Details

Time bar (total: 4.3s)

analyze585.0ms (13.5%)

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)

sample19.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
2.0ms59×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03013
13013

prune3.0ms (0.1%)

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 (0.2%)

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)

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 associate-*r*_binary64 associate-*l*_binary64 flip-+_binary64
+-commutative_binary64 associate-*l/_binary64 sum-log_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
3 → 42
Calls

3 calls:

9.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
8.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
5.0ms
(+.f64 (*.f64 x y) z)

series229.0ms (5.3%)

Counts
3 → 9
Calls

3 calls:

110.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
77.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
41.0ms
(+.f64 (*.f64 x y) z)

simplify59.0ms (1.4%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04989719
14989719

prune92.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New46551
Fresh000
Picked011
Done000
Total46652

Merged error: 0.0b

Counts
52 → 6
Compiler

Compiled 1843 to 816 computations (55.7% saved)

localize11.0ms (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)))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite40.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
flip3-+_binary64 pow1/3_binary64 flip-+_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 87
Calls

4 calls:

17.0ms
(*.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))

series860.0ms (19.9%)

Counts
4 → 12
Calls

4 calls:

262.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
208.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
202.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
189.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify83.0ms (1.9%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049041777
149041777

prune108.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh044
Picked011
Done011
Total996105

Merged error: 0.0b

Counts
105 → 6
Compiler

Compiled 3155 to 753 computations (76.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
pow1/3_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series641.0ms (14.8%)

Counts
4 → 12
Calls

4 calls:

171.0ms
(cbrt.f64 y)
166.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
152.0ms
(cbrt.f64 y)
152.0ms
(cbrt.f64 y)

simplify53.0ms (1.2%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05244563

prune76.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0.0b

Counts
91 → 6
Compiler

Compiled 1778 to 564 computations (68.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 x y) (*.f64 x y))
1.2b
(-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 z z))
8.3b
(*.f64 y (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 z z)))
16.9b
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 z z))) (-.f64 (*.f64 x y) z))

rewrite54.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
45×pow1_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
18×pow-prod-down_binary64
10×cbrt-unprod_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
add-log-exp_binary64
associate-*r*_binary64
flip3--_binary64 pow-prod-up_binary64 associate-*r/_binary64 associate-*l*_binary64 pow-sqr_binary64 flip--_binary64
associate-/r*_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64 times-frac_binary64
associate-/l/_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 associate-/r/_binary64 distribute-rgt-in_binary64 pow-plus_binary64 difference-of-squares_binary64 div-exp_binary64 *-commutative_binary64
swap-sqr_binary64 diff-log_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 pow2_binary64
Counts
4 → 97
Calls

4 calls:

16.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 z z))) (-.f64 (*.f64 x y) z))
13.0ms
(*.f64 y (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 z z)))
8.0ms
(-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 z z))
8.0ms
(*.f64 (*.f64 x y) (*.f64 x y))

series439.0ms (10.2%)

Counts
4 → 12
Calls

4 calls:

163.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 z z))) (-.f64 (*.f64 x y) z))
124.0ms
(*.f64 y (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 z z)))
105.0ms
(-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 z z))
47.0ms
(*.f64 (*.f64 x y) (*.f64 x y))

simplify42.0ms (1%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
052451699

prune110.0ms (2.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1081109
Fresh112
Picked011
Done033
Total1096115

Merged error: 0.0b

Counts
115 → 6
Compiler

Compiled 2982 to 824 computations (72.4% saved)

regimes88.0ms (2%)

Compiler

Compiled 664 to 458 computations (31% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample652.0ms (15.1%)

Algorithm
intervals
Results
234.0ms8000×body128valid
56.0ms1809×body128invalid
Compiler

Compiled 123 to 87 computations (29.3% saved)

Profiling

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