Details

Time bar (total: 3.5s)

analyze262.0ms (7.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
46.8%44.5%8.7%10
51.5%39%9.5%11
57.3%32.6%10.1%12
63.8%21.6%14.7%13
66.2%18.7%15.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample17.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms28×body80invalid
Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify153.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0147
1147

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite206.0ms (5.8%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
associate-*l*_binary64
pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 flip-+_binary64 *-commutative_binary64
Counts
1 → 22
Calls

1 calls:

199.0ms
(*.f64 (+.f64 x y) z)

series67.0ms (1.9%)

Counts
1 → 3
Calls

1 calls:

67.0ms
(*.f64 (+.f64 x y) z)

simplify115.0ms (3.2%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
05300232

prune19.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New22325
Fresh000
Picked011
Done000
Total22426

Merged error: 0b

Counts
26 → 4
Compiler

Compiled 271 to 91 computations (66.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) (cbrt.f64 (*.f64 (+.f64 x y) z)))
4.7b
(cbrt.f64 (*.f64 (+.f64 x y) z))
4.7b
(cbrt.f64 (*.f64 (+.f64 x y) z))
4.7b
(cbrt.f64 (*.f64 (+.f64 x y) z))

rewrite28.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
20×associate-*l/_binary64
18×cbrt-div_binary64
11×pow1_binary64
10×add-sqr-sqrt_binary64
flip3-+_binary64 pow1/3_binary64 flip-+_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
cbrt-prod_binary64
add-exp-log_binary64
add-log-exp_binary64 swap-sqr_binary64 associate-*r*_binary64 add-cbrt-cube_binary64 associate-*l*_binary64 insert-posit16 frac-times_binary64
pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 unswap-sqr_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 76
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) (cbrt.f64 (*.f64 (+.f64 x y) z)))
6.0ms
(cbrt.f64 (*.f64 (+.f64 x y) z))
6.0ms
(cbrt.f64 (*.f64 (+.f64 x y) z))
6.0ms
(cbrt.f64 (*.f64 (+.f64 x y) z))

series956.0ms (27.1%)

Counts
4 → 12
Calls

4 calls:

287.0ms
(*.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) (cbrt.f64 (*.f64 (+.f64 x y) z)))
229.0ms
(cbrt.f64 (*.f64 (+.f64 x y) z))
227.0ms
(cbrt.f64 (*.f64 (+.f64 x y) z))
213.0ms
(cbrt.f64 (*.f64 (+.f64 x y) z))

simplify158.0ms (4.5%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
048931367
148931367

prune75.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh022
Picked011
Done011
Total88492

Merged error: 0b

Counts
92 → 4
Compiler

Compiled 2144 to 447 computations (79.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (+.f64 x y) z)
0.4b
(pow.f64 (*.f64 (+.f64 x y) z) 3)
27.4b
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))

rewrite21.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cbrt-prod_binary64
add-cube-cbrt_binary64
associate-*l/_binary64
associate-*l*_binary64 cube-div_binary64
flip3-+_binary64 pow-unpow_binary64 add-log-exp_binary64 associate-*r*_binary64 insert-posit16 flip-+_binary64
cbrt-div_binary64 pow-prod-down_binary64 cbrt-unprod_binary64 pow-pow_binary64 sqr-pow_binary64 rem-cube-cbrt_binary64 unpow-prod-down_binary64 prod-exp_binary64 cube-prod_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64
pow-to-exp_binary64 rem-cbrt-cube_binary64 distribute-lft-out_binary64 pow1/3_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 67
Calls

3 calls:

8.0ms
(pow.f64 (*.f64 (+.f64 x y) z) 3)
8.0ms
(*.f64 (+.f64 x y) z)
3.0ms
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))

series184.0ms (5.2%)

Counts
3 → 9
Calls

3 calls:

82.0ms
(pow.f64 (*.f64 (+.f64 x y) z) 3)
53.0ms
(*.f64 (+.f64 x y) z)
49.0ms
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))

simplify116.0ms (3.3%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
05074874

prune51.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done022
Total76480

Merged error: 0b

Counts
80 → 4
Compiler

Compiled 932 to 373 computations (60% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

4.3b
(-.f64 (*.f64 x x) (*.f64 y y))
12.8b
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
15.8b
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))

rewrite29.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 times-frac_binary64
flip3--_binary64 associate-*r*_binary64 associate-*r/_binary64 difference-of-squares_binary64 flip--_binary64
sub-neg_binary64 associate-*l*_binary64 insert-posit16
associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 distribute-lft-out--_binary64 div-exp_binary64
pow-prod-down_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
3 → 67
Calls

3 calls:

13.0ms
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
8.0ms
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
5.0ms
(-.f64 (*.f64 x x) (*.f64 y y))

series360.0ms (10.2%)

Counts
3 → 9
Calls

3 calls:

196.0ms
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
120.0ms
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
44.0ms
(-.f64 (*.f64 x x) (*.f64 y y))

simplify105.0ms (3%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
050711138

prune52.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done033
Total76480

Merged error: 0b

Counts
80 → 4
Compiler

Compiled 1254 to 297 computations (76.3% saved)

regimes57.0ms (1.6%)

Compiler

Compiled 252 to 186 computations (26.2% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample458.0ms (13%)

Algorithm
intervals
Results
177.0ms8000×body80valid
12.0ms600×body80invalid
Compiler

Compiled 57 to 44 computations (22.8% saved)

Profiling

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