Details

Time bar (total: 2.7s)

analyze3.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample24.0ms (0.9%)

Algorithm
intervals
Results
10.0ms256×pre128true
6.0ms256×body128valid
Compiler

Compiled 31 to 31 computations (0% saved)

simplify166.0ms (6.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04310
14310

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 a (+.f64 (+.f64 b c) d))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_2436
add-sqr-sqrt_binary64_2457 associate-*r*_binary64_2378
distribute-lft-out_binary64_2389 add-exp-log_binary64_2471 add-cube-cbrt_binary64_2468 add-cbrt-cube_binary64_2469 pow1_binary64_2494 associate-*l*_binary64_2379
associate-*r/_binary64_2380
flip3-+_binary64_2439 prod-exp_binary64_2482 flip-+_binary64_2410 distribute-rgt-in_binary64_2388 *-commutative_binary64_2369 pow-prod-down_binary64_2504 add-log-exp_binary64_2472 cbrt-unprod_binary64_2466 unswap-sqr_binary64_2404 distribute-lft-in_binary64_2387
Counts
1 → 24
Calls

1 calls:

10.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

series57.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

57.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

simplify73.0ms (2.7%)

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05168312

prune21.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done000
Total24428

Merged error: 0.0b

Counts
28 → 4
Compiler

Compiled 359 to 95 computations (73.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 a (+.f64 b c))
0.1b
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))

rewrite16.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_2457 *-un-lft-identity_binary64_2436
add-log-exp_binary64_2472 add-exp-log_binary64_2471 add-cube-cbrt_binary64_2468 add-cbrt-cube_binary64_2469 associate-*r*_binary64_2378 pow1_binary64_2494
associate-*l*_binary64_2379
flip3-+_binary64_2439 distribute-lft-out_binary64_2389 flip-+_binary64_2410 distribute-rgt-in_binary64_2388 associate-*r/_binary64_2380 associate-+l+_binary64_2371 distribute-lft-in_binary64_2387
prod-exp_binary64_2482 *-commutative_binary64_2369 pow-prod-down_binary64_2504 sum-log_binary64_2524 cbrt-unprod_binary64_2466 unswap-sqr_binary64_2404 +-commutative_binary64_2368
Counts
2 → 37
Calls

2 calls:

7.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
6.0ms
(*.f64 a (+.f64 b c))

series117.0ms (4.4%)

Counts
2 → 6
Calls

2 calls:

66.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
50.0ms
(*.f64 a (+.f64 b c))

simplify49.0ms (1.8%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04995471
14995471

prune29.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh022
Picked101
Done011
Total42547

Merged error: 0b

Counts
47 → 5
Compiler

Compiled 614 to 171 computations (72.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(+.f64 (*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c)))) (*.f64 a d))
0.1b
(sqrt.f64 (*.f64 a (+.f64 b c)))
0.1b
(sqrt.f64 (*.f64 a (+.f64 b c)))
0.5b
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))))

rewrite51.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
59×pow1_binary64_2494
32×sqrt-pow1_binary64_2453
22×pow-prod-down_binary64_2504
18×associate-*r/_binary64_2380
16×sqrt-div_binary64_2452
12×pow1/2_binary64_2513
10×add-sqr-sqrt_binary64_2457 pow-prod-up_binary64_2503
flip3-+_binary64_2439 flip-+_binary64_2410
add-cube-cbrt_binary64_2468 *-un-lft-identity_binary64_2436
add-log-exp_binary64_2472 add-exp-log_binary64_2471 add-cbrt-cube_binary64_2469 sqrt-prod_binary64_2451 pow-sqr_binary64_2409
swap-sqr_binary64_2403 associate-*r*_binary64_2378 associate-*l*_binary64_2379 frac-times_binary64_2446
associate-*l/_binary64_2381
prod-exp_binary64_2482 *-commutative_binary64_2369 pow2_binary64_2514 sqrt-unprod_binary64_2455 sum-log_binary64_2524 cbrt-unprod_binary64_2466 unswap-sqr_binary64_2404 +-commutative_binary64_2368 pow-plus_binary64_2496 rem-square-sqrt_binary64_2448
Counts
4 → 94
Calls

4 calls:

16.0ms
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))))
16.0ms
(+.f64 (*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c)))) (*.f64 a d))
5.0ms
(sqrt.f64 (*.f64 a (+.f64 b c)))
5.0ms
(sqrt.f64 (*.f64 a (+.f64 b c)))

series284.0ms (10.6%)

Counts
4 → 12
Calls

4 calls:

77.0ms
(sqrt.f64 (*.f64 a (+.f64 b c)))
76.0ms
(+.f64 (*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c)))) (*.f64 a d))
72.0ms
(sqrt.f64 (*.f64 a (+.f64 b c)))
60.0ms
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))))

simplify65.0ms (2.4%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050131274

prune79.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh033
Picked011
Done011
Total1065111

Merged error: 0b

Counts
111 → 5
Compiler

Compiled 1928 to 458 computations (76.2% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 (+.f64 b c) (sqrt.f64 a))) (*.f64 a d))
0.3b
(*.f64 (+.f64 b c) (sqrt.f64 a))
0.3b
(*.f64 (sqrt.f64 a) (*.f64 (+.f64 b c) (sqrt.f64 a)))

rewrite34.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_2457
10×add-exp-log_binary64_2471 add-cbrt-cube_binary64_2469 *-un-lft-identity_binary64_2436 pow1_binary64_2494 associate-*l*_binary64_2379
add-cube-cbrt_binary64_2468
associate-*r*_binary64_2378 sqrt-prod_binary64_2451
add-log-exp_binary64_2472
prod-exp_binary64_2482 pow-prod-down_binary64_2504 cbrt-unprod_binary64_2466 associate-*l/_binary64_2381
flip3-+_binary64_2439 flip-+_binary64_2410
*-commutative_binary64_2369 associate-*r/_binary64_2380 unswap-sqr_binary64_2404
distribute-lft-out_binary64_2389 sum-log_binary64_2524 +-commutative_binary64_2368
Counts
3 → 59
Calls

3 calls:

11.0ms
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 (+.f64 b c) (sqrt.f64 a))) (*.f64 a d))
11.0ms
(*.f64 (sqrt.f64 a) (*.f64 (+.f64 b c) (sqrt.f64 a)))
8.0ms
(*.f64 (+.f64 b c) (sqrt.f64 a))

series295.0ms (11.1%)

Counts
3 → 9
Calls

3 calls:

125.0ms
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 (+.f64 b c) (sqrt.f64 a))) (*.f64 a d))
100.0ms
(*.f64 (+.f64 b c) (sqrt.f64 a))
69.0ms
(*.f64 (sqrt.f64 a) (*.f64 (+.f64 b c) (sqrt.f64 a)))

simplify59.0ms (2.2%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05012846

prune43.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done022
Total68573

Merged error: 0b

Counts
73 → 5
Compiler

Compiled 1088 to 259 computations (76.2% saved)

regimes222.0ms (8.3%)

Compiler

Compiled 1812 to 1252 computations (30.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample931.0ms (34.9%)

Algorithm
intervals
Results
308.0ms8000×pre128true
211.0ms8000×body128valid
Compiler

Compiled 239 to 171 computations (28.5% saved)

Profiling

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