Details

Time bar (total: 4.2s)

analyze407.0ms (9.6%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08752
18752
033
133
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%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
28.1%67.9%4%9
40.6%53%6.4%10
49.1%42.9%7.9%11
51.5%37.7%10.8%12
59.1%26.9%14%13
63.7%21.8%14.5%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.4%)

Algorithm
intervals
Results
6.0ms243×body128valid
1.0msbody1024valid
1.0ms24×body128invalid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03113
13113

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
0.0b
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))

rewrite47.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
add-sqr-sqrt_binary64_13740 *-un-lft-identity_binary64_13718
add-log-exp_binary64_13757 pow1_binary64_13779 add-exp-log_binary64_13756 add-cbrt-cube_binary64_13754 add-cube-cbrt_binary64_13753 associate-*r*_binary64_13658
associate-*l*_binary64_13659
flip3-+_binary64_13721 flip-+_binary64_13692 distribute-rgt-in_binary64_13668 associate-+l+_binary64_13651 distribute-lft-in_binary64_13667 associate-*r/_binary64_13660
sum-log_binary64_13809 +-commutative_binary64_13648 pow-prod-down_binary64_13789 prod-exp_binary64_13767 cbrt-unprod_binary64_13751 unswap-sqr_binary64_13686 distribute-lft-out_binary64_13669 *-commutative_binary64_13649
Counts
2 → 36
Calls

2 calls:

7.0ms
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))
6.0ms
(*.f64 x (+.f64 y z))
Compiler

Compiled 583 to 248 computations (57.5% saved)

series245.0ms (5.8%)

Error
0.1b
Counts
2 → 33
Calls

2 calls:

154.0ms
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))
72.0ms
(*.f64 x (+.f64 y z))
Compiler

Compiled 738 to 501 computations (32.1% saved)

simplify76.0ms (1.8%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05032713

prune53.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New62769
Fresh000
Picked101
Done000
Total63770
Error
0.0b
Counts
70 → 7
Compiler

Compiled 908 to 406 computations (55.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 z (+.f64 5 x))
0.0b
(+.f64 (*.f64 y x) (*.f64 z (+.f64 5 x)))

rewrite44.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64_13740 *-un-lft-identity_binary64_13718
add-log-exp_binary64_13757 pow1_binary64_13779 add-exp-log_binary64_13756 add-cbrt-cube_binary64_13754 add-cube-cbrt_binary64_13753 associate-*r*_binary64_13658
associate-*l*_binary64_13659
flip3-+_binary64_13721 flip-+_binary64_13692 distribute-rgt-in_binary64_13668 associate-+r+_binary64_13650 distribute-lft-in_binary64_13667 associate-*r/_binary64_13660
sum-log_binary64_13809 +-commutative_binary64_13648 pow-prod-down_binary64_13789 prod-exp_binary64_13767 cbrt-unprod_binary64_13751 unswap-sqr_binary64_13686 distribute-lft-out_binary64_13669 *-commutative_binary64_13649
Counts
2 → 36
Calls

2 calls:

6.0ms
(*.f64 z (+.f64 5 x))
4.0ms
(+.f64 (*.f64 y x) (*.f64 z (+.f64 5 x)))
Compiler

Compiled 583 to 317 computations (45.6% saved)

series206.0ms (4.9%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

146.0ms
(+.f64 (*.f64 y x) (*.f64 z (+.f64 5 x)))
49.0ms
(*.f64 z (+.f64 5 x))
Compiler

Compiled 597 to 408 computations (31.7% saved)

simplify77.0ms (1.8%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04950686
14950686

prune50.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New59463
Fresh426
Picked011
Done000
Total63770
Error
0.0b
Counts
70 → 7
Compiler

