Details

Time bar (total: 5.7s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 27 to 22 computations (18.5% saved)

sample1.3s (22.1%)

Results
1.2s8256×body256valid
Bogosity

preprocess149.0ms (2.6%)

Algorithm
egg-herbie
Rules
955×fma-def_binary64
567×unsub-neg_binary64
542×distribute-rgt-neg-in_binary64
487×sub-neg_binary64
450×distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
13519
211517
335415
413067
536917
654187
769257
879027
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
Outputs
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
(fma.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 -1 (*.f64 -2 (*.f64 t 1/5000000000000000))))
(+.f64 (fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) -1) (*.f64 -1/2500000000000000 t))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1))
(fma.f64 (*.f64 t 1/5000000000000000) (fma.f64 t 1/5000000000000000 2) (*.f64 t -1/2500000000000000))
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify104.0ms (1.8%)

Algorithm
egg-herbie
Rules
955×fma-def_binary64
567×unsub-neg_binary64
542×distribute-rgt-neg-in_binary64
487×sub-neg_binary64
450×distribute-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01226
13519
211517
335415
413067
536917
654187
769257
879027
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
Outputs
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
(fma.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 -1 (*.f64 -2 (*.f64 t 1/5000000000000000))))
(+.f64 (fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) -1) (*.f64 -1/2500000000000000 t))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1))
(fma.f64 (*.f64 t 1/5000000000000000) (fma.f64 t 1/5000000000000000 2) (*.f64 t -1/2500000000000000))
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))

eval1.0ms (0%)

Compiler

Compiled 25 to 20 computations (20% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.4b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
0.4b
(*.f64 t 1/25000000000000000000000000000000)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@-inf
(*.f64 t 1/25000000000000000000000000000000)
1.0ms
t
@0
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
1.0ms
t
@inf
(*.f64 t 1/25000000000000000000000000000000)
1.0ms
t
@0
(*.f64 t 1/25000000000000000000000000000000)
0.0ms
t
@inf
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))

rewrite48.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
445×pow1_binary64
430×add-sqr-sqrt_binary64
422×*-un-lft-identity_binary64
414×add-log-exp_binary64
414×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
110211
2114211
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 t 1/5000000000000000))))))))

simplify194.0ms (3.4%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
553×fabs-mul_binary64
523×pow-sqr_binary64
443×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07132
114132
223132
342132
4102132
5321132
61252132
72126132
82290132
92474132
102682132
112978132
123371132
133852132
144418132
155106132
165941132
176333132
186623132
196895132
206967132
217003132
227944132
Stop Event
node limit
Counts
46 → 25
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
Outputs
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))

eval11.0ms (0.2%)

Compiler

Compiled 183 to 134 computations (26.8% saved)

prune17.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New18725
Fresh000
Picked011
Done000
Total18826
Error
0.0b
Counts
26 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
0.3b
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))
0.5b
(pow.f64 (*.f64 t 1/5000000000000000) 2)
0.7b
(*.f64 t (pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 2))
0.4b
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
0.6b
(*.f64 t (cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)))
0.6b
(cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))
1.8b
(*.f64 t (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3))
Compiler

Compiled 120 to 90 computations (25% saved)

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t)))
0.3b
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))
0.3b
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))
Compiler

Compiled 25 to 12 computations (52% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
t
@inf
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))
0.0ms
t
@-inf
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))
0.0ms
t
@0
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))
0.0ms
t
@0
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))
0.0ms
t
@inf
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))

rewrite57.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
608×pow1_binary64
568×add-log-exp_binary64
568×log1p-expm1-u_binary64
568×expm1-log1p-u_binary64
554×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0728
114418
2165818
Stop Event
node limit
Counts
3 → 49
Calls
Call 1
Inputs
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 t 1/25000000000000000000000000000000)) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) (*.f64 1/5000000000000000 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000) 1/2) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))))

simplify175.0ms (3.1%)

