Details

Time bar (total: 6.4s)

analyze1.2s (18.4%)

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)

sample83.0ms (1.3%)

Algorithm
intervals
Results
44.0ms118×body2048valid
19.0ms49×body1024valid
9.0ms51×body512valid
2.0ms18×body256valid
1.0ms20×body128valid
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify69.0ms (1.1%)

Algorithm
egg-herbie
Rules
694×div-sub_binary64
602×neg-mul-1_binary64
550×sub-neg_binary64
311×associate-/r*_binary64
286×distribute-neg-frac_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
13021
27121
319521
450421
5125421
6243721
7331121
8463821
9495521

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.7b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.7b
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
Compiler

Compiled 30 to 20 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b
(*.f64 5 (*.f64 v v))
0.7b
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite76.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.7b
Rules
20×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64
18×times-frac_binary64
15×add-cube-cbrt_binary64
10×add-cbrt-cube_binary64
Counts
3 → 71
Calls

3 calls:

8.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
4.0ms
(*.f64 5 (*.f64 v v))
1.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
Compiler

Compiled 1582 to 991 computations (37.4% saved)

series28.0ms (0.4%)

Error
0.7b
Counts
3 → 12
Calls

3 calls:

12.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
7.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
5.0ms
(*.f64 5 (*.f64 v v))
Compiler

Compiled 333 to 284 computations (14.7% saved)

simplify116.0ms (1.8%)

Algorithm
egg-herbie
Rules
442×associate-*l*_binary64
391×div-sub_binary64
376×times-frac_binary64
367×associate-*r*_binary64
235×associate-/l*_binary64
Counts
83 → 42
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01411943
13021799
29731785
338841785
449891785
549261785

prune26.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New38442
Fresh000
Picked101
Done000
Total39443
Error
0.7b
Counts
43 → 4
Alt Table
StatusErrorProgram
0.7b
(acos.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -1 (pow.f64 v 6))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 1 1) (*.f64 (*.f64 v v) 1)))))
0.7b
(acos.f64 (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 (*.f64 5 (*.f64 v v)) 3)) (*.f64 (-.f64 (*.f64 v v) 1) (+.f64 1 (+.f64 (*.f64 5 (*.f64 v v)) (*.f64 (pow.f64 v 4) 25))))))
1.0b
(acos.f64 (+.f64 -1 (*.f64 (*.f64 v v) 4)))
1.6b
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
Compiler

Compiled 676 to 456 computations (32.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -1 (pow.f64 v 6))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 1 1) (*.f64 (*.f64 v v) 1))))
0.2b
(*.f64 (*.f64 v v) (*.f64 v v))
0.2b
(*.f64 5 (*.f64 v v))
0.7b
(acos.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -1 (pow.f64 v 6))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 1 1) (*.f64 (*.f64 v v) 1)))))

rewrite178.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0.7b
Rules
122×pow1_binary64
36×pow-prod-up_binary64
27×pow-prod-down_binary64
26×add-cbrt-cube_binary64
26×add-exp-log_binary64
Counts
4 → 133
Calls

4 calls:

22.0ms
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -1 (pow.f64 v 6))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 1 1) (*.f64 (*.f64 v v) 1))))
7.0ms
(*.f64 (*.f64 v v) (*.f64 v v))
4.0ms
(*.f64 5 (*.f64 v v))
1.0ms
(acos.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -1 (pow.f64 v 6))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 1 1) (*.f64 (*.f64 v v) 1)))))
Compiler

Compiled 4369 to 2577 computations (41% saved)

series42.0ms (0.7%)

Error
0.7b
Counts
4 → 15
Calls

4 calls:

11.0ms
(acos.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -1 (pow.f64 v 6))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 1 1) (*.f64 (*.f64 v v) 1)))))
9.0ms
(*.f64 (*.f64 v v) (*.f64 v v))
8.0ms
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -1 (pow.f64 v 6))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 1 1) (*.f64 (*.f64 v v) 1))))
7.0ms
(*.f64 5 (*.f64 v v))
Compiler

Compiled 731 to 569 computations (22.2% saved)

simplify156.0ms (2.4%)

Algorithm
egg-herbie
Rules
375×associate-*l/_binary64
311×associate-/l*_binary64
308×associate-*r/_binary64
277×associate-*l*_binary64
247×associate-*r*_binary64
Counts
148 → 114
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01872893
15782569
221662560
348152560
449962560
549452560

prune76.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1113114
Fresh213
Picked101
Done000
Total1144118
Error
0.7b
Counts
118 → 4
Alt Table
StatusErrorProgram
0.7b
(exp.f64 (log.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))))
2.2b
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))) (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1))))) (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))))
0.7b
(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1))))
1.0b
(acos.f64 (+.f64 -1 (*.f64 (*.f64 v v) 4)))
Compiler

