Details

Time bar (total: 2.1s)

analyze41.0ms (2%)

Algorithm
search
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
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample14.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify281.0ms (13.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
0532913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.8b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

13.4b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube_binary64_14601 add-exp-log_binary64_14603
add-sqr-sqrt_binary64_14589 *-un-lft-identity_binary64_14568
associate-/r*_binary64_14514 times-frac_binary64_14574
div-exp_binary64_14616 cbrt-unprod_binary64_14598 prod-exp_binary64_14614 add-cube-cbrt_binary64_14600 cbrt-undiv_binary64_14599
associate-/r/_binary64_14516 difference-of-squares_binary64_14537 distribute-lft-out--_binary64_14522
associate-/l*_binary64_14515 pow1_binary64_14626 frac-2neg_binary64_14579 clear-num_binary64_14567 div-inv_binary64_14565 add-log-exp_binary64_14604 flip3--_binary64_14572 flip--_binary64_14543
Counts
1 → 29
Calls

1 calls:

9.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

series93.0ms (4.5%)

Counts
1 → 3
Calls

1 calls:

93.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

simplify57.0ms (2.7%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05803458

prune33.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New27532
Fresh000
Picked101
Done000
Total28533

Merged error: 0.0b

Counts
33 → 5
Compiler

Compiled 459 to 234 computations (49% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
0.2b
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

rewrite34.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64_14568
25×times-frac_binary64_14574
12×add-sqr-sqrt_binary64_14589 add-cube-cbrt_binary64_14600
10×distribute-lft-out_binary64_14521
add-exp-log_binary64_14603
associate-/r*_binary64_14514
add-cbrt-cube_binary64_14601 add-log-exp_binary64_14604
associate-/l*_binary64_14515 pow1_binary64_14626 associate-/r/_binary64_14516
div-exp_binary64_14616 flip3-+_binary64_14571 flip-+_binary64_14542 frac-add_binary64_14576
sum-log_binary64_14656 pow-flip_binary64_14639 frac-2neg_binary64_14579 clear-num_binary64_14567 div-inv_binary64_14565 1-exp_binary64_14609 +-commutative_binary64_14500 cbrt-undiv_binary64_14599 rec-exp_binary64_14615 inv-pow_binary64_14650
Counts
2 → 56
Calls

2 calls:

16.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
14.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series106.0ms (5.1%)

Counts
2 → 6
Calls

2 calls:

70.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
35.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify63.0ms (3.1%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
06214983

prune57.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh134
Picked011
Done000
Total62567

Merged error: 0.0b

Counts
67 → 5
Compiler

Compiled 935 to 750 computations (19.8% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 x y))
7.5b
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))

rewrite25.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64_14589 *-un-lft-identity_binary64_14568
30×times-frac_binary64_14574
21×associate-*r*_binary64_14510 add-cube-cbrt_binary64_14600
16×add-cbrt-cube_binary64_14601 add-exp-log_binary64_14603
pow1_binary64_14626 difference-of-squares_binary64_14537 distribute-lft-out--_binary64_14522
cbrt-unprod_binary64_14598 prod-exp_binary64_14614
associate-/r*_binary64_14514
associate-/r/_binary64_14516
associate-/l*_binary64_14515 div-exp_binary64_14616 pow-prod-down_binary64_14636 cbrt-undiv_binary64_14599
div-inv_binary64_14565 add-log-exp_binary64_14604 flip3--_binary64_14572 flip--_binary64_14543
associate-*l*_binary64_14511 frac-2neg_binary64_14579 clear-num_binary64_14567 *-commutative_binary64_14501 associate-*r/_binary64_14512
Counts
2 → 78
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
6.0ms
(/.f64 y (-.f64 x y))

series146.0ms (7%)

Counts
2 → 6
Calls

2 calls:

93.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
53.0ms
(/.f64 y (-.f64 x y))

simplify58.0ms (2.8%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049321139
149321139

prune55.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done011
Total84589

Merged error: 0.0b

Counts
89 → 5
Compiler

Compiled 1247 to 357 computations (71.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x y) y)
8.1b
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))

rewrite25.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
64×times-frac_binary64_14574
50×add-sqr-sqrt_binary64_14589 *-un-lft-identity_binary64_14568
30×add-cube-cbrt_binary64_14600
22×associate-/r*_binary64_14514
16×add-cbrt-cube_binary64_14601 add-exp-log_binary64_14603
10×difference-of-squares_binary64_14537 distribute-lft-out--_binary64_14522
div-exp_binary64_14616 cbrt-undiv_binary64_14599
associate-/l*_binary64_14515
div-inv_binary64_14565
pow1_binary64_14626 associate-/l/_binary64_14517 frac-2neg_binary64_14579 clear-num_binary64_14567 cbrt-unprod_binary64_14598 prod-exp_binary64_14614 add-log-exp_binary64_14604
associate-/r/_binary64_14516 div-sub_binary64_14573 flip3--_binary64_14572 flip--_binary64_14543
Counts
2 → 96
Calls

2 calls:

10.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
6.0ms
(/.f64 (-.f64 x y) y)

series134.0ms (6.4%)

Counts
2 → 6
Calls

2 calls:

92.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
42.0ms
(/.f64 (-.f64 x y) y)

simplify57.0ms (2.7%)

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
062081605

prune67.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1002102
Fresh202
Picked011
Done112
Total1034107

Merged error: 0b

Counts
107 → 4
Compiler

Compiled 1518 to 485 computations (68.1% saved)

regimes71.0ms (3.4%)

Compiler

Compiled 523 to 394 computations (24.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample622.0ms (29.9%)

Algorithm
intervals
Results
227.0ms8000×body128valid
Compiler

Compiled 221 to 164 computations (25.8% saved)

Profiling

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