Algorithm
egg-herbie
Rules
2020×unswap-sqr_binary64
1080×sqr-pow_binary64
636×fabs-mul_binary64
612×pow-sqr_binary64
610×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012216
122216
237216
374216
4213216
5689216
6891216
71305216
81405216
91538216
101707216
111950216
122267216
132637216
143092216
153683216
164391216
175253216
185677216
195997216
206301216
216377216
226411216
Stop Event
node limit
Counts
85 → 57
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 -1/25000000000000000000000000000000 t)
Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) -1/25000000000000000000000000000000)
(*.f64 t (*.f64 t -1/25000000000000000000000000000000))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) -1/25000000000000000000000000000000)
(*.f64 t (*.f64 t -1/25000000000000000000000000000000))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) -1/25000000000000000000000000000000)
(*.f64 t (*.f64 t -1/25000000000000000000000000000000))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) -1/25000000000000000000000000000000)
(*.f64 t (*.f64 t -1/25000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 t -1/25000000000000000000000000000000)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 t -1/25000000000000000000000000000000)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 t -1/25000000000000000000000000000000)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 t -1/25000000000000000000000000000000)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
t
@0
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
0.0ms
t
@inf
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
0.0ms
t
@-inf
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))

rewrite68.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
429×pow1_binary64
417×add-sqr-sqrt_binary64
408×*-un-lft-identity_binary64
401×add-log-exp_binary64
401×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11037
211497
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t))) (cbrt.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 t 1/5000000000000000))))))))

simplify172.0ms (3%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
node limit
Counts
26 → 16
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 t 1/5000000000000000)
0.5b
(pow.f64 (*.f64 t 1/5000000000000000) 2)
Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@0
(pow.f64 (*.f64 t 1/5000000000000000) 2)
1.0ms
t
@-inf
(pow.f64 (*.f64 t 1/5000000000000000) 2)
1.0ms
t
@inf
(pow.f64 (*.f64 t 1/5000000000000000) 2)
0.0ms
t
@inf
(*.f64 t 1/5000000000000000)
0.0ms
t
@0
(*.f64 t 1/5000000000000000)

rewrite49.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
487×pow1_binary64
475×add-sqr-sqrt_binary64
464×*-un-lft-identity_binary64
453×add-log-exp_binary64
453×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
112711
2130911
Stop Event
node limit
Counts
2 → 35
Calls
Call 1
Inputs
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 t 1/5000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 1/5000000000000000 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/5000000000000000 (*.f64 t (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4)) (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) (cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) (*.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 (*.f64 t 1/5000000000000000))) (sqrt.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2)) (cbrt.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 t 1/5000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/5000000000000000)))))))

simplify172.0ms (3%)

Algorithm
egg-herbie
Rules
1101×sqr-pow_binary64
565×cube-prod_binary64
560×fabs-mul_binary64
528×pow-sqr_binary64
517×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08132
115132
226132
352132
4123132
5377132
61466132
72355132
82519132
92732132
102952132
113258132
123660132
134153132
144721132
155407132
166238132
176632132
186922132
197198132
207272132
217308132
Stop Event
node limit
Counts
59 → 38
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
0.4b
(*.f64 t 1/25000000000000000000000000000000)
0.6b
(cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))
0.7b
(pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3)
Compiler

Compiled 27 to 19 computations (29.6% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
t
@0
(cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))
2.0ms
t
@0
(pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3)
1.0ms
t
@inf
(cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))
1.0ms
t
@inf
(pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3)
0.0ms
t
@-inf
(pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3)

rewrite63.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
632×pow1_binary64
599×add-log-exp_binary64
599×log1p-expm1-u_binary64
599×expm1-log1p-u_binary64
584×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117317
2173517
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3)
(cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 t t) 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 (*.f64 t 1/25000000000000000000000000000000) (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/25000000000000000000000000000000) (*.f64 t (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 t t) 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (*.f64 t t) 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2) (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) (*.f64 1/25000000000000000000000000000000 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2) (*.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/5000000000000000) (*.f64 (*.f64 t 1/5000000000000000) (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t 3) (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3)) (pow.f64 t 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3/2) (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t t) 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2) 3) (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3) (pow.f64 (*.f64 t 1/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2) t) (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2) (*.f64 t 1/25000000000000000000000000000000)) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2) 1) (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2) (*.f64 t t)) 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2) (pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2)) (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2) (*.f64 t 1/5000000000000000)) (*.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 t t) 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 t t) 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 t t) 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 t t) 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/25000000000000000000000000000000) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) (pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) (pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2) (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) (*.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2) 1/3) (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (*.f64 (sqrt.f64 t) 1/5000000000000000)) (*.f64 (sqrt.f64 t) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/25000000000000000000000000000000) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/25000000000000000000000000000000) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 t t) 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))))

simplify134.0ms (2.4%)

Algorithm
egg-herbie
Rules
2362×associate-*l*_binary64
898×sqr-pow_binary64
477×pow-sqr_binary64
370×cube-prod_binary64
299×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010192
121192
243192
3122192
4536192
5870192
6991192
71164192
81344192
91573192
101864192
112231192
122616192
133094192
143675192
153901192
164079192
174221192
184317192
194391192
Stop Event
node limit
Counts
83 → 62
Calls
Call 1
Inputs
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
Outputs
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 t (cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)))
0.4b
(*.f64 t 1/25000000000000000000000000000000)
0.6b
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
0.7b
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)
Compiler

