Details

Time bar (total: 2.9s)

analyze88.0ms (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)

simplify48.0ms (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

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
8.4b
Counts
1 → 1
Alt Table
StatusErrorProgram
8.4b
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b
(/.f64 x0 (-.f64 1 x1))
7.6b
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite54.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
7.4b
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:

12.0ms
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
5.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 808 to 492 computations (39.1% saved)

series39.0ms (1.4%)

Error
4.1b
Counts
2 → 18
Calls

2 calls:

17.0ms
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
15.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 431 to 279 computations (35.3% saved)

simplify87.0ms (3%)

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
32176990
44740990
55034990

prune17.0ms (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
7.5b
(*.f64 1 (*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0))
16.6b
(*.f64 (+.f64 x1 (*.f64 x1 x1)) (+.f64 x0 (*.f64 x1 (*.f64 x1 x0))))
Compiler

Compiled 408 to 230 computations (43.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
7.3b
(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

rewrite72.0ms (2.5%)

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

2 calls:

18.0ms
(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
13.0ms
(-.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:

18.0ms
(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
8.0ms
(-.f64 (/.f64 1 (-.f64 1 x1)) 1)
Compiler

Compiled 384 to 284 computations (26% saved)

simplify115.0ms (4%)

Algorithm
egg-herbie
Rules
618×distribute-rgt-in_binary64
576×distribute-lft-in_binary64
512×div-sub_binary64
319×times-frac_binary64
231×associate-*l/_binary64
Counts
71 → 63
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0871123
11851042
2468952
31061945
42227944
53826944
64939944
74899944

prune29.0ms (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
6.5b
(*.f64 1 (*.f64 (*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (cbrt.f64 x0)))
16.6b
(*.f64 (+.f64 x1 (*.f64 x1 x1)) (+.f64 x0 (*.f64 x1 (*.f64 x1 x0))))
Compiler

Compiled 730 to 557 computations (23.7% saved)

localize11.0ms (0.4%)

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)))
6.0b
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite104.0ms (3.6%)

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:

28.0ms
(*.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)

series126.0ms (4.4%)

Error
3.2b
Counts
2 → 18
Calls

2 calls:

66.0ms
(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
43.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 1093 to 829 computations (24.2% saved)

simplify140.0ms (4.9%)

Algorithm
egg-herbie
Rules
390×unswap-sqr_binary64
387×*-commutative_binary64
258×exp-prod_binary64
254×div-sub_binary64
214×unsub-neg_binary64
Counts
87 → 74
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01501978
13641749
212791687
329151647
444311569
547781569
648691569

prune37.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh101
Picked101
Done000
Total74276
Error
2.9b
Counts
76 → 2
Alt Table
StatusErrorProgram
16.6b
(*.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)))
6.2b
(*.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)))
Compiler

Compiled 1135 to 677 computations (40.4% saved)

localize17.0ms (0.6%)

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)))
6.0b
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
6.0b
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite287.0ms (10%)

Algorithm
rewrite-expression-head
Error
2.4b
Rules
70×add-sqr-sqrt_binary64
57×add-exp-log_binary64
43×prod-exp_binary64
21×cbrt-prod_binary64
18×difference-of-squares_binary64
Counts
4 → 132
Calls

4 calls:

56.0ms
(*.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))
23.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
22.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 5580 to 3249 computations (41.8% saved)

series265.0ms (9.2%)

Error
2.9b
Counts
4 → 33
Calls

4 calls:

67.0ms
(*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6))
64.0ms
(*.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)))
51.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
50.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 3040 to 2227 computations (26.7% saved)

simplify188.0ms (6.5%)

Algorithm
egg-herbie
Rules
503×*-commutative_binary64
470×unswap-sqr_binary64
249×log-prod_binary64
220×associate-*l*_binary64
198×associate-*r*_binary64
Counts
165 → 138
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02294511
14973867
214173623
332943595
448113595
549543595

prune97.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh011
Picked011
Done000
Total1382140
Error
2.9b
Counts
140 → 2
Alt Table
StatusErrorProgram
16.6b
(*.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)))
6.2b
(*.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)))
Compiler

Compiled 3507 to 2184 computations (37.7% saved)

regimes182.0ms (6.3%)

Accuracy

Total -0.5b remaining (-21.4%)

Threshold costs -0.5b (-21.4%)

Compiler

Compiled 3972 to 2729 computations (31.3% saved)

bsearch1.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
15×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
*-lft-identity_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041131
163131
270131
374131
476131
575131

end2.0ms (0.1%)

Compiler

Compiled 86 to 58 computations (32.6% saved)

sample787.0ms (27.4%)

Algorithm
intervals
Results
217.0ms8000×pre128true
163.0ms8000×body128valid
Compiler

Compiled 174 to 116 computations (33.3% saved)

Profiling

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