Details

Time bar (total: 14.2s)

analyze1.8s (12.6%)

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
0%99.8%0.2%9
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.3%0.2%12
12.2%87.5%0.2%13
21.9%77.7%0.4%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample35.0ms (0.2%)

Algorithm
intervals
Results
11.0ms209×body128valid
3.0ms19×body512valid
2.0ms11×body1024valid
2.0ms34×body128invalid
2.0ms15×body256valid
1.0msbody2048valid
Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify289.0ms (2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
0508419

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.5b

Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 t x) (-.f64 a z))
4.0b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
5.6b
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite66.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt_binary64_2487
73×*-un-lft-identity_binary64_2465
51×times-frac_binary64_2471
31×associate-*r*_binary64_2405
27×add-cube-cbrt_binary64_2500
23×difference-of-squares_binary64_2434 distribute-lft-out--_binary64_2417
10×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
add-log-exp_binary64_2504 associate-/r*_binary64_2409 flip--_binary64_2440 pow1_binary64_2526 flip3--_binary64_2469 associate-/l*_binary64_2410 associate-*l*_binary64_2406
associate-/r/_binary64_2411
associate-*l/_binary64_2408 frac-times_binary64_2475 associate-/l/_binary64_2412 cbrt-undiv_binary64_2499 unswap-sqr_binary64_2433 div-exp_binary64_2516 div-inv_binary64_2462 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
flip3-+_binary64_2468 *-commutative_binary64_2396 +-commutative_binary64_2395 sum-log_binary64_2556 flip-+_binary64_2439 associate-*r/_binary64_2407 clear-num_binary64_2464 div-sub_binary64_2470 frac-2neg_binary64_2476 pow-prod-down_binary64_2536
Counts
3 → 119
Calls

3 calls:

30.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
14.0ms
(/.f64 (-.f64 t x) (-.f64 a z))
9.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

series1.2s (8.6%)

Counts
3 → 9
Calls

3 calls:

628.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
452.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
146.0ms
(/.f64 (-.f64 t x) (-.f64 a z))

simplify85.0ms (0.6%)

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
055582420

prune169.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New11711128
Fresh000
Picked011
Done000
Total11712129

Merged error: 5.5b

Counts
129 → 12
Compiler

Compiled 2879 to 634 computations (78% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 t x))
0.6b
(*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
0.6b
(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
10.6b
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

rewrite109.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_2487
33×*-un-lft-identity_binary64_2465 cbrt-prod_binary64_2496
26×cbrt-div_binary64_2497
24×add-exp-log_binary64_2503
21×associate-*r*_binary64_2405
15×flip--_binary64_2440 add-cube-cbrt_binary64_2500 flip3--_binary64_2469
14×add-cbrt-cube_binary64_2501
13×pow1_binary64_2526 associate-*l*_binary64_2406
10×frac-times_binary64_2475 swap-sqr_binary64_2432 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
distribute-lft-out--_binary64_2417 associate-/r/_binary64_2411
pow1/3_binary64_2547
associate-*l/_binary64_2408 difference-of-squares_binary64_2434 add-log-exp_binary64_2504 unswap-sqr_binary64_2433
associate-*r/_binary64_2407
cbrt-undiv_binary64_2499 div-exp_binary64_2516
pow-prod-down_binary64_2536
*-commutative_binary64_2396 times-frac_binary64_2471 pow-sqr_binary64_2438 pow-prod-up_binary64_2535
flip3-+_binary64_2468 +-commutative_binary64_2395 pow-plus_binary64_2528 sum-log_binary64_2556 flip-+_binary64_2439 div-inv_binary64_2462 pow2_binary64_2546
Counts
4 → 126
Calls

4 calls:

34.0ms
(*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
25.0ms
(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
7.0ms
(cbrt.f64 (-.f64 t x))
6.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

series2.6s (18.5%)

Counts
4 → 12
Calls

4 calls:

1.4s
(*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
656.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
300.0ms
(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
232.0ms
(cbrt.f64 (-.f64 t x))

simplify170.0ms (1.2%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (119.0ms)

IterNodesCost
049483266
149483266

prune206.0ms (1.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1371138
Fresh01010
Picked011
Done011
Total13713150