Compiled 26 to 20 computations (23.1% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
t
@-inf
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
1.0ms
t
@-inf
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)
1.0ms
t
@0
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)
1.0ms
t
@0
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
1.0ms
t
@-inf
(*.f64 t (cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)))

rewrite131.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
624×pow1_binary64
591×add-log-exp_binary64
591×log1p-expm1-u_binary64
591×expm1-log1p-u_binary64
577×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117318
2169418
Stop Event
node limit
Counts
3 → 62
Calls
Call 1
Inputs
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(*.f64 t (cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 1/25000000000000000000000000000000 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 (*.f64 t (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/25000000000000000000000000000000) (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000) (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) (*.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3/2) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 3) (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 3) (pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000) t) 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000) 1/25000000000000000000000000000000) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000) 1) (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000) (*.f64 (sqrt.f64 t) 1/5000000000000000)) (*.f64 (sqrt.f64 t) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 t 3)) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 t 1/25000000000000000000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (pow.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) (pow.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) (*.f64 (sqrt.f64 t) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000) 1/3) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/25000000000000000000000000000000 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))))

simplify168.0ms (3%)

Algorithm
egg-herbie
Rules
1042×fma-def_binary64
551×fma-neg_binary64
370×distribute-rgt-neg-in_binary64
362×distribute-lft-neg-in_binary64
329×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018280
143280
294280
3196280
4583280
5944280
61669280
72186280
82897280
94343280
105030280
115890280
127220280
Stop Event
node limit
Counts
98 → 70
Calls
Call 1
Inputs
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 -1 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 -1 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 -1 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 -1 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 -1 (*.f64 (pow.f64 t 2) (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 -1 (*.f64 (pow.f64 t 2) (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 -1 (*.f64 (pow.f64 t 2) (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 -1 (*.f64 (pow.f64 t 2) (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
Outputs
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f64 -1 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(neg.f64 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 t (neg.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (neg.f64 t))
(*.f64 -1 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(neg.f64 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 t (neg.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (neg.f64 t))
(*.f64 -1 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(neg.f64 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 t (neg.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (neg.f64 t))
(*.f64 -1 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(neg.f64 (*.f64 t (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 t (neg.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (neg.f64 t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 t (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f64 -1 (*.f64 (pow.f64 t 2) (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(neg.f64 (*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (neg.f64 t) t))
(*.f64 t (*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (neg.f64 t)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t (neg.f64 t)))
(*.f64 -1 (*.f64 (pow.f64 t 2) (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(neg.f64 (*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (neg.f64 t) t))
(*.f64 t (*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (neg.f64 t)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t (neg.f64 t)))
(*.f64 -1 (*.f64 (pow.f64 t 2) (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(neg.f64 (*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (neg.f64 t) t))
(*.f64 t (*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (neg.f64 t)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t (neg.f64 t)))
(*.f64 -1 (*.f64 (pow.f64 t 2) (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(neg.f64 (*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (neg.f64 t) t))
(*.f64 t (*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (neg.f64 t)))
(*.f64 (cbrt.f64 -1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t (neg.f64 t)))

eval77.0ms (1.4%)

Compiler

Compiled 2692 to 1936 computations (28.1% saved)

prune41.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2755280
Fresh202
Picked101
Done325
Total2817288
Error
0b
Counts
288 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
0.4b
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
0.4b
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
0.4b
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
0.2b
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
0.5b
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
0.4b
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
Compiler

Compiled 88 to 66 computations (25% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
0.3b
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series3.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@inf
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
1.0ms
t
@0
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))
1.0ms
t
@inf
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))
0.0ms
t
@-inf
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))
0.0ms
t
@0
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))

rewrite55.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
573×pow1_binary64
539×add-log-exp_binary64
539×log1p-expm1-u_binary64
539×expm1-log1p-u_binary64
526×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0716
114814
2155914
Stop Event
node limit
Counts
2 → 36
Calls
Call 1
Inputs
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 8) 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 t 8) 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/625000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) (cbrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/5000000000000000 t) (*.f64 1/5000000000000000 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 t 8) 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (sqrt.f64 (cbrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (*.f64 t t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 t 8) 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))))

simplify175.0ms (3.1%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
node limit
Counts
48 → 38
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 t 1/5000000000000000)
0.5b
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
Compiler

