Details

Time bar (total: 2.9s)

analyze92.0ms (3.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 24 to 17 computations (29.2% saved)

sample21.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×pre128true
5.0ms256×body128valid
Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify49.0ms (1.7%)

Algorithm
egg-herbie
Rules
243×div-sub_binary64
166×associate-/l/_binary64
143×times-frac_binary64
130×associate-/l*_binary64
86×sub-neg_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22010
33110
44210
56610
611010
718410
830810
946210
1053310
1159910
1256810
1356410
1456810
1557210
1657410
1749810

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
8.5b
Counts
1 → 1
Alt Table
StatusErrorProgram
8.5b
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b
(/.f64 x0 (-.f64 1 x1))
7.7b
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite55.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
7.5b
Rules
31×add-sqr-sqrt_binary64
28×*-un-lft-identity_binary64
19×times-frac_binary64
14×add-cube-cbrt_binary64
10×difference-of-squares_binary64
Counts
2 → 58
Calls

2 calls:

13.0ms
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 808 to 492 computations (39.1% saved)

series40.0ms (1.4%)

Error
4.1b
Counts
2 → 18
Calls

2 calls:

16.0ms
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
16.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 431 to 279 computations (35.3% saved)

simplify109.0ms (3.7%)

Algorithm
egg-herbie
Rules
424×distribute-rgt-in_binary64
359×distribute-rgt-out_binary64
270×distribute-lft-out_binary64
196×associate-*l*_binary64
189×associate-*r*_binary64
Counts
76 → 41
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01251055
12701020
2635999
32180990
44749990
54995990
64956990

prune19.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New39241
Fresh000
Picked101
Done000
Total40242
Error
4.1b
Counts
42 → 2
Alt Table
StatusErrorProgram
16.1b
(*.f64 (+.f64 x1 (*.f64 x1 x1)) (+.f64 x0 (*.f64 x1 (*.f64 x1 x0))))
7.6b
(*.f64 1 (*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0))
Compiler

Compiled 408 to 230 computations (43.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
7.4b
(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

rewrite70.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
3.6b
Rules
37×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64
14×associate-*l*_binary64
12×times-frac_binary64 difference-of-squares_binary64
difference-of-sqr-1_binary64
Counts
2 → 56
Calls

2 calls:

17.0ms
(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
14.0ms
(-.f64 (/.f64 1 (-.f64 1 x1)) 1)
Compiler

Compiled 932 to 790 computations (15.2% saved)

series31.0ms (1.1%)

Error
4.1b
Counts
2 → 15
Calls

2 calls:

19.0ms
(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
6.0ms
(-.f64 (/.f64 1 (-.f64 1 x1)) 1)
Compiler

Compiled 384 to 284 computations (26% saved)

simplify115.0ms (4%)

Algorithm
egg-herbie
Rules
619×distribute-rgt-in_binary64
577×distribute-lft-in_binary64
512×div-sub_binary64
319×times-frac_binary64
261×associate-+l+_binary64
Counts
71 → 63
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0901123
11961042
2488952
31085945
42274944
53904944
64950944
74903944

prune32.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New62163
Fresh011
Picked101
Done000
Total63265
Error
3.3b
Counts
65 → 2
Alt Table
StatusErrorProgram
16.1b
(*.f64 (+.f64 x1 (*.f64 x1 x1)) (+.f64 x0 (*.f64 x1 (*.f64 x1 x0))))
6.6b
(*.f64 1 (*.f64 (*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (cbrt.f64 x0)))
Compiler

Compiled 730 to 557 computations (23.7% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
6.2b
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite108.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
3.0b
Rules
47×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
18×cancel-sign-sub-inv_binary64
15×*-un-lft-identity_binary64
12×difference-of-squares_binary64
Counts
2 → 69
Calls

2 calls:

32.0ms
(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
23.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 1828 to 857 computations (53.1% saved)

series130.0ms (4.5%)

Error
3.2b
Counts
2 → 18
Calls

2 calls:

67.0ms
(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
48.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 1093 to 829 computations (24.2% saved)

simplify148.0ms (5.1%)

Algorithm
egg-herbie
Rules
407×*-commutative_binary64
390×unswap-sqr_binary64
254×div-sub_binary64
232×unsub-neg_binary64
211×log-prod_binary64
Counts
87 → 74
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01541997
13741760
213251698
329991662
445271584
548741584
648631584

prune38.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh101
Picked101
Done000
Total74276
Error
3.0b
Counts
76 → 2
Alt Table
StatusErrorProgram
6.3b
(*.f64 1 (*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)) (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6))) (cbrt.f64 x0)))
16.1b
(*.f64 1 (*.f64 (*.f64 (cbrt.f64 x0) (*.f64 (cbrt.f64 x0) (+.f64 x1 (+.f64 (pow.f64 x1 3) (+.f64 (*.f64 x1 x1) (pow.f64 x1 4)))))) (cbrt.f64 x0)))
Compiler

Compiled 1176 to 704 computations (40.1% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6))
1.0b
(*.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)) (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)))
6.2b
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
6.2b
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite295.0ms (10.1%)

Algorithm
rewrite-expression-head
Error
2.5b
Rules
70×add-sqr-sqrt_binary64
57×add-exp-log_binary64
43×prod-exp_binary64
21×cbrt-prod_binary64
18×add-cbrt-cube_binary64 *-un-lft-identity_binary64 difference-of-squares_binary64
Counts
4 → 132
Calls

4 calls:

63.0ms
(*.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)) (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)))
29.0ms
(*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6))
27.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
24.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 5580 to 3249 computations (41.8% saved)

series274.0ms (9.4%)

Error
3.0b
Counts
4 → 33
Calls

4 calls:

70.0ms
(*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6))
65.0ms
(*.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)) (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)))
53.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
52.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 3040 to 2227 computations (26.7% saved)

simplify194.0ms (6.7%)

Algorithm
egg-herbie
Rules
512×*-commutative_binary64
470×unswap-sqr_binary64
239×log-prod_binary64
221×associate-*l*_binary64
201×associate-*r*_binary64
Counts
165 → 138
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02314521
15043877
214373639
333453605
448293605
549443605

prune97.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh011
Picked011
Done000
Total1382140
Error
3.0b
Counts
140 → 2
Alt Table
StatusErrorProgram
6.3b
(*.f64 1 (*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)) (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6))) (cbrt.f64 x0)))
16.1b
(*.f64 1 (*.f64 (*.f64 (cbrt.f64 x0) (*.f64 (cbrt.f64 x0) (+.f64 x1 (+.f64 (pow.f64 x1 3) (+.f64 (*.f64 x1 x1) (pow.f64 x1 4)))))) (cbrt.f64 x0)))
Compiler

Compiled 3583 to 2232 computations (37.7% saved)

regimes176.0ms (6%)

Accuracy

Total -0.5b remaining (-20.9%)

Threshold costs -0.5b (-20.9%)

Compiler

Compiled 3972 to 2729 computations (31.3% saved)

bsearch1.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Rules
10×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64 *-lft-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034100
151100
258100
362100
464100
563100

end2.0ms (0.1%)

Compiler

Compiled 66 to 45 computations (31.8% saved)

sample776.0ms (26.7%)

Algorithm
intervals
Results
222.0ms8000×pre128true
164.0ms8000×body128valid
Compiler

Compiled 154 to 103 computations (33.1% saved)

Profiling

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