Details

Time bar (total: 4.9s)

analyze918.0ms (18.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14
Compiler

Compiled 16 to 12 computations (25% saved)

sample38.0ms (0.8%)

Algorithm
intervals
Results
11.0ms256×body128valid
8.0ms190×body128invalid
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify166.0ms (3.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04922
14922

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.9b

Counts
2 → 1
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
20.7b
(/.f64 (*.f64 x x) (*.f64 y y))
20.9b
(/.f64 (*.f64 z z) (*.f64 t t))

rewrite33.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
27×add-exp-log_binary64_10559 add-cbrt-cube_binary64_10557
prod-exp_binary64_10570 cbrt-unprod_binary64_10554 div-exp_binary64_10572 cbrt-undiv_binary64_10555
*-un-lft-identity_binary64_10524 add-log-exp_binary64_10560
pow1_binary64_10582 add-sqr-sqrt_binary64_10545 add-cube-cbrt_binary64_10556
associate-/l*_binary64_10471 times-frac_binary64_10530 frac-2neg_binary64_10535 clear-num_binary64_10523 associate-/r*_binary64_10470 div-inv_binary64_10521
+-commutative_binary64_10456 frac-add_binary64_10532 distribute-lft-out_binary64_10477 sum-log_binary64_10612 flip3-+_binary64_10527 flip-+_binary64_10498
Counts
3 → 55
Calls

3 calls:

14.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
7.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
7.0ms
(/.f64 (*.f64 x x) (*.f64 y y))

series230.0ms (4.7%)

Counts
3 → 9
Calls

3 calls:

154.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
38.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
38.0ms
(/.f64 (*.f64 z z) (*.f64 t t))

simplify61.0ms (1.2%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05280879

prune76.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New511364
Fresh000
Picked101
Done000
Total521365

Merged error: 3.8b

Counts
65 → 13
Compiler

Compiled 1374 to 371 computations (73% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
0.3b
(*.f64 (/.f64 z t) (/.f64 z t))
20.7b
(/.f64 (*.f64 x x) (*.f64 y y))

rewrite42.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt_binary64_10545
41×times-frac_binary64_10530
31×*-un-lft-identity_binary64_10524 add-cube-cbrt_binary64_10556
27×add-exp-log_binary64_10559 add-cbrt-cube_binary64_10557
13×swap-sqr_binary64_10491 associate-*l*_binary64_10467 associate-*r*_binary64_10466
10×pow1_binary64_10582
prod-exp_binary64_10570 cbrt-unprod_binary64_10554 div-exp_binary64_10572 cbrt-undiv_binary64_10555
add-log-exp_binary64_10560 div-inv_binary64_10521
unswap-sqr_binary64_10492
frac-add_binary64_10532
associate-*r/_binary64_10468 frac-times_binary64_10534 associate-*l/_binary64_10469
pow-plus_binary64_10584 pow-prod-down_binary64_10592 pow2_binary64_10602 +-commutative_binary64_10456 *-commutative_binary64_10457 associate-/l*_binary64_10471 frac-2neg_binary64_10535 pow-sqr_binary64_10497 clear-num_binary64_10523 sum-log_binary64_10612 flip3-+_binary64_10527 associate-/r*_binary64_10470 flip-+_binary64_10498 pow-prod-up_binary64_10591
Counts
3 → 102
Calls

3 calls:

12.0ms
(*.f64 (/.f64 z t) (/.f64 z t))
9.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
7.0ms
(/.f64 (*.f64 x x) (*.f64 y y))

series227.0ms (4.6%)

Counts
3 → 9
Calls

3 calls:

151.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
40.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
36.0ms
(*.f64 (/.f64 z t) (/.f64 z t))

simplify76.0ms (1.5%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049301446
149301446

prune105.0ms (2.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1038111
Fresh6612
Picked101
Done000
Total11014124

Merged error: 0.1b

Counts
124 → 14
Compiler

Compiled 2312 to 645 computations (72.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 z t) (/.f64 z t)))
0.3b
(*.f64 (/.f64 x y) (/.f64 x y))
0.3b
(*.f64 (/.f64 z t) (/.f64 z t))

rewrite49.0ms (1%)

