Details

Time bar (total: 2.0s)

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

sample25.0ms (1.2%)

Algorithm
1×intervals
Results
19.0ms256×body80valid

simplify223.0ms (11%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (219.0ms)

IterNodesCost
0198720
1198720

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 1.0b

Counts
2 → 1

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v)))
0.0b
(*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v)))))
0.2b
(*.f64 6.0 (*.f64 v v))
1.0b
(/.f64 4.0 (*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))))

rewrite45.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Rules
37×add-exp-log_binary64 add-cbrt-cube_binary64
23×pow1_binary64
18×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
13×flip3--_binary64 flip--_binary64
12×pow-prod-down_binary64 add-sqr-sqrt_binary64 sqrt-div_binary64
11×associate-*r*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×associate-/r/_binary64 frac-times_binary64
5×associate-*l*_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 associate-*l/_binary64
3×associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64 *-commutative_binary64
2×sub-neg_binary64
1×associate-/r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 div-inv_binary64
Counts
4 → 107
Calls

4 calls:

14.0ms
(/.f64 4.0 (*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))))
13.0ms
(*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v)))))
7.0ms
(*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v)))
6.0ms
(*.f64 6.0 (*.f64 v v))

series62.0ms (3.1%)

Counts
4 → 12
Calls

4 calls:

27.0ms
(/.f64 4.0 (*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))))
19.0ms
(*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v)))))
11.0ms
(*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v)))
4.0ms
(*.f64 6.0 (*.f64 v v))

simplify49.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
056262185

prune198.0ms (9.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1172119
Fresh000
Picked101
Done000
Total1182120

Merged error: 0b

Counts
120 → 2

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))
0.0b
(/.f64 4.0 (*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64)))
0.0b
(*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64))
0.2b
(*.f64 6.0 (*.f64 v v))

rewrite29.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
23×add-exp-log_binary64 add-cbrt-cube_binary64
15×pow1_binary64
12×add-sqr-sqrt_binary64
9×*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64
7×associate-*l*_binary64
6×pow-prod-down_binary64
4×add-log-exp_binary64 associate-*l/_binary64
3×flip3--_binary64 cbrt-undiv_binary64 associate-/l*_binary64 times-frac_binary64 div-exp_binary64 flip--_binary64 sqrt-prod_binary64
2×associate-*r*_binary64 associate-/r/_binary64 sqrt-div_binary64 *-commutative_binary64
1×associate-/r*_binary64 pow1/2_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 div-inv_binary64
Counts
4 → 80
Calls

4 calls:

9.0ms
(/.f64 4.0 (*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64)))
8.0ms
(*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64))
6.0ms
(*.f64 6.0 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))

series34.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

12.0ms
(*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64))
11.0ms
(/.f64 4.0 (*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64)))
7.0ms
(sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))
5.0ms
(*.f64 6.0 (*.f64 v v))

simplify62.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04972988
14972988

prune131.0ms (6.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done000
Total92294

Merged error: 0b

Counts
94 → 2

localize17.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))) (+.f64 1.0 (*.f64 v v)))
0.0b
(*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))
0.2b
(*.f64 (*.f64 v v) 6.0)
1.0b
(/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4)))))

rewrite73.0ms (3.6%)

Algorithm
1×rewrite-expression-head
Rules
52×add-exp-log_binary64 add-cbrt-cube_binary64
26×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
22×associate-*l*_binary64
20×pow1_binary64
18×flip3--_binary64 flip--_binary64 sqrt-div_binary64
16×associate-/r/_binary64
15×add-sqr-sqrt_binary64
14×frac-times_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow-prod-down_binary64
8×cbrt-undiv_binary64 div-exp_binary64
7×associate-*r*_binary64 associate-*l/_binary64
6×times-frac_binary64
5×distribute-lft-in_binary64 distribute-rgt-in_binary64
4×add-log-exp_binary64 sub-neg_binary64
3×associate-/l*_binary64 sqrt-prod_binary64 *-commutative_binary64
2×flip3-+_binary64 unswap-sqr_binary64 div-inv_binary64 flip-+_binary64
1×associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 133
Calls

4 calls:

23.0ms
(*.f64 (/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))) (+.f64 1.0 (*.f64 v v)))
20.0ms
(/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4)))))
16.0ms
(*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))
7.0ms
(*.f64 (*.f64 v v) 6.0)

series76.0ms (3.8%)

Counts
4 → 12
Calls

4 calls:

27.0ms
(*.f64 (/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))) (+.f64 1.0 (*.f64 v v)))
22.0ms
(/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4)))))
21.0ms
(*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))
5.0ms
(*.f64 (*.f64 v v) 6.0)

simplify95.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049753633
149753633

prune320.0ms (15.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh000
Picked011
Done011
Total1452147

Merged error: 0b

Counts
147 → 2

regimes54.0ms (2.7%)

Accuracy

Total 0.0b remaining (52.1%)

Threshold costs 0.0b (52.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05520
15520

end0.0ms (0%)

sample496.0ms (24.5%)

Algorithm
1×intervals
Results
401.0ms8000×body80valid
0.0ms4×body80nan

Profiling

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