Details

Time bar (total: 2.9s)

analyze57.0ms (2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
12.5%62.4%25.1%5
31.2%31.2%37.6%6
37.5%25%37.6%7
40.6%15.6%43.8%8
42.9%11.7%45.4%9
44.1%7.4%48.5%10
45.1%5.7%49.3%11
45.6%3.6%50.8%12
46%2.8%51.2%13
46.2%1.8%52%14
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample19.0ms (0.7%)

Algorithm
intervals
Results
12.0ms256×body128valid
0.0msbody128nan
0.0msbody128invalid
Compiler

Compiled 29 to 29 computations (0% saved)

simplify299.0ms (10.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
0157218
1157218

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2
Compiler

Compiled 38 to 35 computations (7.9% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b
(*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
0.3b
(*.f64 3 (sqrt.f64 x))
0.4b
(/.f64 1/9 x)

rewrite31.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity_binary64_12546
19×add-sqr-sqrt_binary64_12567
15×add-cube-cbrt_binary64_12578
12×add-cbrt-cube_binary64_12579 add-exp-log_binary64_12581
11×associate-*r*_binary64_12488
10×pow1_binary64_12604
times-frac_binary64_12552
prod-exp_binary64_12592 sqrt-prod_binary64_12561 pow-prod-down_binary64_12614 associate-*r/_binary64_12490 associate-*l*_binary64_12489 cbrt-unprod_binary64_12576
distribute-lft-out_binary64_12499 associate-/l*_binary64_12493 add-log-exp_binary64_12582 associate-/r*_binary64_12492
flip-+_binary64_12520 unswap-sqr_binary64_12514 flip3-+_binary64_12549 *-commutative_binary64_12479 frac-add_binary64_12554
cbrt-undiv_binary64_12577 distribute-rgt-in_binary64_12498 distribute-lft-in_binary64_12497 div-inv_binary64_12543 div-exp_binary64_12594 clear-num_binary64_12545 frac-2neg_binary64_12557
Counts
3 → 75
Calls

3 calls:

17.0ms
(*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
5.0ms
(*.f64 3 (sqrt.f64 x))
3.0ms
(/.f64 1/9 x)

series130.0ms (4.5%)

Counts
3 → 9
Calls

3 calls:

78.0ms
(*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
32.0ms
(*.f64 3 (sqrt.f64 x))
20.0ms
(/.f64 1/9 x)

simplify39.0ms (1.3%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
051461145

prune120.0ms (4.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New721284
Fresh011
Picked101
Done000
Total731386

Merged error: 0.0b

Counts
86 → 13
Compiler

Compiled 1722 to 1216 computations (29.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 y (/.f64 1 (*.f64 x 9)))
0.3b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
0.3b
(*.f64 3 (sqrt.f64 x))
0.4b
(/.f64 1 (*.f64 x 9))

rewrite38.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64_12581
21×*-un-lft-identity_binary64_12546
18×add-sqr-sqrt_binary64_12567
16×add-cbrt-cube_binary64_12579
15×associate-*r*_binary64_12488
14×pow1_binary64_12604
10×add-cube-cbrt_binary64_12578
prod-exp_binary64_12592
add-log-exp_binary64_12582
pow-prod-down_binary64_12614 cbrt-unprod_binary64_12576
distribute-lft-out_binary64_12499 sqrt-prod_binary64_12561 div-exp_binary64_12594 associate-*l*_binary64_12489
times-frac_binary64_12552 distribute-lft-out--_binary64_12500 associate-/l*_binary64_12493 div-inv_binary64_12543
1-exp_binary64_12587 cbrt-undiv_binary64_12577 rec-exp_binary64_12593 distribute-rgt-in_binary64_12498 unswap-sqr_binary64_12514 sub-neg_binary64_12539 distribute-lft-in_binary64_12497 associate--l+_binary64_12485 associate-*r/_binary64_12490 difference-of-squares_binary64_12515 *-commutative_binary64_12479 pow-flip_binary64_12617
flip-+_binary64_12520 difference-of-sqr-1_binary64_12516 flip--_binary64_12521 inv-pow_binary64_12628 flip3-+_binary64_12549 +-commutative_binary64_12478 sum-log_binary64_12634 clear-num_binary64_12545 flip3--_binary64_12550 associate-/r*_binary64_12492 frac-2neg_binary64_12557
Counts
4 → 93
Calls

4 calls:

15.0ms
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
6.0ms
(+.f64 y (/.f64 1 (*.f64 x 9)))
5.0ms
(/.f64 1 (*.f64 x 9))
5.0ms
(*.f64 3 (sqrt.f64 x))

series158.0ms (5.5%)

Counts
4 → 12
Calls

4 calls:

78.0ms
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
32.0ms
(+.f64 y (/.f64 1 (*.f64 x 9)))
27.0ms
(*.f64 3 (sqrt.f64 x))
21.0ms
(/.f64 1 (*.f64 x 9))

simplify73.0ms (2.5%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049161293
149161293

prune118.0ms (4.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1032105
Fresh11112
Picked011
Done000
Total10414118