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt_binary64_10545
80×times-frac_binary64_10530
59×*-un-lft-identity_binary64_10524 add-cube-cbrt_binary64_10556
27×add-exp-log_binary64_10559 add-cbrt-cube_binary64_10557
26×swap-sqr_binary64_10491 associate-*l*_binary64_10467 associate-*r*_binary64_10466
17×pow1_binary64_10582
frac-add_binary64_10532
prod-exp_binary64_10570 cbrt-unprod_binary64_10554 div-exp_binary64_10572 associate-*r/_binary64_10468 unswap-sqr_binary64_10492 frac-times_binary64_10534 cbrt-undiv_binary64_10555 associate-*l/_binary64_10469 div-inv_binary64_10521
add-log-exp_binary64_10560
pow-plus_binary64_10584 pow-prod-down_binary64_10592 pow2_binary64_10602 *-commutative_binary64_10457 pow-sqr_binary64_10497 pow-prod-up_binary64_10591
+-commutative_binary64_10456 sum-log_binary64_10612 flip3-+_binary64_10527 flip-+_binary64_10498
Counts
3 → 154
Calls

3 calls:

11.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
11.0ms
(*.f64 (/.f64 z t) (/.f64 z t))
9.0ms
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 z t) (/.f64 z t)))

series230.0ms (4.7%)

Counts
3 → 9
Calls

3 calls:

146.0ms
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 z t) (/.f64 z t)))
46.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
39.0ms
(*.f64 (/.f64 z t) (/.f64 z t))

simplify69.0ms (1.4%)

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049572179
149572179

prune157.0ms (3.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New15310163
Fresh7613
Picked101
Done000
Total16116177

Merged error: 0.0b

Counts
177 → 16
Compiler

Compiled 3386 to 931 computations (72.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)
0.8b
(*.f64 (*.f64 x (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y)) (/.f64 (cbrt.f64 x) y))

rewrite30.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
36×add-exp-log_binary64_10559
28×add-cbrt-cube_binary64_10557
22×associate-*r*_binary64_10466
20×add-sqr-sqrt_binary64_10545 *-un-lft-identity_binary64_10524 add-cube-cbrt_binary64_10556
18×cbrt-prod_binary64_10552 times-frac_binary64_10530
16×prod-exp_binary64_10570 cbrt-unprod_binary64_10554
pow1_binary64_10582
div-exp_binary64_10572 cbrt-undiv_binary64_10555
add-log-exp_binary64_10560
pow-prod-down_binary64_10592 pow1/3_binary64_10603 associate-*r/_binary64_10468
*-commutative_binary64_10457 associate-*l*_binary64_10467 frac-times_binary64_10534 associate-*l/_binary64_10469 div-inv_binary64_10521
Counts
4 → 85
Calls

4 calls:

16.0ms
(*.f64 (*.f64 x (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y)) (/.f64 (cbrt.f64 x) y))
2.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series512.0ms (10.4%)

Counts
4 → 12
Calls

4 calls:

151.0ms
(cbrt.f64 x)
148.0ms
(cbrt.f64 x)
138.0ms
(cbrt.f64 x)
75.0ms
(*.f64 (*.f64 x (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y)) (/.f64 (cbrt.f64 x) y))

simplify87.0ms (1.8%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049261006
149261006

prune79.0ms (1.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New96197
Fresh11415
Picked101
Done000
Total9815113

Merged error: 0.0b

Counts
113 → 15
Compiler

Compiled 2207 to 494 computations (77.6% saved)

regimes375.0ms (7.6%)

Compiler

Compiled 2958 to 2130 computations (28% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03886
13886

end0.0ms (0%)

sample1.3s (26.6%)

Algorithm
intervals
Results
363.0ms8000×body128valid
271.0ms6112×body128invalid
Compiler

Compiled 345 to 237 computations (31.3% saved)

Profiling

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