Details

Time bar (total: 10.6s)

analyze1.2s (11.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
3%46.9%50%13
3.1%46.8%50%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample3.9s (36.8%)

Results
2.4s4158×body2048valid
913.0ms2064×body1024valid
339.0ms1008×body512valid
108.0ms479×body256valid
65.0ms547×body128valid
1.0msbody128invalid
Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify71.0ms (0.7%)

Algorithm
egg-herbie
Rules
686×div-sub_binary64
546×sub-neg_binary64
397×neg-mul-1_binary64
344×neg-sub0_binary64
311×associate-/r*_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01019
13119
27217
320317
453217
5134017
6271017
7374817
8464317
9498117

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.7b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.7b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
Compiler

Compiled 53 to 36 computations (32.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
0.7b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series5.0ms (0%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
2.0ms
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

rewrite4.0ms (0%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
times-frac_binary64
add-cbrt-cube_binary64
Counts
2 → 39
Calls

2 calls:

2.0ms
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
0.0ms
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

simplify69.0ms (0.7%)

Algorithm
egg-herbie
Rules
667×times-frac_binary64
628×fma-def_binary64
405×fma-neg_binary64
337×associate-/l*_binary64
292×associate-/r*_binary64
Counts
63 → 60
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01031379
12091264
25491261
314341259
445021259
550391259

prune55.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New56460
Fresh000
Picked101
Done000
Total57461
Error
0.7b
Counts
61 → 4
Alt Table
StatusErrorProgram
2.2b
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.7b
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.7b
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.8b
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
Compiler

Compiled 1325 to 958 computations (27.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
0.0b
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
0.0b
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.7b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series326.0ms (3.1%)

Counts
2 → 24
Calls

2 calls:

324.0ms
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
2.0ms
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

rewrite4.0ms (0%)

Algorithm
rewrite-expression-head
Rules
log-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
exp-prod_binary64
Counts
2 → 31
Calls

2 calls:

1.0ms
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
1.0ms
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

simplify110.0ms (1%)

Algorithm
egg-herbie
Rules
620×unswap-sqr_binary64
480×fma-neg_binary64
451×fma-def_binary64
352×associate-/l*_binary64
293×associate-/r*_binary64
Counts
55 → 43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0491240
1531120
2731120
31001112
41571112
52561112
64811112
711501112
824691112
943091112
1049961112
1147791112

prune99.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New985103
Fresh213
Picked011
Done000
Total1007107
Error
0.7b
Counts
107 → 7
Alt Table
StatusErrorProgram
1.6b
(exp.f64 (log.f64 (*.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
3.1b
(exp.f64 (*.f64 (*.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.6b
(exp.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.2b
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.7b
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.7b
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.8b
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
Compiler

Compiled 2690 to 1995 computations (25.8% saved)

localize65.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
0.0b
(exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.0b
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.7b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series1.4s (13.7%)

Counts
2 → 24
Calls

2 calls:

1.1s
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
333.0ms
(exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

rewrite8.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
14×exp-prod_binary64
12×sqrt-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
2 → 47
Calls

2 calls:

3.0ms
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
2.0ms
(exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

simplify167.0ms (1.6%)

Algorithm
egg-herbie
Rules
430×exp-prod_binary64
327×associate-*l*_binary64
313×sqr-pow_binary64
313×fma-def_binary64
304×*-commutative_binary64
Counts
71 → 56
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0682355
11072262
22362262
35072262
415312262
534992262
645262262
749182262
849672262
947602262

prune143.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1142116
Fresh145
Picked101
Done101
Total1176123
Error
0.7b
Counts
123 → 6
Alt Table
StatusErrorProgram
0.7b
(pow.f64 (*.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.8b
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
1.6b
(exp.f64 (log.f64 (*.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
3.1b
(exp.f64 (*.f64 (*.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.2b
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
3.3b
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
Compiler

Compiled 5218 to 3883 computations (25.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.0b
(pow.f64 (*.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.0b
(*.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))
0.7b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series1.4s (13.6%)

Counts
2 → 24
Calls

2 calls:

1.1s
(pow.f64 (*.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
366.0ms
(*.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))

rewrite77.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
164×sqrt-pow1_binary64
148×exp-prod_binary64
114×sqrt-prod_binary64
76×add-sqr-sqrt_binary64
62×pow1_binary64
Counts
2 → 163
Calls

2 calls:

13.0ms
(*.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))
13.0ms
(pow.f64 (*.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

simplify232.0ms (2.2%)

Algorithm
egg-herbie
Rules
490×exp-prod_binary64
336×distribute-rgt-in_binary64
307×distribute-lft-in_binary64
285×log-prod_binary64
265×prod-exp_binary64
Counts
187 → 161
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01236636
12045550
25075214
311125042
432305030
540625020
645705016
750205016

prune361.0ms (3.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2362238
Fresh145
Picked101
Done000
Total2386244
Error
0.7b
Counts
244 → 6
Alt Table
StatusErrorProgram
1.6b
(exp.f64 (log.f64 (*.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
3.1b
(exp.f64 (*.f64 (*.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.2b
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
2.9b
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 5/2) (sqrt.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
3.7b
(pow.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.8b
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
Compiler

Compiled 13341 to 10119 computations (24.2% saved)

regimes503.0ms (4.8%)

Accuracy

Total 0.0b remaining (3%)

Threshold costs 0.0b (3%)

Counts
79 → 1
Compiler

Compiled 12589 to 9619 computations (23.6% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11317
21217

end254.0ms (2.4%)

Compiler

Compiled 332 to 249 computations (25% saved)

Profiling

Loading profile data...