Details

Time bar (total: 1.2s)

analyze4.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.8%0.1%0.1%12
99.8%0%0.1%13
99.8%0%0.2%14

sample12.0ms (1%)

Algorithm
1×intervals
Results
7.0ms256×body80valid

simplify5.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0219
1219

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))
0.2b
(*.f64 (/.f64 841.0 108.0) x)

rewrite16.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
13×associate-*l*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 pow1_binary64
3×associate-*r*_binary64
2×cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 frac-add_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 44
Calls

2 calls:

8.0ms
(+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))
7.0ms
(*.f64 (/.f64 841.0 108.0) x)

series8.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

5.0ms
(+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))
3.0ms
(*.f64 (/.f64 841.0 108.0) x)

simplify54.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04950401
14950401

prune76.0ms (6.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New48250
Fresh000
Picked011
Done000
Total48351

Merged error: 0b

Counts
51 → 3

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 841.0 (/.f64 x 108.0)) (/.f64 4.0 29.0))
0.3b
(*.f64 841.0 (/.f64 x 108.0))

rewrite17.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 pow1_binary64
3×associate-*l*_binary64
2×cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64
1×pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 frac-add_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 44
Calls

2 calls:

8.0ms
(+.f64 (*.f64 841.0 (/.f64 x 108.0)) (/.f64 4.0 29.0))
7.0ms
(*.f64 841.0 (/.f64 x 108.0))

series8.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

5.0ms
(+.f64 (*.f64 841.0 (/.f64 x 108.0)) (/.f64 4.0 29.0))
3.0ms
(*.f64 841.0 (/.f64 x 108.0))

simplify56.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04983407
14983407

prune66.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh011
Picked011
Done011
Total50353

Merged error: 0b

Counts
53 → 3

localize11.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 841.0 108.0)) (cbrt.f64 (/.f64 841.0 108.0))) (*.f64 x (cbrt.f64 (/.f64 841.0 108.0)))) (/.f64 4.0 29.0))
0.1b
(*.f64 x (cbrt.f64 (/.f64 841.0 108.0)))
0.4b
(*.f64 (*.f64 (cbrt.f64 (/.f64 841.0 108.0)) (cbrt.f64 (/.f64 841.0 108.0))) (*.f64 x (cbrt.f64 (/.f64 841.0 108.0))))
1.0b
(*.f64 (cbrt.f64 (/.f64 841.0 108.0)) (cbrt.f64 (/.f64 841.0 108.0)))

rewrite64.0ms (5.4%)

Algorithm
1×rewrite-expression-head
Rules
79×cbrt-prod_binary64
76×add-sqr-sqrt_binary64
52×times-frac_binary64
45×*-un-lft-identity_binary64 add-cube-cbrt_binary64
33×associate-*r*_binary64
29×cbrt-div_binary64
25×pow1_binary64
20×add-exp-log_binary64 associate-*l*_binary64
16×swap-sqr_binary64 associate-*r/_binary64
12×unswap-sqr_binary64
11×pow-prod-down_binary64 add-cbrt-cube_binary64 frac-times_binary64 associate-*l/_binary64
10×cbrt-unprod_binary64 prod-exp_binary64
7×frac-add_binary64
6×add-log-exp_binary64 pow1/3_binary64
5×div-inv_binary64
3×*-commutative_binary64
2×pow-prod-up_binary64 pow-sqr_binary64
1×flip3-+_binary64 pow-plus_binary64 +-commutative_binary64 flip-+_binary64 pow2_binary64 sum-log_binary64
Counts
4 → 159
Calls

4 calls:

19.0ms
(+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 841.0 108.0)) (cbrt.f64 (/.f64 841.0 108.0))) (*.f64 x (cbrt.f64 (/.f64 841.0 108.0)))) (/.f64 4.0 29.0))
15.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 841.0 108.0)) (cbrt.f64 (/.f64 841.0 108.0))) (*.f64 x (cbrt.f64 (/.f64 841.0 108.0))))
13.0ms
(*.f64 (cbrt.f64 (/.f64 841.0 108.0)) (cbrt.f64 (/.f64 841.0 108.0)))
9.0ms
(*.f64 x (cbrt.f64 (/.f64 841.0 108.0)))

series37.0ms (3.2%)

Counts
4 → 10
Calls

4 calls:

15.0ms
(+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 841.0 108.0)) (cbrt.f64 (/.f64 841.0 108.0))) (*.f64 x (cbrt.f64 (/.f64 841.0 108.0)))) (/.f64 4.0 29.0))
13.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 841.0 108.0)) (cbrt.f64 (/.f64 841.0 108.0))) (*.f64 x (cbrt.f64 (/.f64 841.0 108.0))))
9.0ms
(*.f64 x (cbrt.f64 (/.f64 841.0 108.0)))
0.0ms
(*.f64 (cbrt.f64 (/.f64 841.0 108.0)) (cbrt.f64 (/.f64 841.0 108.0)))

simplify43.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
051011823

prune299.0ms (25.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1690169
Fresh000
Picked011
Done022
Total1693172

Merged error: 0b

Counts
172 → 3

regimes88.0ms (7.4%)

Accuracy

Total 0.1b remaining (90.5%)

Threshold costs 0.1b (90.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0119
1119

end0.0ms (0%)

sample305.0ms (25.7%)

Algorithm
1×intervals
Results
215.0ms7995×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms2×body160valid
0.0ms2×body80invalid

Profiling

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