Details

Time bar (total: 4.1s)

analyze389.0ms (9.4%)

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
25%74.9%0.1%7
31.2%68.6%0.1%8
35.9%64%0.1%9
47.6%49.9%2.5%10
49.1%46.8%4%11
51.1%44.1%4.8%12
60.2%29.9%9.9%13
60.6%27.9%11.6%14
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms51×body128invalid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify143.0ms (3.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
0505816

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.3b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (*.f64 z z) (+.f64 z 1))
12.0b
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64 add-cbrt-cube_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
pow1_binary64
cbrt-undiv_binary64 div-exp_binary64
*-un-lft-identity_binary64
associate-*r*_binary64 associate-*r/_binary64 add-sqr-sqrt_binary64
pow-prod-down_binary64 add-cube-cbrt_binary64
flip3-+_binary64 add-log-exp_binary64 associate-/r/_binary64 flip-+_binary64
associate-/r*_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 51
Calls

2 calls:

11.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
9.0ms
(*.f64 (*.f64 z z) (+.f64 z 1))

series199.0ms (4.8%)

Counts
2 → 6
Calls

2 calls:

119.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
80.0ms
(*.f64 (*.f64 z z) (+.f64 z 1))

simplify68.0ms (1.6%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04948858
14948858

prune122.0ms (2.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh000
Picked101
Done000
Total52658

Merged error: 1.5b

Counts
58 → 6
Compiler

Compiled 1878 to 1199 computations (36.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 y (+.f64 z 1))
2.3b
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
10.1b
(/.f64 x (*.f64 z z))

rewrite37.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity_binary64
34×add-sqr-sqrt_binary64 times-frac_binary64
31×add-exp-log_binary64 add-cbrt-cube_binary64
24×add-cube-cbrt_binary64
18×associate-*r*_binary64
10×cbrt-undiv_binary64 div-exp_binary64
cbrt-unprod_binary64 prod-exp_binary64
distribute-lft-out_binary64 associate-*l*_binary64
associate-/l*_binary64
associate-/r*_binary64 pow1_binary64
associate-/r/_binary64 unswap-sqr_binary64 div-inv_binary64
add-log-exp_binary64
flip3-+_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
pow-prod-down_binary64 associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
3 → 107
Calls

3 calls:

17.0ms
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
6.0ms
(/.f64 y (+.f64 z 1))
5.0ms
(/.f64 x (*.f64 z z))

series184.0ms (4.4%)

Counts
3 → 9
Calls

3 calls:

100.0ms
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
49.0ms
(/.f64 y (+.f64 z 1))
34.0ms
(/.f64 x (*.f64 z z))

simplify84.0ms (2%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
051241776

prune215.0ms (5.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1088116
Fresh325
Picked011
Done000
Total11111122

Merged error: 0.0b

Counts
122 → 11
Compiler

Compiled 3766 to 2291 computations (39.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

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 x) (cbrt.f64 x))
2.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series631.0ms (15.2%)

Counts
4 → 12
Calls

4 calls:

167.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
159.0ms
(cbrt.f64 x)
158.0ms
(cbrt.f64 x)
146.0ms
(cbrt.f64 x)

simplify58.0ms (1.4%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05244563

prune121.0ms (2.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh099
Picked011
Done011
Total831396

Merged error: 0.0b

Counts
96 → 13
Compiler

Compiled 2460 to 1275 computations (48.2% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))
0.5b
(pow.f64 (cbrt.f64 x) 2)
0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)

rewrite44.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
87×add-exp-log_binary64
41×add-cbrt-cube_binary64
37×associate-*l*_binary64
36×prod-exp_binary64
33×times-frac_binary64
31×div-exp_binary64
30×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
24×unpow-prod-down_binary64
18×cbrt-unprod_binary64 cbrt-prod_binary64
13×cbrt-undiv_binary64
10×pow1_binary64
pow-to-exp_binary64 pow-exp_binary64
associate-*r/_binary64 frac-times_binary64
add-log-exp_binary64 unpow2_binary64 sqr-pow_binary64
pow-prod-down_binary64 pow-unpow_binary64 pow1/3_binary64 associate-*l/_binary64
pow-pow_binary64
associate-*r*_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 129
Calls

4 calls:

23.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))
3.0ms
(pow.f64 (cbrt.f64 x) 2)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series639.0ms (15.4%)

Counts
4 → 12
Calls

4 calls:

183.0ms
(pow.f64 (cbrt.f64 x) 2)
154.0ms
(cbrt.f64 x)
152.0ms
(cbrt.f64 x)
150.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))

simplify70.0ms (1.7%)

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049872093
149872093

prune168.0ms (4.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1401141
Fresh3710
Picked011
Done022
Total14311154

Merged error: 0b

Counts
154 → 11
Compiler

Compiled 3289 to 1755 computations (46.6% saved)

regimes104.0ms (2.5%)

Compiler

Compiled 761 to 615 computations (19.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01726
11726

end0.0ms (0%)

sample759.0ms (18.3%)

Algorithm
intervals
Results
285.0ms8000×body128valid
52.0ms1449×body128invalid
Compiler

Compiled 202 to 158 computations (21.8% saved)

Profiling

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