Compiled 839 to 426 computations (49.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite71.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_13749
23×add-sqr-sqrt_binary64_13740
15×add-cube-cbrt_binary64_13753 *-un-lft-identity_binary64_13718
11×pow1_binary64_13779
pow1/3_binary64_13800
add-exp-log_binary64_13756 swap-sqr_binary64_13685 associate-*l*_binary64_13659 associate-*r*_binary64_13658
add-log-exp_binary64_13757 add-cbrt-cube_binary64_13754 unswap-sqr_binary64_13686
pow-prod-down_binary64_13789 pow-prod-up_binary64_13788 pow-sqr_binary64_13691
pow2_binary64_13799 pow-plus_binary64_13781 prod-exp_binary64_13767 cbrt-unprod_binary64_13751 *-commutative_binary64_13649
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1524 to 527 computations (65.4% saved)

series321.0ms (7.6%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

90.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
81.0ms
(cbrt.f64 z)
72.0ms
(cbrt.f64 z)
69.0ms
(cbrt.f64 z)
Compiler

Compiled 663 to 480 computations (27.6% saved)

simplify76.0ms (1.8%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04873548
14873548

prune73.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done011
Total85792
Error
0.0b
Counts
92 → 7
Compiler

Compiled 1674 to 714 computations (57.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 y x) (/.f64 (*.f64 z (-.f64 25 (*.f64 x x))) (-.f64 5 x)))
2.7b
(*.f64 z (-.f64 25 (*.f64 x x)))
8.7b
(/.f64 (*.f64 z (-.f64 25 (*.f64 x x))) (-.f64 5 x))

rewrite97.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64_13740
11×*-un-lft-identity_binary64_13718
10×add-exp-log_binary64_13756 add-cbrt-cube_binary64_13754
add-cube-cbrt_binary64_13753
pow1_binary64_13779 add-log-exp_binary64_13757 times-frac_binary64_13724 associate-/r*_binary64_13662
associate-*r/_binary64_13660 associate-*r*_binary64_13658
difference-of-squares_binary64_13687 flip3--_binary64_13722 flip--_binary64_13693 associate-*l*_binary64_13659
prod-exp_binary64_13767 div-exp_binary64_13769 cbrt-undiv_binary64_13752 cbrt-unprod_binary64_13751 distribute-lft-out--_binary64_13670 associate-/l/_binary64_13665 associate-/r/_binary64_13664 sub-neg_binary64_13711 distribute-rgt-in_binary64_13668 cancel-sign-sub-inv_binary64_13684 distribute-lft-in_binary64_13667
frac-2neg_binary64_13729 clear-num_binary64_13717 div-inv_binary64_13715 associate-/l*_binary64_13663 pow-prod-down_binary64_13789 unswap-sqr_binary64_13686 *-commutative_binary64_13649 sum-log_binary64_13809 flip3-+_binary64_13721 flip-+_binary64_13692 +-commutative_binary64_13648
Counts
3 → 65
Calls

3 calls:

9.0ms
(/.f64 (*.f64 z (-.f64 25 (*.f64 x x))) (-.f64 5 x))
8.0ms
(+.f64 (*.f64 y x) (/.f64 (*.f64 z (-.f64 25 (*.f64 x x))) (-.f64 5 x)))
6.0ms
(*.f64 z (-.f64 25 (*.f64 x x)))
Compiler

Compiled 1585 to 837 computations (47.2% saved)

series613.0ms (14.5%)

Error
0b
Counts
3 → 36
Calls

3 calls:

359.0ms
(+.f64 (*.f64 y x) (/.f64 (*.f64 z (-.f64 25 (*.f64 x x))) (-.f64 5 x)))
133.0ms
(/.f64 (*.f64 z (-.f64 25 (*.f64 x x))) (-.f64 5 x))
97.0ms
(*.f64 z (-.f64 25 (*.f64 x x)))
Compiler

Compiled 1273 to 946 computations (25.7% saved)

simplify63.0ms (1.5%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049621620
149621620

prune84.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New992101
Fresh224
Picked101
Done022
Total1026108
Error
0b
Counts
108 → 6
Compiler

Compiled 1798 to 908 computations (49.5% saved)

regimes312.0ms (7.4%)

Accuracy

Total 0.1b remaining (96%)

Threshold costs 0.1b (96%)

Compiler

Compiled 3194 to 2424 computations (24.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample1.2s (29.5%)

Algorithm
intervals
Results
219.0ms7690×body128valid
17.0ms659×body128invalid
14.0ms152×body1024valid
8.0ms109×body512valid
2.0ms49×body256valid
Compiler

Compiled 793 to 607 computations (23.5% saved)

Profiling

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