Merged error: 0.0b

Counts
118 → 14
Compiler

Compiled 2109 to 1542 computations (26.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))
0.3b
(*.f64 (sqrt.f64 x) 3)
0.4b
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
0.4b
(/.f64 1/3 x)

rewrite38.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_12567
27×*-un-lft-identity_binary64_12546
25×add-cube-cbrt_binary64_12578
21×associate-*r*_binary64_12488
20×times-frac_binary64_12552
18×add-cbrt-cube_binary64_12579 add-exp-log_binary64_12581
13×pow1_binary64_12604 associate-*l*_binary64_12489
sqrt-prod_binary64_12561
prod-exp_binary64_12592 unswap-sqr_binary64_12514 cbrt-unprod_binary64_12576
pow-prod-down_binary64_12614
add-log-exp_binary64_12582
associate-/l*_binary64_12493 associate-*r/_binary64_12490 *-commutative_binary64_12479 associate-/r*_binary64_12492
cbrt-undiv_binary64_12577 div-inv_binary64_12543 div-exp_binary64_12594
flip-+_binary64_12520 distribute-lft-out_binary64_12499 distribute-rgt-in_binary64_12498 distribute-lft-in_binary64_12497 flip3-+_binary64_12549 clear-num_binary64_12545 difference-of-sqr--1_binary64_12517 frac-2neg_binary64_12557
Counts
4 → 110
Calls

4 calls:

9.0ms
(*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))
9.0ms
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
5.0ms
(*.f64 (sqrt.f64 x) 3)
3.0ms
(/.f64 1/3 x)

series143.0ms (5%)

Counts
4 → 12
Calls

4 calls:

55.0ms
(*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))
39.0ms
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
30.0ms
(*.f64 (sqrt.f64 x) 3)
20.0ms
(/.f64 1/3 x)

simplify76.0ms (2.6%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049191476
149191476

prune149.0ms (5.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1184122
Fresh4812
Picked101
Done011
Total12313136

Merged error: 0.0b

Counts
136 → 13
Compiler

Compiled 2686 to 1724 computations (35.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 1 (/.f64 1/3 (sqrt.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1)))
0.1b
(*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))
0.3b
(*.f64 (sqrt.f64 x) 3)
0.4b
(/.f64 1/3 (sqrt.f64 x))

rewrite38.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64_12567
25×*-un-lft-identity_binary64_12546
23×add-cube-cbrt_binary64_12578
18×times-frac_binary64_12552
16×sqrt-prod_binary64_12561
13×add-cbrt-cube_binary64_12579 add-exp-log_binary64_12581
11×pow1_binary64_12604
associate-*r*_binary64_12488
associate-*l*_binary64_12489
associate-*r/_binary64_12490 add-log-exp_binary64_12582 associate-/r*_binary64_12492
prod-exp_binary64_12592 pow-prod-down_binary64_12614 cbrt-unprod_binary64_12576
flip-+_binary64_12520 associate-/l*_binary64_12493 flip3-+_binary64_12549
associate-+r+_binary64_12480 distribute-rgt-in_binary64_12498 unswap-sqr_binary64_12514 distribute-lft-in_binary64_12497 *-commutative_binary64_12479 frac-add_binary64_12554
cbrt-undiv_binary64_12577 distribute-lft-out_binary64_12499 +-commutative_binary64_12478 sum-log_binary64_12634 div-inv_binary64_12543 div-exp_binary64_12594 clear-num_binary64_12545 difference-of-sqr--1_binary64_12517 frac-2neg_binary64_12557
Counts
4 → 100
Calls

4 calls:

9.0ms
(+.f64 (*.f64 1 (/.f64 1/3 (sqrt.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1)))
9.0ms
(*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))
5.0ms
(*.f64 (sqrt.f64 x) 3)
4.0ms
(/.f64 1/3 (sqrt.f64 x))

series239.0ms (8.3%)

Counts
4 → 12
Calls

4 calls:

105.0ms
(+.f64 (*.f64 1 (/.f64 1/3 (sqrt.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1)))
55.0ms
(*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))
52.0ms
(/.f64 1/3 (sqrt.f64 x))
27.0ms
(*.f64 (sqrt.f64 x) 3)

simplify80.0ms (2.8%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049181758
149181758

prune125.0ms (4.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh2911
Picked101
Done011
Total11411125

Merged error: 0.0b

Counts
125 → 11
Compiler

Compiled 2333 to 1562 computations (33% saved)

regimes75.0ms (2.6%)

Compiler

Compiled 650 to 556 computations (14.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02721
12721

end0.0ms (0%)

sample807.0ms (27.8%)

Algorithm
intervals
Results
378.0ms8000×body128valid
7.0ms139×body128nan
5.0ms71×body128invalid
Compiler

Compiled 252 to 217 computations (13.9% saved)

Profiling

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