Details

Time bar (total: 3.5s)

analyze178.0ms (5%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03320
13320
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
37.5%62.4%0.1%6
67.1%32.8%0.1%7
71%28.9%0.1%8
82.3%17.6%0.1%9
84.9%15%0.1%10
90.8%9.1%0.1%11
92.2%7.7%0.1%12
95.3%4.6%0.1%13
96%3.9%0.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample21.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02010
12010

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
10.1b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.4b
(/.f64 (*.f64 x y) (+.f64 y 1))

rewrite46.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
*-un-lft-identity_binary64_17469
add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
times-frac_binary64_17475 associate-/r*_binary64_17413
add-cube-cbrt_binary64_17504 add-sqr-sqrt_binary64_17491
div-exp_binary64_17520 cbrt-undiv_binary64_17503 distribute-lft-out_binary64_17420 associate-/r/_binary64_17415
pow1_binary64_17530 prod-exp_binary64_17518 add-log-exp_binary64_17508 cbrt-unprod_binary64_17502 frac-2neg_binary64_17480 clear-num_binary64_17468 div-inv_binary64_17466 flip3-+_binary64_17472 flip-+_binary64_17443 associate-/l*_binary64_17414
Counts
1 → 25
Calls

1 calls:

7.0ms
(/.f64 (*.f64 x y) (+.f64 y 1))
Compiler

Compiled 342 to 205 computations (40.1% saved)

series117.0ms (3.3%)

Error
0.0b
Counts
1 → 15
Calls

1 calls:

107.0ms
(/.f64 (*.f64 x y) (+.f64 y 1))
Compiler

Compiled 295 to 190 computations (35.6% saved)

simplify75.0ms (2.1%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05165483

prune45.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New37340
Fresh000
Picked101
Done000
Total38341
Error
0b
Counts
41 → 3
Compiler

Compiled 444 to 238 computations (46.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (+.f64 y 1))
0.0b
(*.f64 x (/.f64 y (+.f64 y 1)))

rewrite88.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
34×*-un-lft-identity_binary64_17469
25×add-sqr-sqrt_binary64_17491 times-frac_binary64_17475
20×add-cube-cbrt_binary64_17504
18×associate-*r*_binary64_17409
add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
distribute-lft-out_binary64_17420
pow1_binary64_17530 associate-/r/_binary64_17415 associate-/r*_binary64_17413
associate-*l*_binary64_17410 associate-/l*_binary64_17414
div-exp_binary64_17520 prod-exp_binary64_17518 add-log-exp_binary64_17508 cbrt-unprod_binary64_17502 cbrt-undiv_binary64_17503 unswap-sqr_binary64_17437 div-inv_binary64_17466 flip3-+_binary64_17472 flip-+_binary64_17443
pow-prod-down_binary64_17540 associate-*r/_binary64_17411 *-commutative_binary64_17400 frac-2neg_binary64_17480 clear-num_binary64_17468
Counts
2 → 70
Calls

2 calls:

11.0ms
(*.f64 x (/.f64 y (+.f64 y 1)))
5.0ms
(/.f64 y (+.f64 y 1))
Compiler

Compiled 1031 to 638 computations (38.1% saved)

series172.0ms (4.9%)

Error
0b
Counts
2 → 27
Calls

2 calls:

113.0ms
(*.f64 x (/.f64 y (+.f64 y 1)))
34.0ms
(/.f64 y (+.f64 y 1))
Compiler

Compiled 535 to 385 computations (28% saved)

simplify119.0ms (3.4%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
049491193
149491193

prune86.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done000
Total973100
Error
0b
Counts
100 → 3
Compiler

Compiled 1187 to 672 computations (43.4% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 x (+.f64 y (/.f64 -1 y)))
7.6b
(*.f64 (/.f64 x (+.f64 y (/.f64 -1 y))) (-.f64 y 1))

