Details

analyze2.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

sample12.0ms (1%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify124.0ms (10.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4761	7
1	4761	7

prune5.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
2×	`cube-mult_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `distribute-rgt-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-rgt1-in_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `sum-log_binary64`

Counts

1 → 14

Calls

1 calls:

6.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

series16.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

16.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

simplify62.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4951	140
1	4951	140

prune27.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0b

Counts

18 → 4

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 x (+.f64 x (.f64 x x)))

rewrite7.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-rgt-out_binary64` `distribute-lft-in_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 x (*.f64 x x)))

series10.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(*.f64 x (+.f64 x (*.f64 x x)))

simplify52.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4951	209
1	4951	209

prune30.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize6.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))
0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
27.9b	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
27.9b	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))

rewrite42.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`sqrt-prod_binary64`
28×	`add-sqr-sqrt_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64` `cube-mult_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`swap-sqr_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `distribute-rgt-out_binary64` `associate-l_binary64` `flip-+_binary64` `unpow3_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 118

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
7.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
7.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
6.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))

series35.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
10.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
8.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
6.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))

simplify59.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5724	1266

prune149.0ms (12.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	130	4	134

Merged error: 0b

Counts

134 → 4

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))
0.1b	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)
21.9b	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))

rewrite24.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `cube-mult_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`unpow3_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out_binary64` `distribute-rgt-out_binary64` `distribute-rgt1-in_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

3 → 74

Calls

3 calls:

8.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
8.0ms	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)
6.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))

series28.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
10.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
5.0ms	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)

simplify59.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5125	845

prune84.0ms (6.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	4	87

Merged error: 0b

Counts

87 → 4

regimes29.0ms (2.4%)

Accuracy

Total 0.0b remaining (81.6%)

Threshold costs 0.0b (81.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample334.0ms (27.3%)

Algorithm

1×

intervals

Results

142.0ms	8000×	body	80	valid
102.0ms	8000×	pre	80	true

Details

analyze2.0ms (0.2%)

sample12.0ms (1%)

simplify124.0ms (10.1%)

prune5.0ms (0.4%)

localize4.0ms (0.3%)

rewrite7.0ms (0.5%)

series16.0ms (1.3%)

simplify62.0ms (5.1%)

prune27.0ms (2.2%)

localize4.0ms (0.3%)

rewrite7.0ms (0.6%)

series10.0ms (0.8%)

simplify52.0ms (4.3%)

prune30.0ms (2.5%)

localize6.0ms (0.5%)

rewrite42.0ms (3.5%)

series35.0ms (2.9%)

simplify59.0ms (4.8%)

prune149.0ms (12.2%)

localize7.0ms (0.5%)

rewrite24.0ms (2%)

series28.0ms (2.3%)

simplify59.0ms (4.9%)

prune84.0ms (6.9%)

regimes29.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample334.0ms (27.3%)

Profiling