Details

Time bar (total: 2.4s)

analyze77.0ms (3.2%)

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
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms13×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify169.0ms (6.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01210
11210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.3b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.2b
(/.f64 x (*.f64 y y))

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_12579 add-exp-log_binary64_12581
times-frac_binary64_12552 *-un-lft-identity_binary64_12546 associate-/l*_binary64_12493 add-cube-cbrt_binary64_12578 add-sqr-sqrt_binary64_12567
cbrt-undiv_binary64_12577 div-exp_binary64_12594
prod-exp_binary64_12592 div-inv_binary64_12543 pow1_binary64_12604 clear-num_binary64_12545 add-log-exp_binary64_12582 associate-/r*_binary64_12492 frac-2neg_binary64_12557 cbrt-unprod_binary64_12576
Counts
1 → 21
Calls

1 calls:

6.0ms
(/.f64 x (*.f64 y y))

series34.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

34.0ms
(/.f64 x (*.f64 y y))

simplify111.0ms (4.5%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
04760223
14760223

prune21.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New20424
Fresh000
Picked011
Done000
Total20525

Merged error: 0.0b

Counts
25 → 5
Compiler

Compiled 283 to 133 computations (53% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 y (/.f64 x y))
0.8b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite60.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64_12552
229×*-un-lft-identity_binary64_12546 add-cube-cbrt_binary64_12578 add-sqr-sqrt_binary64_12567
57×associate-/r*_binary64_12492
28×add-exp-log_binary64_12581
22×div-inv_binary64_12543
18×div-exp_binary64_12594
16×add-cbrt-cube_binary64_12579
cbrt-undiv_binary64_12577
associate-/r/_binary64_12494 associate-/l*_binary64_12493
1-exp_binary64_12587 rec-exp_binary64_12593 pow1_binary64_12604
clear-num_binary64_12545 add-log-exp_binary64_12582 frac-2neg_binary64_12557
inv-pow_binary64_12628 pow-flip_binary64_12617
Counts
2 → 274
Calls

2 calls:

15.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
7.0ms
(/.f64 y (/.f64 x y))

series56.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

30.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
26.0ms
(/.f64 y (/.f64 x y))

simplify181.0ms (7.4%)

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
048925163
148925163

prune342.0ms (14%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2782280
Fresh213
Picked011
Done011
Total2805285

Merged error: 0b

Counts
285 → 5
Compiler

Compiled 4735 to 1797 computations (62% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite27.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64_12567
25×times-frac_binary64_12552
23×add-exp-log_binary64_12581
17×*-un-lft-identity_binary64_12546
15×add-cube-cbrt_binary64_12578
13×add-cbrt-cube_binary64_12579 associate-*r*_binary64_12488 associate-*l*_binary64_12489
prod-exp_binary64_12592 div-exp_binary64_12594
unswap-sqr_binary64_12514
cbrt-undiv_binary64_12577 cbrt-unprod_binary64_12576
pow1_binary64_12604
1-exp_binary64_12587 rec-exp_binary64_12593 div-inv_binary64_12543
associate-*l/_binary64_12491 pow-prod-down_binary64_12614 associate-*r/_binary64_12490 *-commutative_binary64_12479 frac-times_binary64_12556 add-log-exp_binary64_12582
Counts
1 → 56
Calls

1 calls:

19.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

series42.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

42.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

simplify133.0ms (5.5%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
04927614
14927614

prune59.0ms (2.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done022
Total59564

Merged error: 0b

Counts
64 → 5
Compiler

Compiled 766 to 355 computations (53.7% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 y (/.f64 y x))
0.8b
(/.f64 1 (*.f64 y (/.f64 y x)))

rewrite32.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64_12581
17×add-sqr-sqrt_binary64_12567
16×add-cbrt-cube_binary64_12579
13×times-frac_binary64_12552 associate-*r*_binary64_12488
12×*-un-lft-identity_binary64_12546 add-cube-cbrt_binary64_12578
10×div-exp_binary64_12594
prod-exp_binary64_12592
pow1_binary64_12604
cbrt-undiv_binary64_12577
cbrt-unprod_binary64_12576
1-exp_binary64_12587 rec-exp_binary64_12593 associate-/l*_binary64_12493 associate-*l*_binary64_12489
unswap-sqr_binary64_12514 pow-prod-down_binary64_12614 associate-*r/_binary64_12490 div-inv_binary64_12543 pow-flip_binary64_12617 add-log-exp_binary64_12582
associate-/r/_binary64_12494 inv-pow_binary64_12628 *-commutative_binary64_12479 clear-num_binary64_12545 associate-/r*_binary64_12492 frac-2neg_binary64_12557
Counts
2 → 65
Calls

2 calls:

14.0ms
(*.f64 y (/.f64 y x))
11.0ms
(/.f64 1 (*.f64 y (/.f64 y x)))

series89.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

49.0ms
(/.f64 1 (*.f64 y (/.f64 y x)))
39.0ms
(*.f64 y (/.f64 y x))

simplify165.0ms (6.8%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (147.0ms)

IterNodesCost
04870632
14870632

prune70.0ms (2.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New71071
Fresh011
Picked011
Done033
Total71576

Merged error: 0b

Counts
76 → 5
Compiler

Compiled 830 to 380 computations (54.2% saved)

regimes92.0ms (3.8%)

Compiler

Compiled 319 to 274 computations (14.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01913
11913

end0.0ms (0%)

sample629.0ms (25.7%)

Algorithm
intervals
Results
344.0ms8000×body128valid
14.0ms406×body128invalid
Compiler

Compiled 81 to 71 computations (12.3% saved)

Profiling

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