Details

Time bar (total: 3.3s)

analyze205.0ms (6.2%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046820
146820
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
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample21.0ms (0.6%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
0.0ms8×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify24.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
026810
126810

prune3.0ms (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 14 to 12 computations (14.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (*.f64 x y) (-.f64 1 y))

rewrite57.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
7×add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419
6×pow1_binary64_480 add-exp-log_binary64_457 add-cbrt-cube_binary64_455 cancel-sign-sub-inv_binary64_385 associate-*r*_binary64_359
4×add-cube-cbrt_binary64_454 distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368
3×pow-prod-down_binary64_490 prod-exp_binary64_468 cbrt-unprod_binary64_452
2×sub-neg_binary64_412 associate-*r/_binary64_361 difference-of-squares_binary64_388
1×add-log-exp_binary64_458 flip3--_binary64_423 flip--_binary64_394 associate-*l*_binary64_360 distribute-lft-out--_binary64_371 *-commutative_binary64_350
Counts
1 → 31
Calls

1 calls:

17.0ms
(*.f64 (*.f64 x y) (-.f64 1 y))
Compiler

Compiled 441 to 229 computations (48.1% saved)

series124.0ms (3.8%)

Error
0.0b
Counts
1 → 9
Calls

1 calls:

118.0ms
(*.f64 (*.f64 x y) (-.f64 1 y))
Compiler

Compiled 178 to 132 computations (25.8% saved)

simplify84.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04945442
14945442

prune48.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New34640
Fresh000
Picked101
Done000
Total35641
Error
0.0b
Counts
41 → 6
Compiler

Compiled 464 to 160 computations (65.5% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 y x) (neg.f64 (*.f64 y (*.f64 y x))))
0.2b
(*.f64 y (*.f64 y x))

rewrite35.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
7×pow1_binary64_480 add-exp-log_binary64_457 add-cbrt-cube_binary64_455
6×add-log-exp_binary64_458
3×pow-prod-down_binary64_490 prod-exp_binary64_468 add-cube-cbrt_binary64_454 cbrt-unprod_binary64_452 add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419 associate-*l*_binary64_360
2×sum-log_binary64_510
1×associate-*r*_binary64_359 *-commutative_binary64_350 neg-log_binary64_512 flip3-+_binary64_422 unsub-neg_binary64_413 flip-+_binary64_393 distribute-lft-neg-in_binary64_376 distribute-rgt1-in_binary64_375 distribute-rgt-neg-in_binary64_377 distribute-lft-out_binary64_370 neg-sub0_binary64_414 associate-+r-_binary64_353 +-commutative_binary64_349
Counts
2 → 34
Calls

2 calls:

5.0ms
(*.f64 y (*.f64 y x))
4.0ms
(+.f64 (*.f64 y x) (neg.f64 (*.f64 y (*.f64 y x))))
Compiler

Compiled 565 to 141 computations (75% saved)

series161.0ms (4.9%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

93.0ms
(+.f64 (*.f64 y x) (neg.f64 (*.f64 y (*.f64 y x))))
58.0ms
(*.f64 y (*.f64 y x))
Compiler

Compiled 364 to 265 computations (27.2% saved)

simplify78.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04929480
14929480

prune43.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New47249
Fresh235
Picked101
Done000
Total50555
Error
0.0b
Counts
55 → 5
Compiler

Compiled 612 to 180 computations (70.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 x y))
0.1b
(*.f64 y (-.f64 x (*.f64 x y)))

rewrite36.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
6×add-sqr-sqrt_binary64_441
4×pow1_binary64_480 add-exp-log_binary64_457 add-log-exp_binary64_458 add-cbrt-cube_binary64_455 add-cube-cbrt_binary64_454 *-un-lft-identity_binary64_419
3×sub-neg_binary64_412 cancel-sign-sub-inv_binary64_385 associate-*l*_binary64_360 associate-*r*_binary64_359
2×distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 flip3--_binary64_423 associate-*r/_binary64_361 flip--_binary64_394
1×pow-prod-down_binary64_490 prod-exp_binary64_468 cbrt-unprod_binary64_452 unswap-sqr_binary64_387 *-commutative_binary64_350 diff-log_binary64_511
Counts
2 → 36
Calls

2 calls:

6.0ms
(*.f64 y (-.f64 x (*.f64 x y)))
3.0ms
(-.f64 x (*.f64 x y))
Compiler

Compiled 507 to 118 computations (76.7% saved)

series160.0ms (4.8%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

91.0ms
(*.f64 y (-.f64 x (*.f64 x y)))
61.0ms
(-.f64 x (*.f64 x y))
Compiler

Compiled 350 to 246 computations (29.7% saved)

simplify45.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05118598

prune43.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New53154
Fresh044
Picked011
Done000
Total53659
Error
0.0b
Counts
59 → 6
Compiler

Compiled 626 to 155 computations (75.2% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite87.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_450
23×add-sqr-sqrt_binary64_441
15×add-cube-cbrt_binary64_454 *-un-lft-identity_binary64_419
11×pow1_binary64_480
9×pow1/3_binary64_501
6×add-exp-log_binary64_457 swap-sqr_binary64_386 associate-*l*_binary64_360 associate-*r*_binary64_359
4×add-log-exp_binary64_458 add-cbrt-cube_binary64_455 unswap-sqr_binary64_387
2×pow-prod-down_binary64_490 pow-prod-up_binary64_489 pow-sqr_binary64_392
1×pow2_binary64_500 pow-plus_binary64_482 prod-exp_binary64_468 cbrt-unprod_binary64_452 *-commutative_binary64_350
Counts
4 → 73
Calls

4 calls:

10.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1597 to 387 computations (75.8% saved)

series448.0ms (13.5%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

130.0ms
(cbrt.f64 y)
112.0ms
(cbrt.f64 y)
109.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
87.0ms
(cbrt.f64 y)
Compiler

Compiled 699 to 436 computations (37.6% saved)

simplify86.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04873548
14873548

prune84.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done011
Total85691
Error
0.0b
Counts
91 → 6
Compiler

Compiled 1658 to 439 computations (73.5% saved)

regimes223.0ms (6.7%)

Accuracy

Total 0.1b remaining (94.3%)

Threshold costs 0.1b (94.3%)

Compiler

Compiled 1822 to 1266 computations (30.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
13410

end0.0ms (0%)

sample1.2s (35.4%)

Algorithm
1×intervals
Results
229.0ms8000×body128valid
5.0ms191×body128invalid
Compiler

Compiled 584 to 406 computations (30.5% saved)

Profiling

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