Details

Time bar (total: 5.4s)

analyze603.0ms (11.2%)

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
3.1%96.7%0.2%8
7.8%92%0.2%9
11.7%88.1%0.2%10
24.2%64.7%11.1%11
27.9%59.8%12.3%12
35%52.5%12.5%13
38.6%48.2%13.2%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
2.0ms61×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify164.0ms (3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03013
13013

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) z)
0.0b
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
0.1b
(*.f64 (+.f64 (*.f64 x y) z) y)

rewrite22.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_3483 add-sqr-sqrt_binary64_3468
*-un-lft-identity_binary64_3447 add-cube-cbrt_binary64_3479 add-cbrt-cube_binary64_3480 add-exp-log_binary64_3482 pow1_binary64_3505
flip-+_binary64_3421 flip3-+_binary64_3450 associate-*l*_binary64_3390 associate-*r*_binary64_3389
sum-log_binary64_3535 associate-*l/_binary64_3392 +-commutative_binary64_3379
cbrt-unprod_binary64_3477 *-commutative_binary64_3380 unswap-sqr_binary64_3415 pow-prod-down_binary64_3515 prod-exp_binary64_3493
Counts
3 → 42
Calls

3 calls:

8.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
7.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
4.0ms
(+.f64 (*.f64 x y) z)

series223.0ms (4.1%)

Counts
3 → 9
Calls

3 calls:

116.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
68.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
39.0ms
(+.f64 (*.f64 x y) z)

simplify55.0ms (1%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05040719

prune50.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New45651
Fresh000
Picked011
Done000
Total45752

Merged error: 0.0b

Counts
52 → 7
Compiler

Compiled 864 to 222 computations (74.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.5b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.5b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))

rewrite37.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3475
23×add-sqr-sqrt_binary64_3468
18×cbrt-div_binary64_3476
15×*-un-lft-identity_binary64_3447 add-cube-cbrt_binary64_3479
11×pow1_binary64_3505
flip-+_binary64_3421 flip3-+_binary64_3450 pow1/3_binary64_3526
swap-sqr_binary64_3414 associate-*l*_binary64_3390 add-exp-log_binary64_3482 associate-*r*_binary64_3389
add-log-exp_binary64_3483 add-cbrt-cube_binary64_3480 frac-times_binary64_3457 unswap-sqr_binary64_3415
associate-*l/_binary64_3392 associate-*r/_binary64_3391 pow-sqr_binary64_3420 pow-prod-down_binary64_3515 pow-prod-up_binary64_3514
cbrt-unprod_binary64_3477 pow-plus_binary64_3507 pow2_binary64_3525 *-commutative_binary64_3380 prod-exp_binary64_3493
Counts
4 → 87
Calls

4 calls:

13.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

series850.0ms (15.8%)

Counts
4 → 12
Calls

4 calls:

246.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
207.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
201.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
196.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify60.0ms (1.1%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
052021777

prune107.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh145
Picked011
Done011
Total988106

Merged error: 0.0b

Counts
106 → 8
Compiler

Compiled 3095 to 776 computations (74.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3475
23×add-sqr-sqrt_binary64_3468
15×*-un-lft-identity_binary64_3447 add-cube-cbrt_binary64_3479
11×pow1_binary64_3505
pow1/3_binary64_3526
swap-sqr_binary64_3414 associate-*l*_binary64_3390 add-exp-log_binary64_3482 associate-*r*_binary64_3389
add-log-exp_binary64_3483 add-cbrt-cube_binary64_3480 unswap-sqr_binary64_3415
pow-sqr_binary64_3420 pow-prod-down_binary64_3515 pow-prod-up_binary64_3514
cbrt-unprod_binary64_3477 pow-plus_binary64_3507 pow2_binary64_3525 *-commutative_binary64_3380 prod-exp_binary64_3493
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series654.0ms (12.1%)

Counts
4 → 12
Calls

4 calls:

195.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
154.0ms
(cbrt.f64 y)
153.0ms
(cbrt.f64 y)
152.0ms
(cbrt.f64 y)

simplify71.0ms (1.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04957563
14957563

prune76.0ms (1.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh055
Picked011
Done022
Total84993

Merged error: 0.0b

Counts
93 → 9
Compiler

Compiled 1745 to 526 computations (69.9% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z))) 2)
0.6b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
0.6b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
0.6b
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

rewrite37.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod_binary64_3475
21×unpow-prod-down_binary64_3523
16×*-un-lft-identity_binary64_3447 add-cube-cbrt_binary64_3479 add-sqr-sqrt_binary64_3468
pow-unpow_binary64_3521
add-exp-log_binary64_3482 pow1_binary64_3505
pow-pow_binary64_3516
add-log-exp_binary64_3483 cbrt-div_binary64_3476 add-cbrt-cube_binary64_3480 pow1/3_binary64_3526
unpow2_binary64_3509 pow-exp_binary64_3512 pow-to-exp_binary64_3513 sqr-pow_binary64_3419
flip-+_binary64_3421 flip3-+_binary64_3450
Counts
4 → 85
Calls

4 calls:

7.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z))) 2)
7.0ms
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
6.0ms
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
5.0ms
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

series1.1s (21.1%)

Counts
4 → 12
Calls

4 calls:

317.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z))) 2)
317.0ms
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
306.0ms
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
197.0ms
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

simplify65.0ms (1.2%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051231562

prune155.0ms (2.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New96197
Fresh055
Picked011
Done033
Total9610106

Merged error: 0.0b

Counts
106 → 10
Compiler

Compiled 4355 to 1513 computations (65.3% saved)

regimes145.0ms (2.7%)

Compiler

Compiled 1612 to 902 computations (44% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample793.0ms (14.7%)

Algorithm
intervals
Results
257.0ms8000×body128valid
62.0ms1831×body128invalid
Compiler

Compiled 281 to 161 computations (42.7% saved)

Profiling

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