Details

Time bar (total: 4.5s)

analyze390.0ms (8.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
7%0.3%92.6%13
7.1%0.2%92.7%14
Compiler

Compiled 23 to 16 computations (30.4% saved)

sample24.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
5.0ms257×pre128true
0.0msbody128invalid
Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify128.0ms (2.9%)

Algorithm
egg-herbie
Rules
724×associate-/r/_binary64
530×unsub-neg_binary64
520×distribute-rgt-in_binary64
518×div-sub_binary64
438×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
12016
23916
37216
420716
543016
671516
7112616
895516
9107716
10141716
11190916
12219516
13328816
14328816
15368116
16474016

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Compiler

Compiled 39 to 27 computations (30.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b
(*.f64 m (-.f64 1 m))
0.1b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)

rewrite188.0ms (4.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64
10×associate-*l*_binary64
associate-*r*_binary64 cancel-sign-sub-inv_binary64
Counts
4 → 96
Calls

4 calls:

12.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
8.0ms
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 1708 to 1122 computations (34.3% saved)

series123.0ms (2.7%)

Error
0.1b
Counts
4 → 45
Calls

4 calls:

40.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
33.0ms
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
23.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
10.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 1026 to 692 computations (32.6% saved)

simplify147.0ms (3.3%)

Algorithm
egg-herbie
Rules
413×div-sub_binary64
344×associate-*l/_binary64
336×distribute-rgt-in_binary64
316×distribute-lft-in_binary64
225×*-commutative_binary64
Counts
141 → 119
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01631933
13751809
211871757
336821752
449971752
549991752
649731752

prune86.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1109119
Fresh000
Picked101
Done000
Total1119120
Error
0.0b
Counts
120 → 9
Alt Table
StatusErrorProgram
18.5b
(-.f64 (/.f64 (*.f64 m m) v) m)
53.0b
(neg.f64 (/.f64 (pow.f64 m 3) v))
0.2b
(*.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
0.5b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
1.4b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
9.6b
(*.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1) (*.f64 m (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 m (*.f64 m m)) v)))))
34.4b
(*.f64 (sqrt.f64 (*.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))) (sqrt.f64 (*.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))))
0.4b
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
Compiler

Compiled 1411 to 670 computations (52.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
0.0b
(-.f64 m (*.f64 m m))
0.1b
(/.f64 (-.f64 m (*.f64 m m)) v)
0.2b
(*.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))

rewrite135.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×*-un-lft-identity_binary64
23×add-sqr-sqrt_binary64
16×add-cube-cbrt_binary64
15×times-frac_binary64
add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
Counts
4 → 88
Calls

4 calls:

11.0ms
(*.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
8.0ms
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
5.0ms
(/.f64 (-.f64 m (*.f64 m m)) v)
3.0ms
(-.f64 m (*.f64 m m))
Compiler

Compiled 1657 to 572 computations (65.5% saved)

series127.0ms (2.8%)

Error
0.0b
Counts
4 → 45
Calls

4 calls:

41.0ms
(*.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
31.0ms
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
25.0ms
(/.f64 (-.f64 m (*.f64 m m)) v)
10.0ms
(-.f64 m (*.f64 m m))
Compiler

Compiled 1025 to 690 computations (32.7% saved)

simplify103.0ms (2.3%)

Algorithm
egg-herbie
Rules
516×div-sub_binary64
498×distribute-rgt-in_binary64
464×distribute-lft-in_binary64
331×associate-*l/_binary64
252×associate-/l*_binary64
Counts
133 → 81
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01612036
13761914
211401875
341871875
454251875

prune59.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New79281
Fresh358
Picked011
Done000
Total82890
Error
0.0b
Counts
90 → 8
Alt Table
StatusErrorProgram
0.2b
(*.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
15.2b
(/.f64 (*.f64 m (-.f64 1 (*.f64 (/.f64 (-.f64 m (*.f64 m m)) v) (/.f64 (-.f64 m (*.f64 m m)) v)))) (-.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
0.5b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
8.4b
(+.f64 (neg.f64 m) (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)))
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
1.4b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
9.6b
(*.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1) (*.f64 m (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 m (*.f64 m m)) v)))))
0.4b
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
Compiler

Compiled 973 to 433 computations (55.5% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (-.f64 1 m) v)
0.0b
(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.2b
(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite393.0ms (8.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
57×add-sqr-sqrt_binary64
50×*-un-lft-identity_binary64
37×times-frac_binary64
29×add-cube-cbrt_binary64
25×associate-*r*_binary64
Counts
4 → 117
Calls

4 calls:

11.0ms
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
11.0ms
(*.f64 m (/.f64 (-.f64 1 m) v))
8.0ms
(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
6.0ms
(/.f64 (-.f64 1 m) v)
Compiler

Compiled 2138 to 1380 computations (35.5% saved)

series134.0ms (3%)

Error
0.0b
Counts
4 → 48
Calls

4 calls:

39.0ms
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
33.0ms
(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
25.0ms
(*.f64 m (/.f64 (-.f64 1 m) v))
17.0ms
(/.f64 (-.f64 1 m) v)
Compiler

Compiled 1168 to 783 computations (33% saved)

simplify118.0ms (2.6%)

Algorithm
egg-herbie
Rules
424×associate-*l/_binary64
382×div-sub_binary64
366×distribute-rgt-in_binary64
350×distribute-lft-in_binary64
349×associate-*r/_binary64
Counts
165 → 116
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01782346
14042220
212522176
343562164
455832164

prune96.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh066
Picked011
Done011
Total1159124
Error
0.0b
Counts
124 → 9
Alt Table
StatusErrorProgram
3.1b
(*.f64 (-.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m))) (sqrt.f64 m)) (sqrt.f64 m))
0.2b
(*.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
15.2b
(/.f64 (*.f64 m (-.f64 1 (*.f64 (/.f64 (-.f64 m (*.f64 m m)) v) (/.f64 (-.f64 m (*.f64 m m)) v)))) (-.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
0.5b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
8.4b
(+.f64 (neg.f64 m) (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)))
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
1.4b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
9.6b
(*.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1) (*.f64 m (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 m (*.f64 m m)) v)))))
0.4b
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
Compiler

Compiled 1483 to 833 computations (43.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
0.2b
(/.f64 m (sqrt.f64 v))
0.3b
(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))

rewrite236.0ms (5.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
56×add-sqr-sqrt_binary64
45×*-un-lft-identity_binary64
44×times-frac_binary64
39×add-cube-cbrt_binary64
28×sqrt-prod_binary64
Counts
4 → 146
Calls

4 calls:

16.0ms
(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
16.0ms
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
11.0ms
(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))
4.0ms
(/.f64 m (sqrt.f64 v))
Compiler

Compiled 3133 to 1477 computations (52.9% saved)

series131.0ms (2.9%)

Error
0.0b
Counts
4 → 38
Calls

4 calls:

42.0ms
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
30.0ms
(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
24.0ms
(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))
21.0ms
(/.f64 m (sqrt.f64 v))
Compiler

Compiled 1291 to 913 computations (29.3% saved)

simplify132.0ms (2.9%)

Algorithm
egg-herbie
Rules
465×associate-/r*_binary64
443×associate-/r/_binary64
427×distribute-rgt-in_binary64
408×distribute-lft-in_binary64
296×div-sub_binary64
Counts
184 → 127
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02233157
15162673
219282627
345912625
453352625

prune110.0ms (2.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1261127
Fresh156
Picked011
Done022
Total1279136
Error
0.0b
Counts
136 → 9
Alt Table
StatusErrorProgram
3.1b
(*.f64 (-.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m))) (sqrt.f64 m)) (sqrt.f64 m))
0.4b
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 m) (sqrt.f64 (sqrt.f64 v))) (/.f64 m (sqrt.f64 v))) (sqrt.f64 (sqrt.f64 v))) 1) m)
0.2b
(*.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
15.2b
(/.f64 (*.f64 m (-.f64 1 (*.f64 (/.f64 (-.f64 m (*.f64 m m)) v) (/.f64 (-.f64 m (*.f64 m m)) v)))) (-.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
0.5b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
8.4b
(+.f64 (neg.f64 m) (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)))
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
9.6b
(*.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1) (*.f64 m (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 m (*.f64 m m)) v)))))
0.4b
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
Compiler

Compiled 1682 to 817 computations (51.4% saved)

regimes697.0ms (15.5%)

Accuracy

Total 0.2b remaining (93.7%)

Threshold costs 0.2b (93.7%)

Compiler

Compiled 9521 to 6264 computations (34.2% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 *-commutative_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64
1-exp_binary64 *-lft-identity_binary64 cancel-sign-sub-inv_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
12016
22716
33116
43316
53216

end1.0ms (0%)

Compiler

Compiled 13 to 7 computations (46.2% saved)

sample903.0ms (20%)

Algorithm
intervals
Results
274.0ms8000×body128valid
160.0ms8056×pre128true
2.0ms56×body128invalid
Compiler

Compiled 209 to 126 computations (39.7% saved)

Profiling

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