Compiled 13 to 9 computations (30.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
t
@0
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
0.0ms
t
@inf
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
0.0ms
t
@-inf
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))

rewrite93.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
454×pow1_binary64
441×add-sqr-sqrt_binary64
431×*-un-lft-identity_binary64
423×add-log-exp_binary64
423×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11057
212087
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 1/25000000000000000000000000000000 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t 1/5000000000000000)) 2))))))

simplify173.0ms (3.1%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
node limit
Counts
23 → 13
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 t 1/5000000000000000)
0.3b
(*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000)
0.3b
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
Compiler

Compiled 18 to 13 computations (27.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
t
@0
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
0.0ms
t
@inf
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
0.0ms
t
@-inf
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
0.0ms
t
@inf
(*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000)
0.0ms
t
@-inf
(*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000)

rewrite51.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
521×pow1_binary64
503×add-sqr-sqrt_binary64
482×add-log-exp_binary64
482×log1p-expm1-u_binary64
482×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
112311
2138211
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
(*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))))

simplify179.0ms (3.2%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
557×fabs-mul_binary64
523×pow-sqr_binary64
442×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07132
114132
223132
342132
4104132
5328132
61233132
72113132
82277132
92461132
102669132
112968132
123361132
133844132
144412132
155104132
165939132
176331132
186617132
196895132
206967132
217003132
227944132
Stop Event
node limit
Counts
46 → 25
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 t 1/5000000000000000)
0.2b
(*.f64 (*.f64 t 1/5000000000000000) t)
0.3b
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
Compiler

Compiled 18 to 12 computations (33.3% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
t
@inf
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
0.0ms
t
@0
(*.f64 (*.f64 t 1/5000000000000000) t)
0.0ms
t
@inf
(*.f64 (*.f64 t 1/5000000000000000) t)
0.0ms
t
@0
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
0.0ms
t
@-inf
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)

rewrite49.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
518×pow1_binary64
500×add-sqr-sqrt_binary64
479×add-log-exp_binary64
479×log1p-expm1-u_binary64
479×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
112214
2137014
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
(*.f64 (*.f64 t 1/5000000000000000) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/5000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/5000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/5000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 t 1/5000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/5000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/5000000000000000))))))))

simplify157.0ms (2.8%)

Algorithm
egg-herbie
Rules
2020×unswap-sqr_binary64
1080×sqr-pow_binary64
637×fabs-mul_binary64
612×pow-sqr_binary64
610×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
115168
230168
362168
4160168
5503168
6692168
71106168
81206168
91341168
101513168
111756168
122073168
132443168
142899168
153486168
164192168
175050168
185478168
195792168
206098168
216176168
226212168
Stop Event
node limit
Counts
46 → 26
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/25000000000000000000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/5000000000000000)
(*.f64 t (*.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (*.f64 t t))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
0.4b
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
1.0b
(cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
Compiler

Compiled 15 to 11 computations (26.7% saved)

series2.0ms (0%)

Counts
3 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
t
@-inf
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
0.0ms
t
@0
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
0.0ms
t
@inf
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
0.0ms
t
@0
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
0.0ms
t
@-inf
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))

rewrite121.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
515×pow1_binary64
496×add-sqr-sqrt_binary64
481×add-log-exp_binary64
481×log1p-expm1-u_binary64
481×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
112018
2133018
Stop Event
node limit
Counts
3 → 37
Calls
Call 1
Inputs
(cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (cbrt.f64 (cbrt.f64 1/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (cbrt.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/6) (pow.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 1/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cbrt.f64 1/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))))))))

simplify234.0ms (4.1%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
552×fabs-mul_binary64
523×pow-sqr_binary64
456×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07108
113108
224108
345108
4105108
5335108
61260108
72136108
82300108
92484108
102692108
112987108
123382108
133863108
144429108
155115108
165946108
176340108
186632108
196908108
206978108
217012108
227953108
Stop Event
node limit
Counts
49 → 39
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
Outputs
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 2))
(*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 t t))
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))

eval96.0ms (1.7%)

Compiler

Compiled 1689 to 1249 computations (26.1% saved)

prune54.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2001201
Fresh000
Picked011
Done156
Total2017208
Error
0b
Counts
208 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
0.4b
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
0.4b
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
0.2b
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
0.5b
(*.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
0.5b
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
0.4b
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
Compiler