Compiled 2414 to 1648 computations (31.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
0.0b
(exp.f64 (log.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))))
0.2b
(*.f64 5 (*.f64 v v))
0.7b
(acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))

rewrite114.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.7b
Rules
12×add-sqr-sqrt_binary64
12×pow1_binary64
11×*-un-lft-identity_binary64
11×add-cbrt-cube_binary64
11×add-exp-log_binary64
Counts
4 → 71
Calls

4 calls:

9.0ms
(*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
4.0ms
(*.f64 5 (*.f64 v v))
1.0ms
(exp.f64 (log.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))))
1.0ms
(acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))
Compiler

Compiled 2734 to 1890 computations (30.9% saved)

series70.0ms (1.1%)

Error
0.7b
Counts
4 → 15
Calls

4 calls:

35.0ms
(exp.f64 (log.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))))
10.0ms
(acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))
10.0ms
(*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
7.0ms
(*.f64 5 (*.f64 v v))
Compiler

Compiled 809 to 686 computations (15.2% saved)

simplify90.0ms (1.4%)

Algorithm
egg-herbie
Rules
397×associate-+l+_binary64
331×*-commutative_binary64
325×distribute-rgt-neg-in_binary64
310×times-frac_binary64
233×unsub-neg_binary64
Counts
86 → 66
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01672726
14032361
214272352
330852340
449152340

prune158.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New63366
Fresh123
Picked101
Done000
Total65570
Error
0.7b
Counts
70 → 5
Alt Table
StatusErrorProgram
0.7b
(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1))))
3.3b
(pow.f64 (exp.f64 (*.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1))))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1))))))
2.2b
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1)))))
1.0b
(acos.f64 (+.f64 -1 (*.f64 (*.f64 v v) 4)))
1.6b
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1)))))))
Compiler

Compiled 2237 to 1592 computations (28.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
0.0b
(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1))))
0.2b
(*.f64 5 (*.f64 v v))
0.7b
(asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))

rewrite105.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.6b
Rules
16×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64
11×add-cbrt-cube_binary64
11×add-exp-log_binary64
11×pow1_binary64
Counts
4 → 74
Calls

4 calls:

11.0ms
(*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
5.0ms
(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1))))
4.0ms
(*.f64 5 (*.f64 v v))
1.0ms
(asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))
Compiler

Compiled 3123 to 2134 computations (31.7% saved)

series55.0ms (0.9%)

Error
0.7b
Counts
4 → 15
Calls

4 calls:

15.0ms
(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1))))
11.0ms
(asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))) (-.f64 (pow.f64 v 6) 1)))
9.0ms
(*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
7.0ms
(*.f64 5 (*.f64 v v))
Compiler

Compiled 933 to 793 computations (15% saved)

simplify129.0ms (2%)

Algorithm
egg-herbie
Rules
404×associate-+l+_binary64
349×*-commutative_binary64
311×times-frac_binary64
238×unsub-neg_binary64
219×sub-neg_binary64
Counts
89 → 70
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01803093
14792886
215882871
333762838
449262838
548862838

prune67.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New67370
Fresh224
Picked101
Done000
Total70575
Error
0.6b
Counts
75 → 5
Alt Table
StatusErrorProgram
1.6b
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1)))))))
62.0b
(/.f64 (-.f64 (/.f64 (*.f64 PI.f64 PI.f64) 4) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1)))) 6)) (+.f64 (asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1))) (/.f64 PI.f64 2)))
1.6b
(*.f64 (sqrt.f64 (-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1))))) (sqrt.f64 (-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1))))))
2.2b
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 v v)))) (-.f64 (pow.f64 v 6) 1)))))
1.0b
(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 4)) (-.f64 (pow.f64 v 6) 1))))
Compiler

Compiled 2390 to 1677 computations (29.8% saved)

regimes628.0ms (9.9%)

Accuracy

Total 0.0b remaining (2.9%)

Threshold costs 0.0b (2.9%)

Compiler

Compiled 19467 to 14188 computations (27.1% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
12025
22425
32625
42725
52525

end1.0ms (0%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample2.9s (45%)

Algorithm
intervals
Results
1.6s3940×body2048valid
559.0ms2082×body1024valid
181.0ms1020×body512valid
82.0ms479×body256valid
30.0ms478×body128valid
1.0msbody4096valid
0.0msbody128nan
Compiler

Compiled 286 to 210 computations (26.6% saved)

Profiling

Loading profile data...