Details

Time bar (total: 3.5s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
66.7%50%25%0%25%0%0%4
80%50%12.5%0%37.5%0%0%5
88.9%50%6.2%0%43.7%0%0%6
94.1%50%3.1%0%46.9%0%0%7
97%50%1.6%0%48.4%0%0%8
98.5%50%0.8%0%49.2%0%0%9
99.2%50.4%0.4%0%49.2%0%0%10
99.6%50.4%0.2%0%49.4%0%0%11
99.8%50.4%0.1%0%49.5%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.5s (72%)

Results
1.6s4101×body1024valid
454.0ms2067×body512valid
207.0ms442×body2048valid
192.0ms1646×body256valid
1.0ms10×body256infinite
Bogosity

preprocess69.0ms (2%)

Algorithm
2×egg-herbie
Rules
618×fma-neg_binary64
579×fma-def_binary64
523×cancel-sign-sub-inv_binary64
509×associate-/l*_binary64
425×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11913
23413
35813
412013
526013
671513
7215513
8500312
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify52.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
618×fma-neg_binary64
579×fma-def_binary64
523×cancel-sign-sub-inv_binary64
509×associate-/l*_binary64
425×times-frac_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
0813
11913
23413
35813
412013
526013
671513
7215513
8500312
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
58.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶58.0b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.6b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms
x
@-inf
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms
x
@inf
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite34.0ms (1%)

Algorithm
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
70×add-sqr-sqrt_binary64
67×add-log-exp_binary64
66×*-un-lft-identity_binary64
66×pow1_binary64
65×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11306
221886
066
Stop Event
1×iter limit
1×unsound
Counts
1 → 13
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))))))

simplify70.0ms (2%)

Algorithm
1×egg-herbie
Rules
700×fma-def_binary64
676×unswap-sqr_binary64
322×associate-*l*_binary64
309×associate-*l/_binary64
268×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02798
16898
215198
339198
473998
5165198
6255598
7414898
8709898
Stop Event
1×node limit
Counts
21 → 22
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/3) 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

eval12.0ms (0.4%)

Compiler

Compiled 286 to 189 computations (33.9% saved)

prune7.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New19322
Fresh000
Picked101
Done000
Total20323
Error
0b
Counts
23 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(/.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))) 2)
▶0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶1.3b
(/.f64 (*.f64 2 x) 2)
Compiler

Compiled 37 to 31 computations (16.2% saved)

localize9.0ms (0.3%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 x)
Compiler

Compiled 15 to 9 computations (40% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(sinh.f64 x)
1.0ms
x
@-inf
(sinh.f64 x)
1.0ms
x
@0
(sinh.f64 x)

rewrite81.0ms (2.3%)

Algorithm
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
318×pow1_binary64
311×add-sqr-sqrt_binary64
302×*-un-lft-identity_binary64
297×add-log-exp_binary64
296×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1633
27853
033
Stop Event
1×iter limit
1×node limit
Counts
1 → 10
Calls
Call 1
Inputs
(sinh.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 x)))))))

simplify93.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
878×fma-def_binary64
626×distribute-rgt-neg-in_binary64
624×unswap-sqr_binary64
560×distribute-lft-neg-in_binary64
308×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025150
167150
2151142
3370142
4684142
51506142
62337142
73591142
84578142
97248142
Stop Event
1×node limit
Counts
22 → 19
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
Outputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

localize71.0ms (2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))
✓0.0b
(*.f64 1/2520 (pow.f64 x 7))
✓0.1b
(*.f64 1/60 (pow.f64 x 5))
✓0.1b
(*.f64 1/3 (pow.f64 x 3))
Compiler

Compiled 108 to 87 computations (19.4% saved)

series13.0ms (0.4%)

Counts
4 → 8
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 1/60 (pow.f64 x 5))
2.0ms
x
@inf
(*.f64 1/3 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 1/2520 (pow.f64 x 7))
1.0ms
x
@0
(*.f64 1/3 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 1/60 (pow.f64 x 5))

rewrite117.0ms (3.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01642
136742
2447342
Stop Event
1×node limit
Counts
4 → 138
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -2/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/60)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/60)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/60))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/60))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/60))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 1/216000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 1/3600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/60))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 1/216000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) 1/2520)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) 1/2520)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) 1/2520))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) 1/2520))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) 1/2520))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2520 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2520 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2520 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2520) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16003008000 (pow.f64 (pow.f64 x 7) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/6350400 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) 1/2520))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/16003008000 (pow.f64 (pow.f64 x 7) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2520 (pow.f64 x 7))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 1/3 (pow.f64 x 3)) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))) (/.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))) 2) (-.f64 (*.f64 1/3 (pow.f64 x 3)) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) 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(pow.f64 x 5)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))))))

simplify161.0ms (4.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
017105
144105
293105
3207105
4404105
51094105
61610105
72559105
82713105
92960105
103275105
113756105
124435105
135329105
145973105
156484105
166881105
177258105
187472105
Stop Event
1×node limit
Counts
146 → 145
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))

eval103.0ms (3%)

Compiler

Compiled 4406 to 3642 computations (17.3% saved)

prune20.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1640164
Fresh000
Picked011
Done022
Total1643167
Error
0b
Counts
167 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.5b
(/.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))) 2)
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓1.3b
(/.f64 (*.f64 2 x) 2)
Compiler

Compiled 37 to 31 computations (16.2% saved)

regimes11.0ms (0.3%)

Accuracy

Total -59.0b remaining (-1511261.7%)

Threshold costs -59.0b (-1511261.7%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) 2)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))) 2)
Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Calls

3 calls:

5.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
0.0b1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 61 to 48 computations (21.3% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11016
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (*.f64 2 x) 2)
Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (*.f64 2 x) 2)
Compiler

Compiled 13 to 11 computations (15.4% saved)

soundness0.0ms (0%)

end18.0ms (0.5%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

Profiling

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