Compiled 50 to 37 computations (26% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
0.3b
(*.f64 1/5000000000000000 (*.f64 t t))
Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@0
(*.f64 1/5000000000000000 (*.f64 t t))
0.0ms
t
@inf
(*.f64 1/5000000000000000 (*.f64 t t))
0.0ms
t
@0
(*.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
0.0ms
t
@inf
(*.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
0.0ms
t
@-inf
(*.f64 1/5000000000000000 (*.f64 t t))

rewrite67.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
527×pow1_binary64
511×add-sqr-sqrt_binary64
488×add-log-exp_binary64
488×log1p-expm1-u_binary64
488×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
112314
2139814
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/5000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/5000000000000000 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 1/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/25000000000000000000000000000000 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/5000000000000000) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/25000000000000000000000000000000 (pow.f64 t 4)) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))))

simplify230.0ms (4.1%)

Algorithm
egg-herbie
Rules
2020×unswap-sqr_binary64
1080×sqr-pow_binary64
637×fabs-mul_binary64
612×pow-sqr_binary64
610×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
115168
230168
362168
4160168
5503168
6692168
71106168
81206168
91341168
101513168
111756168
122073168
132443168
142899168
153486168
164192168
175050168
185478168
195792168
206098168
216176168
226212168
Stop Event
node limit
Counts
46 → 26
Calls
Call 1
Inputs
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
Outputs
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (*.f64 t t))
(*.f64 t (*.f64 1/5000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))

eval10.0ms (0.2%)

Compiler

Compiled 213 to 147 computations (31% saved)

prune20.0ms (0.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New26026
Fresh000
Picked011
Done066
Total26733
Error
0b
Counts
33 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
0.4b
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
0.4b
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
0.2b
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
0.5b
(*.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
0.5b
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
0.4b
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
Compiler

Compiled 50 to 37 computations (26% saved)

regimes81.0ms (1.4%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
(*.f64 t (pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 2))
(*.f64 t (cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)))
(cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))
(*.f64 t (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3))
Outputs
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
Calls

4 calls:

33.0ms
t
18.0ms
(*.f64 t 1/5000000000000000)
17.0ms
(*.f64 t 1/5000000000000000)
5.0ms
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
Results
ErrorSegmentsBranch
0.2b1t
0.2b1(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
0.2b1(*.f64 t 1/5000000000000000)
0.2b1(*.f64 t 1/5000000000000000)
Compiler

Compiled 145 to 107 computations (26.2% saved)

regimes50.0ms (0.9%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))
Outputs
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))
Calls

4 calls:

14.0ms
t
13.0ms
(*.f64 t 1/5000000000000000)
12.0ms
(*.f64 t 1/5000000000000000)
5.0ms
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
Results
ErrorSegmentsBranch
0.3b1t
0.3b1(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
0.3b1(*.f64 t 1/5000000000000000)
0.3b1(*.f64 t 1/5000000000000000)
Compiler

Compiled 107 to 78 computations (27.1% saved)

regimes47.0ms (0.8%)

Accuracy

Total -61.5b remaining (-15797.9%)

Threshold costs -61.5b (-15797.9%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 t (*.f64 t 1/25000000000000000000000000000000))
(*.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
(*.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 t (*.f64 (cbrt.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) t))
Outputs
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
Calls

4 calls:

13.0ms
(*.f64 t 1/5000000000000000)
12.0ms
t
12.0ms
(*.f64 t 1/5000000000000000)
5.0ms
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
Results
ErrorSegmentsBranch
0.4b1t
0.4b1(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000))))
0.4b1(*.f64 t 1/5000000000000000)
0.4b1(*.f64 t 1/5000000000000000)
Compiler

Compiled 99 to 74 computations (25.3% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
11728
Stop Event
done
saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
Outputs
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
(*.f64 t (sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))
(*.f64 1/25000000000000000000000000000000 (*.f64 t t))
(*.f64 (*.f64 t t) 1/25000000000000000000000000000000)
Compiler

Compiled 22 to 16 computations (27.3% saved)

soundness440.0ms (7.8%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
955×fma-def_binary64
617×cube-prod_binary64
567×unsub-neg_binary64
553×fabs-mul_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01226
13519
211517
335415
413067
536917
654187
769257
879027
07132
114132
223132
342132
4102132
5321132
61252132
72126132
82290132
92474132
102682132
112978132
123371132
133852132
144418132
155106132
165941132
176333132
186623132
196895132
206967132
217003132
227944132
Stop Event
node limit
node limit
Compiler

Compiled 399 to 330 computations (17.3% saved)

end24.0ms (0.4%)

Compiler

Compiled 20 to 13 computations (35% saved)

Profiling

Loading profile data...