Details

Time bar (total: 3.7s)

analyze273.0ms

Algorithm
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

sample54.0ms

Algorithm
intervals
Results
17.0ms115×body320valid
11.0ms287×pre80true
10.0ms97×body160valid
3.0ms15×body640valid
2.0ms31×body80nan
2.0ms29×body80valid

simplify310.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (302.0ms)

IterNodesCost
0180324
1180324

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 53.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.3b
(*.f64 (*.f64 3 a) c)
27.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite33.0ms

Algorithm
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:
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
14.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
5.0ms
(*.f64 (*.f64 3 a) c)
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series217.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
108.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
15.0ms
(*.f64 (*.f64 3 a) c)
61.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049291807
149291807

prune115.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New751085
Fresh000
Picked101
Done000
Total761086

Merged error: 2.5b

Counts
86 → 10

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify13.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune14.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New000
Fresh099
Picked011
Done000
Total01010

Merged error: 2.5b

Counts
10 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 a c) b)
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite23.0ms

Algorithm
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:
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)
9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

series69.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
21.0ms
(/.f64 (*.f64 a c) b)
21.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify64.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04943874
14943874

prune66.0ms

Filtered
47 candidates to 87 candidates (-85.1%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New761187
Fresh088
Picked101
Done011
Total772097

Merged error: 2.4b

Counts
97 → 20

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.f64 a (sqrt.f64 b))
0.3b
(*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b))))
0.4b
(*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))
0.4b
(/.f64 (*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))) (*.f64 3 a))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log_binary64 add-cbrt-cube_binary64
76×add-sqr-sqrt_binary64
67×times-frac_binary64
46×*-un-lft-identity_binary64 add-cube-cbrt_binary64
37×cbrt-unprod_binary64 prod-exp_binary64
36×sqrt-prod_binary64
29×cbrt-undiv_binary64 div-exp_binary64
25×associate-*l*_binary64
23×associate-*r*_binary64
11×pow1_binary64
9×associate-*r/_binary64 unswap-sqr_binary64
7×associate-/r*_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 associate-/l*_binary64 div-inv_binary64
3×associate-/l/_binary64 frac-times_binary64 associate-*l/_binary64
2×clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
4 → 179
Calls
4 calls:
4.0ms
(/.f64 a (sqrt.f64 b))
12.0ms
(*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b))))
19.0ms
(*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))
15.0ms
(/.f64 (*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))) (*.f64 3 a))

series371.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/.f64 a (sqrt.f64 b))
248.0ms
(*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b))))
45.0ms
(*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))
46.0ms
(/.f64 (*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))) (*.f64 3 a))

simplify115.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
049292859
149292859

prune103.0ms

Filtered
111 candidates to 191 candidates (-72.1%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1838191
Fresh51318
Picked101
Done011
Total18922211

Merged error: 2.4b

Counts
211 → 22

regimes176.0ms

Accuracy

0% (3.4b remaining)

Error of 6.2b against oracle of 2.8b and baseline of 6.2b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms

sample1.5s

Algorithm
intervals
Results
555.0ms3603×body320valid
305.0ms2963×body160valid
257.0ms8787×pre80true
105.0ms525×body640valid
48.0ms909×body80valid
39.0ms787×body80nan

Profiling

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