Details

Time bar (total: 5.0s)

analyze271.0ms (5.4%)

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

sample42.0ms (0.8%)

Algorithm
1×intervals
Results
12.0ms125×body160valid
10.0ms131×body80valid
8.0ms290×pre80true
2.0ms34×body80nan

simplify215.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (213.0ms)

IterNodesCost
0178416
1178416

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 25.5b

Counts
2 → 1

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))
0.3b
(*.f64 (*.f64 3.0 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b) (*.f64 3.0 a))
25.3b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b)

rewrite36.0ms (0.7%)

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))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b)
8.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))
5.0ms
(*.f64 (*.f64 3.0 a) c)

series65.0ms (1.3%)

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)

simplify42.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050731207

prune163.0ms (3.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New701585
Fresh000
Picked101
Done000
Total711586

Merged error: 9.4b

Counts
86 → 15

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 3.0 a) c)
0.3b
(/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))))
0.4b
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))))) (*.f64 3.0 a))
24.8b
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)) (*.f64 b b))

rewrite51.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
70×times-frac_binary64
59×*-un-lft-identity_binary64
47×add-sqr-sqrt_binary64
33×add-cube-cbrt_binary64
26×associate-/l*_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
14×difference-of-squares_binary64
13×distribute-lft-out_binary64
9×add-log-exp_binary64 pow1_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×associate-/r/_binary64
5×associate-/r*_binary64 cbrt-unprod_binary64 prod-exp_binary64
4×div-inv_binary64
3×pow-prod-down_binary64 flip3-+_binary64 associate-/l/_binary64 diff-log_binary64 associate-*r*_binary64 div-sub_binary64 flip-+_binary64
2×sub-neg_binary64 flip3--_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64
1×associate--l-_binary64 associate-*l*_binary64 associate--l+_binary64 *-commutative_binary64
Counts
4 → 139
Calls

4 calls:

18.0ms
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))))) (*.f64 3.0 a))
15.0ms
(/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))))
7.0ms
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)) (*.f64 b b))
6.0ms
(*.f64 (*.f64 3.0 a) c)

series110.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

52.0ms
(/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))))
44.0ms
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))))) (*.f64 3.0 a))
8.0ms
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)) (*.f64 b b))
5.0ms
(*.f64 (*.f64 3.0 a) c)

simplify72.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049743620
149743620

prune305.0ms (6.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New14110151
Fresh13114
Picked101
Done000
Total15511166

Merged error: 0.0b

Counts
166 → 11

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) (neg.f64 (*.f64 (*.f64 3.0 a) c)))
0.3b
(*.f64 (*.f64 3.0 a) c)
0.3b
(*.f64 (*.f64 3.0 a) c)
0.4b
(/.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) (neg.f64 (*.f64 (*.f64 3.0 a) c)))) (*.f64 3.0 a))

rewrite68.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
425×times-frac_binary64
228×*-un-lft-identity_binary64
142×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
93×associate-/l*_binary64
61×add-exp-log_binary64
43×distribute-lft-out_binary64
37×add-cbrt-cube_binary64
29×neg-mul-1_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64 div-exp_binary64
14×pow1_binary64
13×cbrt-undiv_binary64 prod-exp_binary64
10×div-inv_binary64
9×cbrt-unprod_binary64
7×associate-/r*_binary64
6×pow-prod-down_binary64 associate-*r*_binary64
4×add-log-exp_binary64 1-exp_binary64 rec-exp_binary64
3×associate-/l/_binary64
2×associate-/r/_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×flip3-+_binary64 flip-+_binary64
Counts
4 → 294
Calls

4 calls:

29.0ms
(/.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) (neg.f64 (*.f64 (*.f64 3.0 a) c)))) (*.f64 3.0 a))
11.0ms
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) (neg.f64 (*.f64 (*.f64 3.0 a) c)))
6.0ms
(*.f64 (*.f64 3.0 a) c)
6.0ms
(*.f64 (*.f64 3.0 a) c)

series84.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

47.0ms
(/.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) (neg.f64 (*.f64 (*.f64 3.0 a) c)))) (*.f64 3.0 a))
28.0ms
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) (neg.f64 (*.f64 (*.f64 3.0 a) c)))
5.0ms
(*.f64 (*.f64 3.0 a) c)
4.0ms
(*.f64 (*.f64 3.0 a) c)

simplify78.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050058122

prune748.0ms (14.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New3033306
Fresh3710
Picked101
Done000
Total30710317

Merged error: 0b

Counts
317 → 10

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (/.f64 1 (/.f64 1 (neg.f64 (*.f64 3.0 a)))) (*.f64 (*.f64 3.0 a) (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) c)))
0.3b
(*.f64 (*.f64 3.0 a) c)
0.3b
(/.f64 1 (neg.f64 (*.f64 3.0 a)))
0.4b
(*.f64 (*.f64 3.0 a) (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) c))

rewrite75.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
341×times-frac_binary64
294×add-exp-log_binary64
165×div-exp_binary64
136×*-un-lft-identity_binary64
130×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
92×add-cbrt-cube_binary64
87×prod-exp_binary64
74×associate-/l*_binary64
39×cbrt-undiv_binary64
36×1-exp_binary64 rec-exp_binary64
27×cbrt-unprod_binary64
22×neg-mul-1_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
19×associate-*r*_binary64
15×pow1_binary64
11×div-inv_binary64
7×associate-/r*_binary64
6×pow-prod-down_binary64
4×add-log-exp_binary64
3×distribute-lft-out_binary64 associate-/r/_binary64
2×associate-*r/_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×associate-/l/_binary64 inv-pow_binary64 pow-flip_binary64
Counts
4 → 332
Calls

4 calls:

29.0ms
(/.f64 (/.f64 1 (/.f64 1 (neg.f64 (*.f64 3.0 a)))) (*.f64 (*.f64 3.0 a) (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) c)))
14.0ms
(*.f64 (*.f64 3.0 a) (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) c))
6.0ms
(*.f64 (*.f64 3.0 a) c)
5.0ms
(/.f64 1 (neg.f64 (*.f64 3.0 a)))

series112.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

60.0ms
(/.f64 (/.f64 1 (/.f64 1 (neg.f64 (*.f64 3.0 a)))) (*.f64 (*.f64 3.0 a) (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) c)))
44.0ms
(*.f64 (*.f64 3.0 a) (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c)))) c))
4.0ms
(*.f64 (*.f64 3.0 a) c)
3.0ms
(/.f64 1 (neg.f64 (*.f64 3.0 a)))

simplify81.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
344 → 344
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
052676907

prune900.0ms (17.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3413344
Fresh369
Picked101
Done000
Total3459354

Merged error: 0b

Counts
354 → 9

regimes316.0ms (6.3%)

Accuracy

Total 0.3b remaining (91.2%)

Threshold costs 0.3b (91.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07219
17219

end0.0ms (0%)

sample1.1s (22.5%)

Algorithm
1×intervals
Results
445.0ms4553×body160valid
259.0ms8979×pre80true
172.0ms3447×body80valid
48.0ms979×body80nan

Profiling

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