Details

Time bar (total: 4.3s)

analyze887.0ms (20.7%)

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)

sample35.0ms (0.8%)

Algorithm
intervals
Results
11.0ms256×body128valid
9.0ms204×body128invalid
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify170.0ms (4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04922
14922

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.0b

Counts
2 → 1
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

21.4b
(/.f64 (*.f64 z z) (*.f64 t t))
21.9b
(/.f64 (*.f64 x x) (*.f64 y y))

rewrite19.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
26×add-cbrt-cube_binary64_11467 add-exp-log_binary64_11469
cbrt-unprod_binary64_11464 prod-exp_binary64_11480 cbrt-undiv_binary64_11465 div-exp_binary64_11482
associate-/r*_binary64_11375 times-frac_binary64_11437 associate-/l*_binary64_11376 frac-2neg_binary64_11442 add-cube-cbrt_binary64_11466 *-un-lft-identity_binary64_11431 add-log-exp_binary64_11470 add-sqr-sqrt_binary64_11453 clear-num_binary64_11430 pow1_binary64_11492 div-inv_binary64_11428
Counts
2 → 42
Calls

2 calls:

8.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
7.0ms
(/.f64 (*.f64 z z) (*.f64 t t))

series83.0ms (1.9%)

Counts
2 → 6
Calls

2 calls:

43.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
40.0ms
(/.f64 (*.f64 z z) (*.f64 t t))

simplify70.0ms (1.6%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05240398

prune222.0ms (5.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New351348
Fresh000
Picked101
Done000
Total361349

Merged error: 3.6b

Counts
49 → 13
Compiler

Compiled 3785 to 2535 computations (33% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
21.9b
(/.f64 (*.f64 x x) (*.f64 y y))

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube_binary64_11467 add-exp-log_binary64_11469
pow1_binary64_11492
add-sqr-sqrt_binary64_11453
add-cube-cbrt_binary64_11466 *-un-lft-identity_binary64_11431
cbrt-unprod_binary64_11464 prod-exp_binary64_11480
cbrt-undiv_binary64_11465 div-exp_binary64_11482
associate-*r*_binary64_11371 swap-sqr_binary64_11398 associate-*l*_binary64_11372
add-log-exp_binary64_11470
associate-/r*_binary64_11375 times-frac_binary64_11437 pow2_binary64_11512 pow-sqr_binary64_11404 associate-/l*_binary64_11376 unswap-sqr_binary64_11399 *-commutative_binary64_11362 frac-2neg_binary64_11442 pow-prod-up_binary64_11501 sqr-abs_binary64_11446 pow-plus_binary64_11494 pow-prod-down_binary64_11502 clear-num_binary64_11430 div-inv_binary64_11428
Counts
2 → 47
Calls

2 calls:

8.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
4.0ms
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

series62.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

37.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
25.0ms
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

simplify72.0ms (1.7%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05167408

prune198.0ms (4.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh5712
Picked101
Done000
Total541266

Merged error: 0.1b

Counts
66 → 12
Compiler

Compiled 3643 to 2266 computations (37.8% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64_11492
14×add-sqr-sqrt_binary64_11453
10×add-cube-cbrt_binary64_11466 *-un-lft-identity_binary64_11431
associate-*r*_binary64_11371 swap-sqr_binary64_11398 add-cbrt-cube_binary64_11467 add-exp-log_binary64_11469 associate-*l*_binary64_11372
cbrt-unprod_binary64_11464 pow2_binary64_11512 pow-sqr_binary64_11404 unswap-sqr_binary64_11399 *-commutative_binary64_11362 prod-exp_binary64_11480 pow-prod-up_binary64_11501 sqr-abs_binary64_11446 pow-plus_binary64_11494 pow-prod-down_binary64_11502 add-log-exp_binary64_11470
Counts
2 → 52
Calls

2 calls:

4.0ms
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
4.0ms
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

series59.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

31.0ms
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
28.0ms
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

simplify99.0ms (2.3%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
04940418
14940418

prune111.0ms (2.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New55358
Fresh11011
Picked011
Done000
Total561470

Merged error: 0.1b

Counts
70 → 14
Compiler

Compiled 2303 to 1077 computations (53.2% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (sqrt.f64 (fabs.f64 (/.f64 x y))) (pow.f64 (fabs.f64 (/.f64 x y)) 3/2))
0.3b
(pow.f64 (fabs.f64 (/.f64 x y)) 3/2)
0.3b
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
9.4b
(sqrt.f64 (fabs.f64 (/.f64 x y)))

rewrite26.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64_11453
15×add-cube-cbrt_binary64_11466 *-un-lft-identity_binary64_11431
14×pow1_binary64_11492
12×add-exp-log_binary64_11469
10×associate-*r*_binary64_11371
associate-*l*_binary64_11372 sqrt-prod_binary64_11447
add-cbrt-cube_binary64_11467 unpow-prod-down_binary64_11510
unswap-sqr_binary64_11399
sqr-pow_binary64_11403 prod-exp_binary64_11480 add-log-exp_binary64_11470
pow-unpow_binary64_11508 swap-sqr_binary64_11398 pow-prod-up_binary64_11501
sqrt-pow1_binary64_11449 cbrt-unprod_binary64_11464 pow-to-exp_binary64_11500 pow1/2_binary64_11511 *-commutative_binary64_11362 pow-exp_binary64_11499
pow-pow_binary64_11503 pow2_binary64_11512 pow-sqr_binary64_11404 sqr-abs_binary64_11446 rem-sqrt-square_binary64_11444 pow-plus_binary64_11494 pow-prod-down_binary64_11502
Counts
4 → 89
Calls

4 calls:

8.0ms
(*.f64 (sqrt.f64 (fabs.f64 (/.f64 x y))) (pow.f64 (fabs.f64 (/.f64 x y)) 3/2))
4.0ms
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
2.0ms
(pow.f64 (fabs.f64 (/.f64 x y)) 3/2)
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 x y)))

series159.0ms (3.7%)

Counts
4 → 12
Calls

4 calls:

80.0ms
(pow.f64 (fabs.f64 (/.f64 x y)) 3/2)
28.0ms
(sqrt.f64 (fabs.f64 (/.f64 x y)))
26.0ms
(*.f64 (sqrt.f64 (fabs.f64 (/.f64 x y))) (pow.f64 (fabs.f64 (/.f64 x y)) 3/2))
24.0ms
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

simplify60.0ms (1.4%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050361236

prune194.0ms (4.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New983101
Fresh11112
Picked011
Done011
Total9916115

Merged error: 0.0b

Counts
115 → 16
Compiler

Compiled 4341 to 1864 computations (57.1% saved)

regimes359.0ms (8.4%)

Compiler

Compiled 3747 to 2627 computations (29.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01330
11330

end0.0ms (0%)

sample1.3s (30.7%)

Algorithm
intervals
Results
352.0ms8000×body128valid
272.0ms5970×body128invalid
Compiler

Compiled 364 to 249 computations (31.6% saved)

Profiling

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