Details

Time bar (total: 1.9s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0492119
1492119

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.2b
(*.f64 3 (*.f64 v v))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
26×associate-*l*_binary64
23×*-un-lft-identity_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
20×sqrt-prod_binary64
18×frac-times_binary64 sqrt-div_binary64
17×pow1_binary64
15×flip3--_binary64 flip--_binary64
12×associate-*r*_binary64
10×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
9×associate-*l/_binary64
7×pow-prod-down_binary64 unswap-sqr_binary64
4×add-log-exp_binary64
3×*-commutative_binary64
2×sub-neg_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
1×pow1/2_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64
Counts
4 → 127
Calls
4 calls:
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
17.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
12.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
6.0ms
(*.f64 3 (*.f64 v v))

series39.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
17.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
12.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
5.0ms
(*.f64 3 (*.f64 v v))

simplify39.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
051512345

prune175.0ms

Filtered
102 candidates to 139 candidates (-36.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1363139
Fresh000
Picked101
Done000
Total1373140

Merged error: 0b

Counts
140 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
0.2b
(*.f64 3 (*.f64 v v))
2.3b
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt_binary64
27×*-un-lft-identity_binary64
26×associate-*l*_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
21×sqrt-prod_binary64
18×pow1_binary64 frac-times_binary64
16×associate-*r*_binary64 sqrt-div_binary64
14×flip3--_binary64 flip--_binary64
10×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
9×associate-*l/_binary64
7×pow-prod-down_binary64 unswap-sqr_binary64
5×add-log-exp_binary64
4×log-pow_binary64 difference-of-squares_binary64
3×log-prod_binary64 *-commutative_binary64
2×sub-neg_binary64 cbrt-undiv_binary64 distribute-lft-out--_binary64 div-exp_binary64
1×rem-log-exp_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-inv_binary64 exp-to-pow_binary64 exp-prod_binary64
Counts
4 → 130
Calls
4 calls:
15.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))
15.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
6.0ms
(*.f64 3 (*.f64 v v))
2.0ms
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))
12.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
4.0ms
(*.f64 3 (*.f64 v v))
5.0ms
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))

simplify38.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
049192271
149192271

prune158.0ms

Filtered
103 candidates to 142 candidates (-37.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh022
Picked011
Done000
Total1423145

Merged error: 0b

Counts
145 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 9 (pow.f64 v 4)))))
0.0b
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 9 (pow.f64 v 4))))) (*.f64 4 (sqrt.f64 (+.f64 (*.f64 3 (*.f64 v v)) 1))))
0.1b
(*.f64 9 (pow.f64 v 4))
0.2b
(*.f64 3 (*.f64 v v))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64
26×add-sqr-sqrt_binary64
25×add-cbrt-cube_binary64
14×associate-*r*_binary64
13×pow1_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
11×prod-exp_binary64
10×sqrt-prod_binary64
9×cbrt-unprod_binary64
8×unswap-sqr_binary64
6×pow-prod-down_binary64 associate-*r/_binary64 sqrt-div_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 unpow-prod-down_binary64 div-exp_binary64
3×*-commutative_binary64
2×associate-/l/_binary64 pow1/2_binary64 flip3--_binary64 sqr-pow_binary64 associate-/r/_binary64 sqrt-pow1_binary64 flip--_binary64
1×pow-to-exp_binary64 flip3-+_binary64 associate-/r*_binary64 sqrt-unprod_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 flip-+_binary64 pow-exp_binary64
Counts
4 → 101
Calls
4 calls:
8.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 9 (pow.f64 v 4)))))
16.0ms
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 9 (pow.f64 v 4))))) (*.f64 4 (sqrt.f64 (+.f64 (*.f64 3 (*.f64 v v)) 1))))
6.0ms
(*.f64 9 (pow.f64 v 4))
6.0ms
(*.f64 3 (*.f64 v v))

series47.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 9 (pow.f64 v 4)))))
16.0ms
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 9 (pow.f64 v 4))))) (*.f64 4 (sqrt.f64 (+.f64 (*.f64 3 (*.f64 v v)) 1))))
5.0ms
(*.f64 9 (pow.f64 v 4))
4.0ms
(*.f64 3 (*.f64 v v))

simplify32.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
049811451
149811451

prune122.0ms

Filtered
72 candidates to 113 candidates (-56.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116

Merged error: 0b

Counts
116 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))
1.0b
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-div_binary64
58×frac-times_binary64
34×sqrt-prod_binary64
31×associate-*l/_binary64
30×associate-*r/_binary64
29×flip3--_binary64 associate-*l*_binary64 flip--_binary64
27×pow1_binary64
24×add-sqr-sqrt_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
22×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64
18×times-frac_binary64
16×pow-prod-down_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
7×associate-*r*_binary64
4×add-log-exp_binary64 pow1/2_binary64 sqrt-pow1_binary64
3×*-commutative_binary64
2×sub-neg_binary64 sqrt-unprod_binary64 difference-of-squares_binary64
1×distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 div-inv_binary64
Counts
4 → 148
Calls
4 calls:
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
22.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))
20.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
17.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
4.0ms
(*.f64 3 (*.f64 v v))
12.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

simplify45.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
055483150

prune211.0ms

Filtered
121 candidates to 160 candidates (-32.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1600160
Fresh000
Picked011
Done022
Total1603163

Merged error: 0b

Counts
163 → 3

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04521
14521

end0.0ms

sample487.0ms

Algorithm
intervals
Results
395.0ms8000×body80valid
0.0ms4×body80nan

Profiling

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