Merged error: 5.5b

Counts
150 → 13
Compiler

Compiled 5715 to 1234 computations (78.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 a z))
0.6b
(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
1.6b
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
8.4b
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))

rewrite122.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt_binary64_2487
78×*-un-lft-identity_binary64_2465
60×cbrt-prod_binary64_2496
54×associate-*r*_binary64_2405
52×times-frac_binary64_2471
34×add-cube-cbrt_binary64_2500
28×cbrt-div_binary64_2497
27×add-exp-log_binary64_2503
25×associate-*l*_binary64_2406
21×distribute-lft-out--_binary64_2417
19×difference-of-squares_binary64_2434
18×add-cbrt-cube_binary64_2501
14×flip--_binary64_2440 flip3--_binary64_2469
13×pow1_binary64_2526
10×swap-sqr_binary64_2432 unswap-sqr_binary64_2433 associate-/r/_binary64_2411
frac-times_binary64_2475 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
cbrt-undiv_binary64_2499 pow1/3_binary64_2547 div-exp_binary64_2516
add-log-exp_binary64_2504
associate-*l/_binary64_2408 associate-*r/_binary64_2407
pow-prod-down_binary64_2536
*-commutative_binary64_2396 div-inv_binary64_2462 pow-sqr_binary64_2438 pow-prod-up_binary64_2535
flip3-+_binary64_2468 +-commutative_binary64_2395 pow-plus_binary64_2528 sum-log_binary64_2556 flip-+_binary64_2439 pow2_binary64_2546
Counts
4 → 175
Calls

4 calls:

68.0ms
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
16.0ms
(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
9.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
3.0ms
(cbrt.f64 (-.f64 a z))

series2.2s (15.6%)

Counts
4 → 12
Calls

4 calls:

891.0ms
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
724.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
310.0ms
(cbrt.f64 (-.f64 a z))
288.0ms
(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))

simplify97.0ms (0.7%)

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
057124478

prune275.0ms (1.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1852187
Fresh1910
Picked101
Done022
Total18713200

Merged error: 5.5b

Counts
200 → 13
Compiler

Compiled 5779 to 1393 computations (75.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 y z) (-.f64 a z))
2.3b
(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
2.6b
(+.f64 x (pow.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z))) 1))

rewrite84.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt_binary64_2487
75×*-un-lft-identity_binary64_2465
51×times-frac_binary64_2471
31×associate-*r*_binary64_2405
27×add-cube-cbrt_binary64_2500
23×difference-of-squares_binary64_2434 distribute-lft-out--_binary64_2417
10×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
add-log-exp_binary64_2504 associate-/r*_binary64_2409 flip--_binary64_2440 pow1_binary64_2526 flip3--_binary64_2469 associate-/l*_binary64_2410 associate-*l*_binary64_2406
associate-/r/_binary64_2411
associate-*l/_binary64_2408 frac-times_binary64_2475 associate-/l/_binary64_2412 cbrt-undiv_binary64_2499 unswap-sqr_binary64_2433 div-exp_binary64_2516 div-inv_binary64_2462 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
flip3-+_binary64_2468 *-commutative_binary64_2396 +-commutative_binary64_2395 sum-log_binary64_2556 flip-+_binary64_2439 associate-*r/_binary64_2407 clear-num_binary64_2464 div-sub_binary64_2470 frac-2neg_binary64_2476 pow-prod-down_binary64_2536 distribute-lft-out_binary64_2416
Counts
3 → 120
Calls

3 calls:

33.0ms
(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
19.0ms
(/.f64 (-.f64 y z) (-.f64 a z))
5.0ms
(+.f64 x (pow.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z))) 1))

series1.2s (8.5%)

Counts
3 → 9
Calls

3 calls:

645.0ms
(+.f64 x (pow.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z))) 1))
423.0ms
(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
135.0ms
(/.f64 (-.f64 y z) (-.f64 a z))

simplify134.0ms (0.9%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049742424
149742424

prune139.0ms (1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1272129
Fresh2810
Picked011
Done022
Total12913142

Merged error: 5.5b

Counts
142 → 13
Compiler

Compiled 2864 to 731 computations (74.5% saved)

regimes1.0s (7.4%)

Compiler

Compiled 7826 to 4968 computations (36.5% saved)

bsearch5.0ms (0%)

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07285
17285

end0.0ms (0%)

sample2.0s (14.4%)

Algorithm
intervals
Results
350.0ms6752×body128valid
70.0ms385×body1024valid
63.0ms1222×body128invalid
61.0ms467×body512valid
33.0ms330×body256valid
15.0ms66×body2048valid
Compiler

Compiled 1353 to 849 computations (37.3% saved)

Profiling

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