f64 eps)) (+.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2) (*.f64 4 (pow.f64 (log1p.f64 eps) 2))) (/.f64 1 (+.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 (*.f64 eps eps))) (sqrt.f64 (*.f64 2 (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (*.f64 eps eps))) (sqrt.f64 (*.f64 2 (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2) (*.f64 (*.f64 2 (log1p.f64 eps)) (+.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))))) (-.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 3) (*.f64 8 (pow.f64 (log1p.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) (-.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2) (*.f64 4 (pow.f64 (log1p.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 3) (*.f64 8 (pow.f64 (log1p.f64 eps) 3))) (+.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2) (*.f64 (*.f64 2 (log1p.f64 eps)) (+.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2) (*.f64 4 (pow.f64 (log1p.f64 eps) 2))) (+.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 3) (*.f64 8 (pow.f64 (log1p.f64 eps) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2) (*.f64 (*.f64 2 (log1p.f64 eps)) (+.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2) (*.f64 4 (pow.f64 (log1p.f64 eps) 2)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 3) (pow.f64 (*.f64 (log1p.f64 eps) -2) 3)) (+.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2) (-.f64 (*.f64 (*.f64 (log1p.f64 eps) -2) (*.f64 (log1p.f64 eps) -2)) (*.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 (log1p.f64 eps) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2) (*.f64 (*.f64 (log1p.f64 eps) -2) (*.f64 (log1p.f64 eps) -2))) (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 (log1p.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (pow.f64 (+.f64 eps 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (*.f64 2 (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (*.f64 eps eps)) (*.f64 (log1p.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps))) 2) (cbrt.f64 (log1p.f64 (*.f64 eps eps))) (*.f64 (log1p.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (*.f64 eps eps))) (sqrt.f64 (log1p.f64 (*.f64 eps eps))) (*.f64 (log1p.f64 eps) -2))))))

simplify48.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
649×associate-*l*_binary64
624×fma-neg_binary64
507×sub-neg_binary64
482×associate-*r*_binary64
455×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094541
1288532
2889530
33266440
Stop Event
1×node limit
Counts
76 → 99
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 4)))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4))))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/4 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2)))))
(*.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 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (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 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 4)))
(fma.f64 -1 (*.f64 eps eps) (*.f64 -1/2 (pow.f64 eps 4)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 4)) (*.f64 eps eps))
(fma.f64 -1/2 (pow.f64 eps 4) (*.f64 eps (neg.f64 eps)))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4))))
(fma.f64 -1 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 6) (*.f64 -1/2 (pow.f64 eps 4))))
(-.f64 (fma.f64 -1/2 (pow.f64 eps 4) (*.f64 -1/3 (pow.f64 eps 6))) (*.f64 eps eps))
(fma.f64 -1/2 (pow.f64 eps 4) (-.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 eps eps)))
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/4 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4)))))
(fma.f64 -1 (*.f64 eps eps) (fma.f64 -1/4 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 6) (*.f64 -1/2 (pow.f64 eps 4)))))
(-.f64 (fma.f64 -1/4 (pow.f64 eps 8) (fma.f64 -1/2 (pow.f64 eps 4) (*.f64 -1/3 (pow.f64 eps 6)))) (*.f64 eps eps))
(-.f64 (fma.f64 -1/3 (pow.f64 eps 6) (fma.f64 -1/2 (pow.f64 eps 4) (*.f64 -1/4 (pow.f64 eps 8)))) (*.f64 eps eps))
(-.f64 (fma.f64 -1/2 (pow.f64 eps 4) (fma.f64 -1/3 (pow.f64 eps 6) (*.f64 -1/4 (pow.f64 eps 8)))) (*.f64 eps eps))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (log.f64 -1))
(fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1))
(-.f64 (log.f64 -1) (*.f64 -2 (log.f64 eps)))
(+.f64 (log.f64 -1) (*.f64 2 (log.f64 eps)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (/.f64 1 (*.f64 eps eps)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (/.f64 -1 (*.f64 eps eps)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2 (log.f64 eps)) (/.f64 -1 (*.f64 eps eps))))
(+.f64 (log.f64 -1) (fma.f64 2 (log.f64 eps) (/.f64 -1 (*.f64 eps eps))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/2 (pow.f64 eps 4))))
(+.f64 (-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (/.f64 1/2 (pow.f64 eps 4))) (/.f64 -1 (*.f64 eps eps)))
(+.f64 (-.f64 (log.f64 -1) (*.f64 -2 (log.f64 eps))) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1/2 (pow.f64 eps 4))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 2 (log.f64 eps) (/.f64 -1 (*.f64 eps eps))) (/.f64 -1/2 (pow.f64 eps 4))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (/.f64 1/2 (pow.f64 eps 4))) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/3 (pow.f64 eps 6))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 1/2 (pow.f64 eps 4)) (/.f64 1/3 (pow.f64 eps 6)))))
(+.f64 (*.f64 2 (log.f64 eps)) (+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1/2 (pow.f64 eps 4))) (/.f64 1/3 (pow.f64 eps 6)))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 2 (log.f64 eps) (/.f64 -1 (*.f64 eps eps))) (+.f64 (/.f64 -1/2 (pow.f64 eps 4)) (/.f64 -1/3 (pow.f64 eps 6)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (log.f64 -1))
(fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (/.f64 1 (*.f64 eps eps)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (/.f64 -1 (*.f64 eps eps)))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1 (*.f64 eps eps))))
(fma.f64 -2 (log.f64 (/.f64 -1 eps)) (+.f64 (log.f64 -1) (/.f64 -1 (*.f64 eps eps))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/2 (pow.f64 eps 4))))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1/2 (pow.f64 eps 4)))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1/2 (pow.f64 eps 4))) (/.f64 -1 (*.f64 eps eps))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/3 (pow.f64 eps 6)))))
(-.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/2 (pow.f64 eps 4)))) (/.f64 1/3 (pow.f64 eps 6)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1/2 (pow.f64 eps 4)))) (-.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 eps 6))))
(fma.f64 -2 (log.f64 (/.f64 -1 eps)) (+.f64 (+.f64 (log.f64 -1) (/.f64 -1/3 (pow.f64 eps 6))) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1/2 (pow.f64 eps 4)))))
(*.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 eps -2 (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -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 eps -2 (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 eps -2 (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 eps -2 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/5 (pow.f64 eps 5)))))
(fma.f64 eps -2 (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 (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 -2/5 (pow.f64 eps 5))) (/.f64 -2/3 (pow.f64 eps 3))))
(+.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 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (*.f64 -2 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps)))))
(fma.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)))
(neg.f64 (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 2 eps) (*.f64 2 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (fma.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (/.f64 2 eps)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (fma.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (/.f64 -2 eps)))
(+.f64 (/.f64 -2 eps) (neg.f64 (log.f64 -1)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (fma.f64 2 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (fma.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -2 eps)) (fma.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (/.f64 2/3 (pow.f64 eps 3)))))
(+.f64 (+.f64 (/.f64 -2 eps) (neg.f64 (log.f64 -1))) (/.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (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 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (fma.f64 2 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (fma.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -2 eps)) (fma.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (/.f64 2/3 (pow.f64 eps 3)))) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (-.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/5 (pow.f64 eps 5))) (/.f64 2/3 (pow.f64 eps 3))) (neg.f64 (log.f64 -1)))

