Details

Time bar (total: 3.2s)

analyze270.0ms (8.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample45.0ms (1.4%)

Algorithm
1×intervals
Results
14.0ms154×body160valid
8.0ms290×pre80true
5.0ms40×body320valid
4.0ms34×body80nan
3.0ms62×body80valid

simplify213.0ms (6.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (210.0ms)

IterNodesCost
0178416
1178416

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 42.7b

Counts
2 → 1

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))
0.2b
(*.f64 (*.f64 3.0 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b) (*.f64 3.0 a))
37.3b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b)

rewrite33.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
13×*-un-lft-identity_binary64
9×pow1_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64
4×cbrt-unprod_binary64 prod-exp_binary64
3×pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 distribute-lft-out--_binary64 flip--_binary64 sqrt-prod_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 associate-*l*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

11.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b) (*.f64 3.0 a))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b)
7.0ms
(*.f64 (*.f64 3.0 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))

series65.0ms (2.1%)

Counts
4 → 12
Calls

4 calls:

32.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b) (*.f64 3.0 a))
18.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b)
10.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))
4.0ms
(*.f64 (*.f64 3.0 a) c)

simplify39.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050731207

prune167.0ms (5.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New711485
Fresh000
Picked101
Done000
Total721486

Merged error: 5.3b

Counts
86 → 14

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune40.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 5.3b

Counts
14 → 14

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (*.f64 a c) b)
0.3b
(/.f64 (*.f64 -1.5 (/.f64 (*.f64 a c) b)) (*.f64 3.0 a))
0.3b
(*.f64 -1.5 (/.f64 (*.f64 a c) b))

rewrite23.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64 add-cbrt-cube_binary64
17×cbrt-unprod_binary64 prod-exp_binary64
16×cbrt-undiv_binary64 div-exp_binary64
10×add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×associate-*r*_binary64 times-frac_binary64
5×pow1_binary64
4×associate-/r*_binary64
3×add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
2×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 78
Calls

3 calls:

9.0ms
(/.f64 (*.f64 -1.5 (/.f64 (*.f64 a c) b)) (*.f64 3.0 a))
7.0ms
(*.f64 -1.5 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)

series19.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

7.0ms
(*.f64 -1.5 (/.f64 (*.f64 a c) b))
6.0ms
(/.f64 (*.f64 -1.5 (/.f64 (*.f64 a c) b)) (*.f64 3.0 a))
6.0ms
(/.f64 (*.f64 a c) b)

simplify57.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04998653
14998653

prune180.0ms (5.7%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New731487
Fresh01212
Picked101
Done011
Total7427101

Merged error: 5.2b

Counts
101 → 27

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 a (/.f64 c b))
0.3b
(/.f64 (*.f64 -1.5 (*.f64 a (/.f64 c b))) (*.f64 3.0 a))
0.3b
(*.f64 -1.5 (*.f64 a (/.f64 c b)))

rewrite26.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64 add-cbrt-cube_binary64
21×cbrt-unprod_binary64 prod-exp_binary64
17×add-sqr-sqrt_binary64
14×associate-*r*_binary64
12×*-un-lft-identity_binary64 cbrt-undiv_binary64 add-cube-cbrt_binary64 div-exp_binary64
11×times-frac_binary64
10×pow1_binary64
6×associate-*l*_binary64
5×associate-*r/_binary64
4×pow-prod-down_binary64
3×add-log-exp_binary64
2×unswap-sqr_binary64 div-inv_binary64 *-commutative_binary64
1×associate-/l/_binary64 associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
Counts
3 → 83
Calls

3 calls:

10.0ms
(/.f64 (*.f64 -1.5 (*.f64 a (/.f64 c b))) (*.f64 3.0 a))
7.0ms
(*.f64 -1.5 (*.f64 a (/.f64 c b)))
6.0ms
(*.f64 a (/.f64 c b))

series19.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

7.0ms
(*.f64 -1.5 (*.f64 a (/.f64 c b)))
6.0ms
(/.f64 (*.f64 -1.5 (*.f64 a (/.f64 c b))) (*.f64 3.0 a))
6.0ms
(*.f64 a (/.f64 c b))

simplify58.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05018679

prune91.0ms (2.9%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New87592
Fresh32225
Picked101
Done011
Total9128119

Merged error: 5.2b

Counts
119 → 28

regimes526.0ms (16.7%)

Accuracy

Total 6.7b remaining (57.6%)

Threshold costs 0b (0%)

bsearch14.0ms (0.4%)

Steps
ItersRangePoint
3
0.8191393748120307
1.0786687408435922
0.9705234342937443

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08139
18139

end0.0ms (0%)

sample1.2s (38.7%)

Algorithm
1×intervals
Results
453.0ms4841×body160valid
253.0ms8851×pre80true
190.0ms1372×body320valid
85.0ms1787×body80valid
41.0ms851×body80nan

Profiling

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