Details

Time bar (total: 3.5s)

analyze272.0ms (7.7%)

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

sample52.0ms (1.5%)

Algorithm
1×intervals
Results
15.0ms108×body320valid
10.0ms284×pre80true
9.0ms93×body160valid
4.0ms21×body640valid
2.0ms34×body80valid
1.0ms28×body80nan

simplify221.0ms (6.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (218.0ms)

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: 51.5b

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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b) (*.f64 3.0 a))
0.3b
(*.f64 (*.f64 3.0 a) c)
24.2b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b)

rewrite33.0ms (0.9%)

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:

12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b) (*.f64 3.0 a))
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b)
6.0ms
(*.f64 (*.f64 3.0 a) c)
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))

series68.0ms (1.9%)

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))
20.0ms
(-.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)

simplify43.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050731207

prune161.0ms (4.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New751085
Fresh000
Picked101
Done000
Total761086

Merged error: 2.9b

Counts
86 → 10

localize3.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune27.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New000
Fresh099
Picked011
Done000
Total01010

Merged error: 2.9b

Counts
10 → 10

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -1.5 (/.f64 (*.f64 a c) b))
0.4b
(/.f64 (*.f64 -1.5 (/.f64 (*.f64 a c) b)) (*.f64 3.0 a))

rewrite25.0ms (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:

10.0ms
(/.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)

series21.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

8.0ms
(/.f64 (*.f64 -1.5 (/.f64 (*.f64 a c) b)) (*.f64 3.0 a))
7.0ms
(*.f64 -1.5 (/.f64 (*.f64 a c) b))
6.0ms
(/.f64 (*.f64 a c) b)

simplify61.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04998653
14998653

prune152.0ms (4.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New761187
Fresh088
Picked101
Done101
Total781997

Merged error: 2.9b

Counts
97 → 19

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 -1.5 (/.f64 3.0 (/.f64 c b)))
0.3b
(/.f64 3.0 (/.f64 c b))

rewrite35.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
57×associate-/r*_binary64
22×div-inv_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
9×cbrt-undiv_binary64 div-exp_binary64
6×associate-/r/_binary64 associate-/l*_binary64
2×add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
Counts
2 → 266
Calls

2 calls:

13.0ms
(/.f64 -1.5 (/.f64 3.0 (/.f64 c b)))
6.0ms
(/.f64 3.0 (/.f64 c b))

series9.0ms (0.2%)

Counts
2 → 6
Calls

2 calls:

4.0ms
(/.f64 3.0 (/.f64 c b))
4.0ms
(/.f64 -1.5 (/.f64 3.0 (/.f64 c b)))

simplify99.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049673903
149673903

prune319.0ms (9.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New2666272
Fresh41418
Picked011
Done000
Total27021291

Merged error: 2.9b

Counts
291 → 21

regimes419.0ms (11.9%)

Accuracy

Total 3.5b remaining (57.2%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample1.5s (41.7%)

Algorithm
1×intervals
Results
514.0ms3568×body320valid
297.0ms3024×body160valid
263.0ms8826×pre80true
99.0ms512×body640valid
47.0ms896×body80valid
40.0ms826×body80nan

Profiling

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