Details

Time bar (total: 2.1s)

analyze5.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.9%)

Algorithm
intervals
Results
6.0ms38×body256valid
4.0ms65×body512valid
4.0ms140×body128valid
1.0ms13×body1024valid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify167.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07313
17313

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 16.2b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
3.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite40.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity_binary64_419
46×add-sqr-sqrt_binary64_441
45×times-frac_binary64_425
22×add-cube-cbrt_binary64_454
13×cancel-sign-sub-inv_binary64_385
10×distribute-lft-out--_binary64_371
difference-of-squares_binary64_388
distribute-lft-out_binary64_370
div-inv_binary64_416 add-exp-log_binary64_457
add-log-exp_binary64_458 add-cbrt-cube_binary64_455 associate-/r*_binary64_363
pow1_binary64_480 associate-/l*_binary64_364
associate-/r/_binary64_365 div-exp_binary64_470
flip3-+_binary64_422 clear-num_binary64_418 1-exp_binary64_463 sub-neg_binary64_412 inv-pow_binary64_504 flip3--_binary64_423 rec-exp_binary64_469 frac-2neg_binary64_430 pow-flip_binary64_493 flip-+_binary64_393 diff-log_binary64_511 flip--_binary64_394 frac-sub_binary64_428 cbrt-undiv_binary64_453
Counts
2 → 81
Calls

2 calls:

26.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
6.0ms
(/.f64 1 (+.f64 x 1))

series49.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

30.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
18.0ms
(/.f64 1 (+.f64 x 1))

simplify87.0ms (4.1%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
060061244

prune81.0ms (3.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New85287
Fresh000
Picked101
Done000
Total86288

Merged error: 0.0b

Counts
88 → 2
Compiler

Compiled 1280 to 1025 computations (19.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 1 x))
0.2b
(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite17.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_455 add-exp-log_binary64_457
*-un-lft-identity_binary64_419 add-sqr-sqrt_binary64_441
add-cube-cbrt_binary64_454
associate-*r*_binary64_359 associate-*r/_binary64_361 pow1_binary64_480
times-frac_binary64_425 associate-*l*_binary64_360 associate-/l*_binary64_364
flip3-+_binary64_422 add-log-exp_binary64_458 prod-exp_binary64_468 cbrt-unprod_binary64_452 associate-/r/_binary64_365 flip-+_binary64_393 div-exp_binary64_470 cbrt-undiv_binary64_453
pow-prod-down_binary64_490 clear-num_binary64_418 distribute-rgt-in_binary64_369 div-inv_binary64_416 unswap-sqr_binary64_387 distribute-lft-out_binary64_370 distribute-lft-in_binary64_368 *-commutative_binary64_350 frac-2neg_binary64_430 associate-/r*_binary64_363
Counts
2 → 46
Calls

2 calls:

7.0ms
(/.f64 -1 (*.f64 x (+.f64 1 x)))
7.0ms
(*.f64 x (+.f64 1 x))

series82.0ms (3.9%)

Counts
2 → 6
Calls

2 calls:

57.0ms
(*.f64 x (+.f64 1 x))
25.0ms
(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify82.0ms (3.9%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04948553
14948553

prune44.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh101
Picked011
Done000
Total50454

Merged error: 0.0b

Counts
54 → 4
Compiler

Compiled 607 to 451 computations (25.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite19.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
97×times-frac_binary64_425
78×*-un-lft-identity_binary64_419
50×add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441
14×distribute-lft-out_binary64_370
13×associate-/l*_binary64_364
div-inv_binary64_416 add-cbrt-cube_binary64_455 add-exp-log_binary64_457
associate-/r*_binary64_363
div-exp_binary64_470 cbrt-undiv_binary64_453
associate-/r/_binary64_365
flip3-+_binary64_422 clear-num_binary64_418 add-log-exp_binary64_458 frac-2neg_binary64_430 flip-+_binary64_393 pow1_binary64_480 associate-/l/_binary64_366
Counts
1 → 86
Calls

1 calls:

10.0ms
(/.f64 (/.f64 -1 x) (+.f64 1 x))

series24.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

24.0ms
(/.f64 (/.f64 -1 x) (+.f64 1 x))

simplify82.0ms (3.9%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049241864
149241864

prune85.0ms (4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh022
Picked011
Done011
Total88593

Merged error: 0b

Counts
93 → 5
Compiler

Compiled 1463 to 1057 computations (27.8% saved)

localize13.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x x) (*.f64 1 x))
0.1b
(/.f64 -1 (+.f64 x (pow.f64 x 4)))
22.7b
(*.f64 (/.f64 -1 (+.f64 x (pow.f64 x 4))) (+.f64 (*.f64 1 1) (-.f64 (*.f64 x x) (*.f64 1 x))))

rewrite43.0ms (2%)

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity_binary64_419
26×add-sqr-sqrt_binary64_441
25×times-frac_binary64_425
21×add-cube-cbrt_binary64_454
18×associate-*l*_binary64_360
10×add-cbrt-cube_binary64_455 add-exp-log_binary64_457
distribute-lft-out_binary64_370
add-log-exp_binary64_458 pow1_binary64_480
flip3-+_binary64_422 associate-*r*_binary64_359 associate-/r/_binary64_365 flip-+_binary64_393 associate-/r*_binary64_363
associate-/l*_binary64_364
div-inv_binary64_416 unswap-sqr_binary64_387 frac-times_binary64_429 prod-exp_binary64_468 cbrt-unprod_binary64_452 associate-*r/_binary64_361 div-exp_binary64_470 cbrt-undiv_binary64_453
associate-*l/_binary64_362 pow-prod-down_binary64_490 clear-num_binary64_418 distribute-rgt-out--_binary64_373 sub-neg_binary64_412 distribute-rgt-in_binary64_369 flip3--_binary64_423 distribute-lft-in_binary64_368 *-commutative_binary64_350 frac-2neg_binary64_430 diff-log_binary64_511 flip--_binary64_394 cancel-sign-sub-inv_binary64_385
Counts
3 → 90
Calls

3 calls:

19.0ms
(*.f64 (/.f64 -1 (+.f64 x (pow.f64 x 4))) (+.f64 (*.f64 1 1) (-.f64 (*.f64 x x) (*.f64 1 x))))
9.0ms
(/.f64 -1 (+.f64 x (pow.f64 x 4)))
4.0ms
(-.f64 (*.f64 x x) (*.f64 1 x))

series177.0ms (8.4%)

Counts
3 → 9
Calls

3 calls:

73.0ms
(/.f64 -1 (+.f64 x (pow.f64 x 4)))
61.0ms
(-.f64 (*.f64 x x) (*.f64 1 x))
42.0ms
(*.f64 (/.f64 -1 (+.f64 x (pow.f64 x 4))) (+.f64 (*.f64 1 1) (-.f64 (*.f64 x x) (*.f64 1 x))))

simplify48.0ms (2.3%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
049891901
149891901

prune123.0ms (5.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done022
Total995104

Merged error: 0b

Counts
104 → 5
Compiler

Compiled 2393 to 1569 computations (34.4% saved)

regimes56.0ms (2.7%)

Compiler

Compiled 466 to 396 computations (15% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample743.0ms (35.3%)

Algorithm
intervals
Results
140.0ms1983×body512valid
122.0ms4553×body128valid
48.0ms1026×body256valid
40.0ms438×body1024valid
0.0msbody128invalid
Compiler

Compiled 240 to 205 computations (14.6% saved)

Profiling

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