Details

Time bar (total: 1.8s)

analyze299.0ms (16.7%)

Algorithm
1×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
15.6%84.3%0.1%7
29.6%70.2%0.1%8
36.7%60.1%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
57.6%31.1%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14

sample17.0ms (0.9%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
1.0ms23×body80invalid

simplify17.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
03459
13459

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 x z))
0.0b
(*.f64 (-.f64 1.0 x) y)

rewrite15.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64
5×associate-*l*_binary64
4×add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-*r*_binary64
2×associate-*l/_binary64
1×pow-prod-down_binary64 flip3-+_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 33
Calls

2 calls:

7.0ms
(+.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 x z))
7.0ms
(*.f64 (-.f64 1.0 x) y)

series18.0ms (1%)

Counts
2 → 6
Calls

2 calls:

12.0ms
(+.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 x z))
6.0ms
(*.f64 (-.f64 1.0 x) y)

simplify61.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04979345
14979345

prune53.0ms (3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340

Merged error: 0b

Counts
40 → 3

localize10.0ms (0.5%)

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)

rewrite12.0ms (0.7%)

Algorithm
1×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
9×pow1/3_binary64
6×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
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)

series82.0ms (4.6%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
21.0ms
(cbrt.f64 y)
19.0ms
(cbrt.f64 y)
19.0ms
(cbrt.f64 y)

simplify46.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04940374
14940374

prune95.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 (-.f64 1.0 x) y))
0.2b
(*.f64 (*.f64 x z) (*.f64 x z))
2.2b
(-.f64 (*.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 (-.f64 1.0 x) y)) (*.f64 (*.f64 x z) (*.f64 x z)))
26.8b
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 (-.f64 1.0 x) y)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 x z)))

rewrite68.0ms (3.8%)

Algorithm
1×rewrite-expression-head
Rules
82×pow1_binary64
34×pow-prod-down_binary64
30×add-exp-log_binary64 add-cbrt-cube_binary64
16×cbrt-unprod_binary64 prod-exp_binary64
14×associate-*l/_binary64
13×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
12×times-frac_binary64
9×flip3--_binary64 flip--_binary64
8×pow-prod-up_binary64 pow-sqr_binary64
6×add-log-exp_binary64
5×difference-of-squares_binary64
4×pow-plus_binary64 associate-/l*_binary64 frac-times_binary64
3×associate-/r*_binary64
2×associate-/l/_binary64 swap-sqr_binary64 associate-*r*_binary64 associate-*r/_binary64 associate-/r/_binary64 associate-*l*_binary64 pow2_binary64 *-commutative_binary64
1×sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 124
Calls

4 calls:

25.0ms
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 (-.f64 1.0 x) y)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 x z)))
16.0ms
(-.f64 (*.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 (-.f64 1.0 x) y)) (*.f64 (*.f64 x z) (*.f64 x z)))
13.0ms
(*.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 (-.f64 1.0 x) y))
7.0ms
(*.f64 (*.f64 x z) (*.f64 x z))

series110.0ms (6.1%)

Counts
4 → 12
Calls

4 calls:

59.0ms
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 (-.f64 1.0 x) y)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 x z)))
32.0ms
(-.f64 (*.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 (-.f64 1.0 x) y)) (*.f64 (*.f64 x z) (*.f64 x z)))
11.0ms
(*.f64 (*.f64 x z) (*.f64 x z))
8.0ms
(*.f64 (*.f64 (-.f64 1.0 x) y) (*.f64 (-.f64 1.0 x) y))

simplify37.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
054762126

prune190.0ms (10.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0b

Counts
139 → 3

regimes188.0ms (10.5%)

Accuracy

Total 0.0b remaining (14.8%)

Threshold costs 0.0b (14.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1219

end0.0ms (0%)

sample447.0ms (25%)

Algorithm
1×intervals
Results
244.0ms8000×body80valid
22.0ms676×body80invalid

Profiling

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