Details

Time bar (total: 2.5s)

analyze5.0ms (0.2%)

Algorithm
1×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 (0.7%)

Algorithm
1×intervals
Results
13.0ms256×body80valid

simplify221.0ms (8.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (218.0ms)

IterNodesCost
0236419
1236419

prune5.0ms (0.2%)

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 (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))) (-.f64 1.0 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))
0.2b
(*.f64 3.0 (*.f64 v v))

rewrite45.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
26×associate-*l*_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
22×*-un-lft-identity_binary64 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
11×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 div-exp_binary64
1×pow1/2_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 difference-of-squares_binary64 div-inv_binary64
Counts
4 → 126
Calls

4 calls:

18.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))) (-.f64 1.0 (*.f64 v v)))
12.0ms
(*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))
6.0ms
(*.f64 3.0 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))

series45.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))) (-.f64 1.0 (*.f64 v v)))
14.0ms
(*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))
7.0ms
(sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))
5.0ms
(*.f64 3.0 (*.f64 v v))

simplify46.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
056392572

prune255.0ms (10%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1353138
Fresh000
Picked101
Done000
Total1363139

Merged error: 0b

Counts
139 → 3

localize20.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (sqrt.f64 2.0) (sqrt.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 (*.f64 3.0 3.0) (pow.f64 v 4)))))
0.0b
(/.f64 (*.f64 (sqrt.f64 2.0) (sqrt.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 (*.f64 3.0 3.0) (pow.f64 v 4))))) (*.f64 4.0 (sqrt.f64 (+.f64 (*.f64 3.0 (*.f64 v v)) 1.0))))
0.1b
(*.f64 (*.f64 3.0 3.0) (pow.f64 v 4))
0.2b
(*.f64 3.0 (*.f64 v v))

rewrite48.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
36×add-exp-log_binary64
28×add-cbrt-cube_binary64
22×add-sqr-sqrt_binary64
17×prod-exp_binary64
14×associate-*r*_binary64
13×pow1_binary64
11×*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64
10×associate-*l*_binary64 sqrt-prod_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×pow-to-exp_binary64 associate-/l/_binary64 pow1/2_binary64 flip3--_binary64 sqr-pow_binary64 associate-/r/_binary64 sqrt-pow1_binary64 flip--_binary64 pow-exp_binary64
1×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
Counts
4 → 103
Calls

4 calls:

18.0ms
(/.f64 (*.f64 (sqrt.f64 2.0) (sqrt.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 (*.f64 3.0 3.0) (pow.f64 v 4))))) (*.f64 4.0 (sqrt.f64 (+.f64 (*.f64 3.0 (*.f64 v v)) 1.0))))
10.0ms
(*.f64 (sqrt.f64 2.0) (sqrt.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 (*.f64 3.0 3.0) (pow.f64 v 4)))))
8.0ms
(*.f64 (*.f64 3.0 3.0) (pow.f64 v 4))
6.0ms
(*.f64 3.0 (*.f64 v v))

series50.0ms (2%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(*.f64 (sqrt.f64 2.0) (sqrt.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 (*.f64 3.0 3.0) (pow.f64 v 4)))))
18.0ms
(/.f64 (*.f64 (sqrt.f64 2.0) (sqrt.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 (*.f64 3.0 3.0) (pow.f64 v 4))))) (*.f64 4.0 (sqrt.f64 (+.f64 (*.f64 3.0 (*.f64 v v)) 1.0))))
6.0ms
(*.f64 (*.f64 3.0 3.0) (pow.f64 v 4))
4.0ms
(*.f64 3.0 (*.f64 v v))

simplify41.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
054691806

prune248.0ms (9.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done000
Total1153118

Merged error: 0b

Counts
118 → 3

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (log.f64 (exp.f64 (*.f64 3.0 (*.f64 v v))))))) (-.f64 1.0 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (log.f64 (exp.f64 (*.f64 3.0 (*.f64 v v)))))))
0.2b
(*.f64 3.0 (*.f64 v v))
2.3b
(log.f64 (exp.f64 (*.f64 3.0 (*.f64 v v))))

rewrite43.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64
26×associate-*l*_binary64
25×*-un-lft-identity_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
20×sqrt-prod_binary64
18×pow1_binary64 frac-times_binary64
16×sqrt-div_binary64
14×flip3--_binary64 associate-*r*_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
3×log-prod_binary64 *-commutative_binary64
2×sub-neg_binary64 cbrt-undiv_binary64 difference-of-squares_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 → 128
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (log.f64 (exp.f64 (*.f64 3.0 (*.f64 v v))))))) (-.f64 1.0 (*.f64 v v)))
14.0ms
(*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (log.f64 (exp.f64 (*.f64 3.0 (*.f64 v v)))))))
6.0ms
(*.f64 3.0 (*.f64 v v))
2.0ms
(log.f64 (exp.f64 (*.f64 3.0 (*.f64 v v))))

series46.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (log.f64 (exp.f64 (*.f64 3.0 (*.f64 v v))))))) (-.f64 1.0 (*.f64 v v)))
14.0ms
(*.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (log.f64 (exp.f64 (*.f64 3.0 (*.f64 v v)))))))
5.0ms
(log.f64 (exp.f64 (*.f64 3.0 (*.f64 v v))))
4.0ms
(*.f64 3.0 (*.f64 v v))

simplify43.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
052282466

prune240.0ms (9.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done011
Total1403143

Merged error: 0b

Counts
143 → 3

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))
0.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0)) (*.f64 (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0)))) (-.f64 1.0 (*.f64 v v)))
0.2b
(*.f64 3.0 (*.f64 v v))
1.0b
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0)) (*.f64 (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0))))

rewrite60.0ms (2.4%)

Algorithm
1×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
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64
18×times-frac_binary64
16×pow-prod-down_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
6×associate-*r*_binary64
4×add-log-exp_binary64 pow1/2_binary64 sqrt-pow1_binary64
3×*-commutative_binary64
2×sub-neg_binary64 sqrt-unprod_binary64
1×distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 difference-of-squares_binary64 div-inv_binary64
Counts
4 → 147
Calls

4 calls:

24.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0)) (*.f64 (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0)))) (-.f64 1.0 (*.f64 v v)))
19.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0)) (*.f64 (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0))))
6.0ms
(*.f64 3.0 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))

series66.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

35.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0)) (*.f64 (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0)))) (-.f64 1.0 (*.f64 v v)))
19.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0)) (*.f64 (sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2.0) 4.0))))
7.0ms
(sqrt.f64 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))
4.0ms
(*.f64 3.0 (*.f64 v v))

simplify54.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
061253544

prune330.0ms (13%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done022
Total1593162

Merged error: 0b

Counts
162 → 3

regimes85.0ms (3.3%)

Accuracy

Total 0.0b remaining (74.9%)

Threshold costs 0.0b (74.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07832
17832

end0.0ms (0%)

sample490.0ms (19.3%)

Algorithm
1×intervals
Results
396.0ms8000×body80valid
0.0ms4×body80nan

Profiling

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