Details

Time bar (total: 13.0s)

analyze2.6s (19.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
9.4%90.5%0.1%7
14%85.8%0.1%8
16.4%83.5%0.1%9
24.6%75.3%0.1%10
28.7%71.2%0.1%11
30.7%69.1%0.1%12
35.8%64%0.1%13
38.4%61.5%0.1%14
Compiler

Compiled 32 to 18 computations (43.8% saved)

sample5.4s (41.9%)

Results
2.9s2043×body1024valid
1.4s4728×body128valid
830.0ms975×body512valid
273.0ms505×body256valid
17.0msbody2048valid
Compiler

Compiled 95 to 53 computations (44.2% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×fma-def_binary64
11×*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01844
13044
25044
35644
45644

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 118 to 51 computations (56.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 ew (sin.f64 t))
0.1b
(*.f64 eh (cos.f64 t))
3.1b
(/.f64 (/.f64 eh ew) (tan.f64 t))
35.5b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series114.0ms (0.9%)

Counts
4 → 120
Calls

4 calls:

83.0ms
(/.f64 (/.f64 eh ew) (tan.f64 t))
17.0ms
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
7.0ms
(*.f64 eh (cos.f64 t))
7.0ms
(*.f64 ew (sin.f64 t))

rewrite20.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
54×add-sqr-sqrt_binary64
50×*-un-lft-identity_binary64
50×add-cube-cbrt_binary64
13×associate-/l*_binary64
Counts
4 → 123
Calls

4 calls:

5.0ms
(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0ms
(*.f64 ew (sin.f64 t))
3.0ms
(*.f64 eh (cos.f64 t))
2.0ms
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify158.0ms (1.2%)

Algorithm
egg-herbie
Rules
627×fma-neg_binary64
478×associate-/r*_binary64
383×*-commutative_binary64
297×associate-*l/_binary64
269×fma-def_binary64
Counts
243 → 184
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02793500
16323355
219483333
340303333
447943333
549853329
649743329

prune237.0ms (1.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New27813291
Fresh000
Picked101
Done000
Total27913292
Error
0.0b
Counts
292 → 13
Alt Table
StatusErrorProgram
0.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 ew (*.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
34.4b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (exp.f64 (log.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.6b
(fabs.f64 (fma.f64 (*.f64 (sqrt.f64 ew) (*.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.7b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (sqrt.f64 eh) (*.f64 (sqrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
1.0b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 eh) (cbrt.f64 eh)) (*.f64 (cbrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
1.0b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 eh (cos.f64 t))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
31.9b
(fabs.f64 (fma.f64 (*.f64 (*.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.1b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.7b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 eh (cos.f64 t))) (sqrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 eh eh) eh) (*.f64 (*.f64 (cos.f64 t) (cos.f64 t)) (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 11297 to 2464 computations (78.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 eh (cos.f64 t))
2.2b
(log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
3.1b
(/.f64 (/.f64 eh ew) (tan.f64 t))
35.5b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series19.0ms (0.1%)

Counts
1 → 36
Calls

1 calls:

19.0ms
(log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))

rewrite3.0ms (0%)

Algorithm
rewrite-expression-head
Rules
log-pow_binary64
log-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
exp-prod_binary64
Counts
1 → 17
Calls

1 calls:

2.0ms
(log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))

simplify77.0ms (0.6%)

Algorithm
egg-herbie
Rules
850×log-prod_binary64
664×unswap-sqr_binary64
367×associate-/l/_binary64
360×fma-def_binary64
210×associate-*l*_binary64
Counts
53 → 31
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042818
145775
254775
365775
495775
5173775
6366775
71012775
84228775
95141775

prune468.0ms (3.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New2930293
Fresh01212
Picked011
Done000
Total29313306
Error
0.0b
Counts
306 → 13
Alt Table
StatusErrorProgram
0.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 ew (*.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
34.4b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (exp.f64 (log.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.6b
(fabs.f64 (fma.f64 (*.f64 (sqrt.f64 ew) (*.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.7b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (sqrt.f64 eh) (*.f64 (sqrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
1.0b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 eh) (cbrt.f64 eh)) (*.f64 (cbrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
1.0b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 eh (cos.f64 t))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
31.9b
(fabs.f64 (fma.f64 (*.f64 (*.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.1b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.7b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 eh (cos.f64 t))) (sqrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 eh eh) eh) (*.f64 (*.f64 (cos.f64 t) (cos.f64 t)) (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 11952 to 2636 computations (77.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t))))
3.1b
(/.f64 (/.f64 eh ew) (tan.f64 t))
9.1b
(cbrt.f64 (*.f64 ew (sin.f64 t)))
35.5b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series888.0ms (6.8%)

