Details

Time bar (total: 1.6s)

analyze4.0ms (0.2%)

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
75%18.7%6.3%5
75%9.4%15.7%6
75%4.7%20.4%7
75%2.3%22.7%8
75%1.2%23.9%9
75%0.6%24.5%10
75%0.3%24.7%11
75%0.1%24.9%12
75%0.1%25%13
75%0%25%14

sample9.0ms (0.6%)

Algorithm
1×intervals
Results
4.0ms256×body80valid

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
065
165

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.8b
(/.f64 1.0 (*.f64 x x))

rewrite10.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-exp-log_binary64 add-cbrt-cube_binary64
3×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 associate-/l*_binary64 times-frac_binary64
2×cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
1 → 21
Calls

1 calls:

9.0ms
(/.f64 1.0 (*.f64 x x))

series4.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

4.0ms
(/.f64 1.0 (*.f64 x x))

simplify55.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05024152

prune34.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New21324
Fresh000
Picked011
Done000
Total21425

Merged error: 0.1b

Counts
25 → 4

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(/.f64 (/.f64 1.0 x) x)

rewrite10.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
13×associate-/l*_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
5×div-inv_binary64
3×associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64
1×associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
Counts
1 → 70
Calls

1 calls:

7.0ms
(/.f64 (/.f64 1.0 x) x)

series7.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

7.0ms
(/.f64 (/.f64 1.0 x) x)

simplify113.0ms (7.1%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
04714702
14714702

prune99.0ms (6.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New68573
Fresh022
Picked011
Done011
Total68977

Merged error: 0.0b

Counts
77 → 9

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (/.f64 1.0 x)) (cbrt.f64 (/.f64 1.0 x)))
0.6b
(cbrt.f64 (/.f64 1.0 x))
0.6b
(cbrt.f64 (/.f64 1.0 x))
0.6b
(cbrt.f64 (/.f64 1.0 x))

rewrite29.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
103×cbrt-prod_binary64
81×add-sqr-sqrt_binary64
69×times-frac_binary64
57×*-un-lft-identity_binary64 add-cube-cbrt_binary64
16×swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64
11×pow1_binary64
9×pow1/3_binary64 unswap-sqr_binary64
7×cbrt-div_binary64 div-inv_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 144
Calls

4 calls:

14.0ms
(*.f64 (cbrt.f64 (/.f64 1.0 x)) (cbrt.f64 (/.f64 1.0 x)))
3.0ms
(cbrt.f64 (/.f64 1.0 x))
3.0ms
(cbrt.f64 (/.f64 1.0 x))
3.0ms
(cbrt.f64 (/.f64 1.0 x))

series96.0ms (6.1%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(*.f64 (cbrt.f64 (/.f64 1.0 x)) (cbrt.f64 (/.f64 1.0 x)))
24.0ms
(cbrt.f64 (/.f64 1.0 x))
22.0ms
(cbrt.f64 (/.f64 1.0 x))
22.0ms
(cbrt.f64 (/.f64 1.0 x))

simplify89.0ms (5.6%)

Algorithm
1×egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
048921524
148921524

prune235.0ms (14.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1533156
Fresh246
Picked011
Done022
Total15510165

Merged error: 0.0b

Counts
165 → 10

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (/.f64 1.0 x)) (cbrt.f64 (/.f64 1.0 x)))
0.6b
(cbrt.f64 (/.f64 1.0 x))
0.6b
(cbrt.f64 (/.f64 1.0 x))
0.6b
(cbrt.f64 x)

rewrite26.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
93×cbrt-prod_binary64
75×add-sqr-sqrt_binary64
60×times-frac_binary64
51×*-un-lft-identity_binary64 add-cube-cbrt_binary64
16×swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64
11×pow1_binary64
9×pow1/3_binary64 unswap-sqr_binary64
6×cbrt-div_binary64 add-exp-log_binary64 div-inv_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 133
Calls

4 calls:

13.0ms
(*.f64 (cbrt.f64 (/.f64 1.0 x)) (cbrt.f64 (/.f64 1.0 x)))
3.0ms
(cbrt.f64 (/.f64 1.0 x))
3.0ms
(cbrt.f64 (/.f64 1.0 x))
1.0ms
(cbrt.f64 x)

series93.0ms (5.9%)

Counts
4 → 12
Calls

4 calls:

28.0ms
(*.f64 (cbrt.f64 (/.f64 1.0 x)) (cbrt.f64 (/.f64 1.0 x)))
25.0ms
(cbrt.f64 (/.f64 1.0 x))
21.0ms
(cbrt.f64 (/.f64 1.0 x))
19.0ms
(cbrt.f64 x)

simplify78.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049121369
149121369

prune205.0ms (12.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1432145
Fresh246
Picked011
Done033
Total14510155

Merged error: 0.0b

Counts
155 → 10

regimes126.0ms (8%)

Accuracy

Total 0.2b remaining (90.6%)

Threshold costs 0.2b (90.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
145

end0.0ms (0%)

sample227.0ms (14.3%)

Algorithm
1×intervals
Results
142.0ms8000×body80valid
0.0ms2×body80invalid

Profiling

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