rewrite124.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
39×*-un-lft-identity_binary64_17469
31×add-sqr-sqrt_binary64_17491
25×times-frac_binary64_17475
22×add-cube-cbrt_binary64_17504
18×associate-*l*_binary64_17410
add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
distribute-lft-out_binary64_17420 associate-*r*_binary64_17409
cancel-sign-sub-inv_binary64_17435
pow1_binary64_17530 distribute-rgt-in_binary64_17419 distribute-lft-in_binary64_17418 associate-/r/_binary64_17415 associate-/r*_binary64_17413
associate-/l*_binary64_17414
div-exp_binary64_17520 prod-exp_binary64_17518 add-log-exp_binary64_17508 cbrt-unprod_binary64_17502 cbrt-undiv_binary64_17503 flip3--_binary64_17473 frac-times_binary64_17479 flip--_binary64_17444 unswap-sqr_binary64_17437 sub-neg_binary64_17462 associate-*r/_binary64_17411 div-inv_binary64_17466 flip3-+_binary64_17472 flip-+_binary64_17443 difference-of-squares_binary64_17438
pow-prod-down_binary64_17540 associate-*l/_binary64_17412 difference-of-sqr-1_binary64_17439 distribute-lft-out--_binary64_17421 *-commutative_binary64_17400 frac-2neg_binary64_17480 clear-num_binary64_17468
Counts
2 → 86
Calls

2 calls:

18.0ms
(*.f64 (/.f64 x (+.f64 y (/.f64 -1 y))) (-.f64 y 1))
10.0ms
(/.f64 x (+.f64 y (/.f64 -1 y)))
Compiler

Compiled 1787 to 1174 computations (34.3% saved)

series308.0ms (8.7%)

Error
0b
Counts
2 → 29
Calls

2 calls:

140.0ms
(*.f64 (/.f64 x (+.f64 y (/.f64 -1 y))) (-.f64 y 1))
136.0ms
(/.f64 x (+.f64 y (/.f64 -1 y)))
Compiler

Compiled 798 to 541 computations (32.2% saved)

simplify80.0ms (2.3%)

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049891993
149891993

prune120.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh011
Picked011
Done011
Total1153118
Error
0b
Counts
118 → 3
Compiler

Compiled 1948 to 1202 computations (38.3% saved)

localize29.0ms (0.8%)

Local error

Found 2 expressions with local error:

12.2b
(/.f64 (*.f64 x y) (+.f64 1 (pow.f64 y 3)))
20.1b
(*.f64 (/.f64 (*.f64 x y) (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 (*.f64 1 1) (*.f64 y 1))))

rewrite141.0ms (4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
16×add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
13×*-un-lft-identity_binary64_17469
10×associate-*l*_binary64_17410
add-sqr-sqrt_binary64_17491
times-frac_binary64_17475
add-cube-cbrt_binary64_17504
prod-exp_binary64_17518 cbrt-unprod_binary64_17502
pow1_binary64_17530 div-exp_binary64_17520 cbrt-undiv_binary64_17503 flip3-+_binary64_17472 flip-+_binary64_17443 associate-/r/_binary64_17415 associate-/r*_binary64_17413
distribute-lft-out_binary64_17420 associate-*r*_binary64_17409
add-log-exp_binary64_17508 frac-times_binary64_17479 associate-*r/_binary64_17411 div-inv_binary64_17466
pow-prod-down_binary64_17540 unswap-sqr_binary64_17437 distribute-rgt-in_binary64_17419 distribute-lft-in_binary64_17418 associate-*l/_binary64_17412 *-commutative_binary64_17400 frac-2neg_binary64_17480 clear-num_binary64_17468 associate-/l*_binary64_17414
Counts
2 → 61
Calls

2 calls:

21.0ms
(*.f64 (/.f64 (*.f64 x y) (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 (*.f64 1 1) (*.f64 y 1))))
9.0ms
(/.f64 (*.f64 x y) (+.f64 1 (pow.f64 y 3)))
Compiler

Compiled 2078 to 1373 computations (33.9% saved)

series439.0ms (12.4%)

Error
0b
Counts
2 → 26
Calls

2 calls:

223.0ms
(/.f64 (*.f64 x y) (+.f64 1 (pow.f64 y 3)))
194.0ms
(*.f64 (/.f64 (*.f64 x y) (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 (*.f64 1 1) (*.f64 y 1))))
Compiler

Compiled 1019 to 725 computations (28.9% saved)

simplify105.0ms (3%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
053131773

prune107.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done022
Total87390
Error
0b
Counts
90 → 3
Compiler

Compiled 2006 to 1249 computations (37.7% saved)

regimes168.0ms (4.8%)

Accuracy

Total 0.0b remaining (98.6%)

Threshold costs 0.0b (98.6%)

Compiler

Compiled 1007 to 805 computations (20.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample936.0ms (26.5%)

Algorithm
intervals
Results
236.0ms8000×body128valid
Compiler

Compiled 349 to 270 computations (22.6% saved)

Profiling

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