Counts
2 → 48
Calls

2 calls:

551.0ms
(*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t))))
336.0ms
(cbrt.f64 (*.f64 ew (sin.f64 t)))

rewrite8.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64
add-sqr-sqrt_binary64
pow1/3_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
2 → 44
Calls

2 calls:

4.0ms
(*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t))))
2.0ms
(cbrt.f64 (*.f64 ew (sin.f64 t)))

simplify88.0ms (0.7%)

Algorithm
egg-herbie
Rules
910×fma-neg_binary64
528×associate-*l*_binary64
433×associate-*r*_binary64
353×distribute-rgt-neg-in_binary64
336×distribute-lft-neg-in_binary64
Counts
92 → 85
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01291938
13101743
28221382
327951116
447881116
550071116

prune487.0ms (3.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New3673370
Fresh11011
Picked101
Done011
Total36914383
Error
0.0b
Counts
383 → 14
Alt Table
StatusErrorProgram
1.0b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 eh (cos.f64 t))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.9b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (sin.f64 t)))) 5) (cbrt.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.6b
(fabs.f64 (fma.f64 (*.f64 (sqrt.f64 ew) (*.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.7b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (sqrt.f64 eh) (*.f64 (sqrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
1.0b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 eh) (cbrt.f64 eh)) (*.f64 (cbrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
30.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 ew (sin.f64 t)))) (sqrt.f64 (cbrt.f64 (*.f64 ew (sin.f64 t)))))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.7b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 eh (cos.f64 t))) (sqrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (*.f64 (cbrt.f64 ew) (cbrt.f64 (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
31.9b
(fabs.f64 (fma.f64 (*.f64 (*.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
34.4b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (exp.f64 (log.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.1b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 eh eh) eh) (*.f64 (*.f64 (cos.f64 t) (cos.f64 t)) (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 19014 to 3368 computations (82.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (sin.f64 t))
3.1b
(/.f64 (/.f64 eh ew) (tan.f64 t))
9.1b
(cbrt.f64 (*.f64 ew (sin.f64 t)))
35.5b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series127.0ms (1%)

Counts
1 → 12
Calls

1 calls:

127.0ms
(cbrt.f64 (sin.f64 t))

rewrite2.0ms (0%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
1 → 13
Calls

1 calls:

1.0ms
(cbrt.f64 (sin.f64 t))

simplify78.0ms (0.6%)

Algorithm
egg-herbie
Rules
777×fma-neg_binary64
532×cancel-sign-sub-inv_binary64
467×log-prod_binary64
268×sub-neg_binary64
261×unswap-sqr_binary64
Counts
25 → 24
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042221
197221
2215219
3527214
41576208
54017208
64452208
74998208
84894208

prune414.0ms (3.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New3081309
Fresh01212
Picked101
Done011
Total30914323
Error
0.0b
Counts
323 → 14
Alt Table
StatusErrorProgram
1.0b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 eh (cos.f64 t))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.9b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (sin.f64 t)))) 5) (cbrt.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.6b
(fabs.f64 (fma.f64 (*.f64 (sqrt.f64 ew) (*.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.7b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (sqrt.f64 eh) (*.f64 (sqrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
1.0b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 eh) (cbrt.f64 eh)) (*.f64 (cbrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
30.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 ew (sin.f64 t)))) (sqrt.f64 (cbrt.f64 (*.f64 ew (sin.f64 t)))))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.5b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (*.f64 (cbrt.f64 ew) (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 t)))))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
32.7b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 eh (cos.f64 t))) (sqrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
31.9b
(fabs.f64 (fma.f64 (*.f64 (*.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
34.4b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (exp.f64 (log.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.1b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 eh eh) eh) (*.f64 (*.f64 (cos.f64 t) (cos.f64 t)) (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 15948 to 2587 computations (83.8% saved)

regimes956.0ms (7.4%)

Accuracy

Total 0.1b remaining (57.5%)

Threshold costs 0.1b (57.5%)

Counts
127 → 1
Compiler

Compiled 27476 to 14154 computations (48.5% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
12248
22248

end699.0ms (5.4%)

Compiler

Compiled 603 to 308 computations (48.9% saved)

Profiling

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