Details

Time bar (total: 4.7s)

analyze942.0ms

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
0%99.9%0.1%7
0%99.9%0.1%8
0%96.7%3.3%9
16.4%74.9%8.7%10
17.6%71.8%10.7%11
26.3%59.5%14.2%12
30.7%45.7%23.5%13
31.7%43.5%24.7%14

sample53.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
17.0ms182×body80invalid

simplify454.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0564529

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 13.2b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

2.5b
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (*.f64 (*.f64 w w) r) r))
5.7b
(*.f64 (*.f64 (*.f64 w w) r) r)
6.2b
(/.f64 (*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 1.0 v))
9.1b
(*.f64 (*.f64 w w) r)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log_binary64 add-cbrt-cube_binary64
57×cbrt-unprod_binary64 prod-exp_binary64
50×pow1_binary64
33×pow-prod-down_binary64
13×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64
9×cbrt-undiv_binary64 div-exp_binary64
8×add-cube-cbrt_binary64
7×associate-*r*_binary64
5×associate-/r*_binary64 times-frac_binary64
4×add-log-exp_binary64 associate-*r/_binary64 associate-*l/_binary64
3×flip3--_binary64 associate-*l*_binary64 flip--_binary64 *-commutative_binary64
2×associate-/l/_binary64 associate-/r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
1×unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
4 → 119
Calls
4 calls:
14.0ms
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (*.f64 (*.f64 w w) r) r))
8.0ms
(*.f64 (*.f64 (*.f64 w w) r) r)
19.0ms
(/.f64 (*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 1.0 v))
9.0ms
(*.f64 (*.f64 w w) r)

series84.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (*.f64 (*.f64 w w) r) r))
8.0ms
(*.f64 (*.f64 (*.f64 w w) r) r)
35.0ms
(/.f64 (*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 1.0 v))
13.0ms
(*.f64 (*.f64 w w) r)

simplify39.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
052421907

prune149.0ms

Filtered
63 candidates to 131 candidates (-107.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1229131
Fresh000
Picked101
Done000
Total1239132

Merged error: 2.4b

Counts
132 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r)))
0.8b
(/.f64 2.0 (*.f64 r r))
2.5b
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))))
6.2b
(/.f64 (*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r)))) (-.f64 1.0 v))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log_binary64 add-cbrt-cube_binary64
23×pow1_binary64
18×cbrt-unprod_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
16×*-un-lft-identity_binary64
12×add-cube-cbrt_binary64
9×pow-prod-down_binary64
8×times-frac_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×associate-/r*_binary64
4×add-log-exp_binary64 associate-*r*_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-/l*_binary64 associate-*l/_binary64
3×flip3--_binary64 swap-sqr_binary64 flip--_binary64
2×associate-/l/_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 *-commutative_binary64
1×pow-prod-up_binary64 pow-plus_binary64 unswap-sqr_binary64 pow-sqr_binary64 pow2_binary64
Counts
4 → 105
Calls
4 calls:
4.0ms
(*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r)))
5.0ms
(/.f64 2.0 (*.f64 r r))
12.0ms
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))))
14.0ms
(/.f64 (*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r)))) (-.f64 1.0 v))

series60.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r)))
4.0ms
(/.f64 2.0 (*.f64 r r))
19.0ms
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))))
32.0ms
(/.f64 (*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r)))) (-.f64 1.0 v))

simplify36.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
051611469

prune191.0ms

Filtered
70 candidates to 117 candidates (-67.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New10512117
Fresh628
Picked101
Done000
Total11214126

Merged error: 0.0b

Counts
126 → 14

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v))
0.4b
(pow.f64 (fabs.f64 (*.f64 w r)) 2)
0.8b
(/.f64 2.0 (*.f64 r r))
4.5b
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
83×times-frac_binary64
82×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
48×add-cube-cbrt_binary64
46×associate-*r*_binary64
39×add-exp-log_binary64
36×unpow-prod-down_binary64
23×add-cbrt-cube_binary64
17×difference-of-squares_binary64 distribute-lft-out--_binary64
13×prod-exp_binary64
12×unpow2_binary64 sqr-pow_binary64
11×associate-/l*_binary64 div-exp_binary64
10×pow1_binary64
7×cbrt-unprod_binary64
6×associate-/r*_binary64
5×cbrt-undiv_binary64 associate-*r/_binary64
4×pow-to-exp_binary64 add-log-exp_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64 pow-exp_binary64
3×pow-prod-down_binary64 pow-unpow_binary64 div-inv_binary64
2×clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-pow_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 182
Calls
4 calls:
8.0ms
(/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v))
3.0ms
(pow.f64 (fabs.f64 (*.f64 w r)) 2)
5.0ms
(/.f64 2.0 (*.f64 r r))
18.0ms
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v))
8.0ms
(pow.f64 (fabs.f64 (*.f64 w r)) 2)
4.0ms
(/.f64 2.0 (*.f64 r r))
30.0ms
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v)))

simplify60.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049752916
149752916

prune282.0ms

Filtered
117 candidates to 194 candidates (-65.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1877194
Fresh7613
Picked101
Done000
Total19513208

Merged error: 0.0b

Counts
208 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v))
0.2b
(/.f64 (/.f64 2.0 r) r)
0.4b
(pow.f64 (fabs.f64 (*.f64 w r)) 2)
4.5b
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
155×times-frac_binary64
122×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
88×add-cube-cbrt_binary64
46×associate-*r*_binary64
39×add-exp-log_binary64
36×unpow-prod-down_binary64
23×add-cbrt-cube_binary64
21×associate-/l*_binary64
17×difference-of-squares_binary64 distribute-lft-out--_binary64
12×unpow2_binary64 sqr-pow_binary64 prod-exp_binary64 div-exp_binary64
10×pow1_binary64
8×associate-/r*_binary64
7×div-inv_binary64
6×cbrt-unprod_binary64 cbrt-undiv_binary64
5×associate-*r/_binary64
4×pow-to-exp_binary64 add-log-exp_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64 pow-exp_binary64
3×pow-prod-down_binary64 pow-unpow_binary64
2×clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64
1×associate-/l/_binary64 pow-pow_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 231
Calls
4 calls:
8.0ms
(/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v))
6.0ms
(/.f64 (/.f64 2.0 r) r)
2.0ms
(pow.f64 (fabs.f64 (*.f64 w r)) 2)
20.0ms
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v))
4.0ms
(/.f64 (/.f64 2.0 r) r)
5.0ms
(pow.f64 (fabs.f64 (*.f64 w r)) 2)
30.0ms
(*.f64 (*.f64 0.125 (-.f64 3.0 (*.f64 2.0 v))) (/.f64 (pow.f64 (fabs.f64 (*.f64 w r)) 2) (-.f64 1.0 v)))

simplify51.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
053263509

prune301.0ms

Filtered
151 candidates to 243 candidates (-60.9%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2412243
Fresh11112
Picked011
Done000
Total24214256

Merged error: 0.0b

Counts
256 → 14

regimes370.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify11.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
038928
138928

end0.0ms

sample1.2s

Algorithm
intervals
Results
552.0ms8000×body80valid
336.0ms4909×body80invalid

Profiling

Loading profile data...