Details

Time bar (total: 3.0s)

analyze144.0ms (4.8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07520
17520
022
122
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
25%74.9%0.1%5
50%50%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
76.5%14%9.5%9
80.4%10.1%9.5%10
82.3%6.6%11%11
84.1%4.9%11%12
85%3.2%11.8%13
85.8%2.4%11.8%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample15.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04810
14810

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x 4/29)
0.0b
(*.f64 (-.f64 x 4/29) 3)
0.2b
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)

rewrite75.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×add-sqr-sqrt_binary64_23629
11×*-un-lft-identity_binary64_23607
10×pow1_binary64_23668 add-exp-log_binary64_23645 add-cbrt-cube_binary64_23643
add-cube-cbrt_binary64_23642
associate-*l/_binary64_23550 associate-*l*_binary64_23548 associate-*r*_binary64_23547
add-log-exp_binary64_23646
pow-prod-down_binary64_23678 prod-exp_binary64_23656 cbrt-unprod_binary64_23640
flip3--_binary64_23611 flip--_binary64_23582 cancel-sign-sub-inv_binary64_23573
*-commutative_binary64_23538 difference-of-squares_binary64_23576 distribute-lft-out--_binary64_23559
unswap-sqr_binary64_23575 diff-log_binary64_23699 sub-neg_binary64_23600
Counts
3 → 58
Calls

3 calls:

8.0ms
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)
6.0ms
(*.f64 (-.f64 x 4/29) 3)
3.0ms
(-.f64 x 4/29)
Compiler

Compiled 768 to 586 computations (23.7% saved)

series147.0ms (4.9%)

Error
0.1b
Counts
3 → 21
Calls

3 calls:

84.0ms
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)
30.0ms
(*.f64 (-.f64 x 4/29) 3)
17.0ms
(-.f64 x 4/29)
Compiler

Compiled 352 to 305 computations (13.4% saved)

simplify73.0ms (2.4%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04983680
14983680

prune68.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New72779
Fresh000
Picked101
Done000
Total73780
Error
0.0b
Counts
80 → 7
Compiler

Compiled 861 to 655 computations (23.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 -12/29 (*.f64 3 x))
0.2b
(*.f64 y (+.f64 -12/29 (*.f64 3 x)))

rewrite39.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64_23629
pow1_binary64_23668 add-exp-log_binary64_23645 add-log-exp_binary64_23646 add-cbrt-cube_binary64_23643 add-cube-cbrt_binary64_23642 *-un-lft-identity_binary64_23607
associate-*l*_binary64_23548 associate-*r*_binary64_23547
flip3-+_binary64_23610 associate-*r/_binary64_23549 flip-+_binary64_23581
pow-prod-down_binary64_23678 prod-exp_binary64_23656 cbrt-unprod_binary64_23640 unswap-sqr_binary64_23575 distribute-rgt-in_binary64_23557 distribute-lft-in_binary64_23556 *-commutative_binary64_23538 sum-log_binary64_23698 +-commutative_binary64_23537
Counts
2 → 33
Calls

2 calls:

6.0ms
(*.f64 y (+.f64 -12/29 (*.f64 3 x)))
3.0ms
(+.f64 -12/29 (*.f64 3 x))
Compiler

Compiled 476 to 368 computations (22.7% saved)

series126.0ms (4.2%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

87.0ms
(*.f64 y (+.f64 -12/29 (*.f64 3 x)))
32.0ms
(+.f64 -12/29 (*.f64 3 x))
Compiler

Compiled 259 to 222 computations (14.3% saved)

simplify68.0ms (2.3%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04913512
14913512

prune41.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh246
Picked011
Done000
Total48755
Error
0b
Counts
55 → 7
Compiler

Compiled 587 to 455 computations (22.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x 4/29)
0.3b
(*.f64 (-.f64 x 4/29) (*.f64 y 3))

rewrite43.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64_23629 *-un-lft-identity_binary64_23607
pow1_binary64_23668 add-exp-log_binary64_23645 add-cbrt-cube_binary64_23643
associate-*l*_binary64_23548
add-log-exp_binary64_23646 add-cube-cbrt_binary64_23642
pow-prod-down_binary64_23678 prod-exp_binary64_23656 cbrt-unprod_binary64_23640 cancel-sign-sub-inv_binary64_23573
flip3--_binary64_23611 associate-*l/_binary64_23550 flip--_binary64_23582 difference-of-squares_binary64_23576 distribute-lft-out--_binary64_23559
associate-*r*_binary64_23547 *-commutative_binary64_23538 diff-log_binary64_23699 sub-neg_binary64_23600
Counts
2 → 38
Calls

2 calls:

8.0ms
(*.f64 (-.f64 x 4/29) (*.f64 y 3))
4.0ms
(-.f64 x 4/29)
Compiler

Compiled 506 to 388 computations (23.3% saved)

series112.0ms (3.7%)

Error
0b
Counts
2 → 15
Calls

2 calls:

85.0ms
(*.f64 (-.f64 x 4/29) (*.f64 y 3))
19.0ms
(-.f64 x 4/29)
Compiler

Compiled 263 to 226 computations (14.1% saved)

simplify84.0ms (2.8%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04905462
14905462

prune43.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New52153
Fresh145
Picked011
Done011
Total53760
Error
0b
Counts
60 → 7
Compiler

Compiled 595 to 457 computations (23.2% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x 4/29)
0.1b
(*.f64 y (-.f64 x 4/29))
0.3b
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)

rewrite72.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
15×add-sqr-sqrt_binary64_23629
13×*-un-lft-identity_binary64_23607
10×pow1_binary64_23668 add-exp-log_binary64_23645 add-cbrt-cube_binary64_23643
add-cube-cbrt_binary64_23642 cancel-sign-sub-inv_binary64_23573
associate-*r*_binary64_23547
add-log-exp_binary64_23646
pow-prod-down_binary64_23678 prod-exp_binary64_23656 cbrt-unprod_binary64_23640 associate-*r/_binary64_23549 associate-*l*_binary64_23548 distribute-rgt-in_binary64_23557 distribute-lft-in_binary64_23556
flip3--_binary64_23611 flip--_binary64_23582 sub-neg_binary64_23600
associate-*l/_binary64_23550 *-commutative_binary64_23538 difference-of-squares_binary64_23576 distribute-lft-out--_binary64_23559
unswap-sqr_binary64_23575 diff-log_binary64_23699
Counts
3 → 66
Calls

3 calls:

7.0ms
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)
7.0ms
(*.f64 y (-.f64 x 4/29))
3.0ms
(-.f64 x 4/29)
Compiler

Compiled 874 to 652 computations (25.4% saved)

series182.0ms (6%)

Error
0b
Counts
3 → 24
Calls

3 calls:

85.0ms
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)
64.0ms
(*.f64 y (-.f64 x 4/29))
19.0ms
(-.f64 x 4/29)
Compiler

Compiled 437 to 369 computations (15.6% saved)

simplify57.0ms (1.9%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04924765
14924765

prune57.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh044
Picked011
Done022
Total90797
Error
0b
Counts
97 → 7
Compiler

Compiled 876 to 631 computations (28% saved)

regimes377.0ms (12.5%)

Accuracy

Total 0.2b remaining (98.7%)

Threshold costs 0.2b (98.7%)

Compiler

Compiled 3074 to 2799 computations (8.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03813
13813

end0.0ms (0%)

sample1.2s (38.2%)

Algorithm
intervals
Results
241.0ms8000×body128valid
2.0ms79×body128invalid
Compiler

Compiled 616 to 558 computations (9.4% saved)

Profiling

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