eval179.0ms (1.9%)

Compiler

Compiled 8669 to 6128 computations (29.3% saved)

prune209.0ms (2.3%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New4650465
Fresh000
Picked011
Done077
Total4658473
Error
0b
Counts
473 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓57.9b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
✓57.8b
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
✓58.0b
(neg.f64 (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1)))
✓0.0b
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 2 (log1p.f64 eps)))
✓57.9b
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
✓0.3b
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
✓0.9b
(*.f64 -2 eps)
Compiler

Compiled 80 to 61 computations (23.8% saved)

regimes20.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(neg.f64 (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log1p.f64 (-.f64 eps (*.f64 eps (+.f64 1 eps)))) (*.f64 2 (log1p.f64 eps)))
(+.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)))))
(/.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)))
Outputs
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 2 (log1p.f64 eps)))
Calls

3 calls:

9.0ms
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(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 178 to 120 computations (32.6% saved)

regimes14.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(neg.f64 (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Calls

3 calls:

5.0ms
eps
3.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
2.0ms
(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(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 99 to 73 computations (26.3% saved)

regimes24.0ms (0.3%)

Accuracy

Total -58.2b remaining (-20402.5%)

Threshold costs -58.2b (-20402.5%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(neg.f64 (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 1)))
Outputs
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
Calls

3 calls:

13.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.0ms
eps
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
ErrorSegmentsBranch
0.3b1eps
0.3b1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.3b1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 93 to 69 computations (25.8% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
13846
25246
35946
46246
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
(*.f64 -2 eps)
Outputs
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 2 (log1p.f64 eps)))
(+.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 -2 (log1p.f64 eps)))
(+.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 (log1p.f64 eps) -2))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps -2/3))) (*.f64 eps -2))
(*.f64 -2 eps)
(*.f64 eps -2)
Compiler

Compiled 34 to 24 computations (29.4% saved)

soundness141.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
649×associate-*l*_binary64
624×fma-neg_binary64
506×sub-neg_binary64
486×associate-*r*_binary64
459×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
096685
1290658
2893656
33270566
Stop Event
1×node limit
Compiler

Compiled 21 to 15 computations (28.6% saved)

end30.0ms (0.3%)

Compiler

Compiled 31 to 19 computations (38.7% saved)

Profiling

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