Details

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
81.2%	18.7%	0%	6
100%	0%	0%	7

sample44.0ms

Algorithm

intervals

Results

35.0ms

256×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4938	73
1	4938	73

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 27.1b

Counts

2 → 2

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 0.0001789971 (pow.f64 x 10))
0.2b	(*.f64 (pow.f64 x 10) 0.0008327945)
14.3b	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (*.f64 0.0001789971 2.0) (pow.f64 x 12)))))
26.6b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
25×	`associate-r_binary64`
21×	`add-exp-log_binary64`
19×	`times-frac_binary64`
15×	`add-cbrt-cube_binary64`
13×	`associate-l_binary64`
8×	`unswap-sqr_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-/l_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 115

Calls

4 calls:

5.0ms	(*.f64 0.0001789971 (pow.f64 x 10))
5.0ms	(*.f64 (pow.f64 x 10) 0.0008327945)
32.0ms	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (*.f64 0.0001789971 2.0) (pow.f64 x 12)))))
38.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 0.0001789971 (pow.f64 x 10))
9.0ms	(*.f64 (pow.f64 x 10) 0.0008327945)
32.0ms	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (*.f64 0.0001789971 2.0) (pow.f64 x 12)))))
31.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))

simplify57.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5012	6112

prune618.0ms

Filtered

93 candidates to 127 candidates (-36.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	126	3	129

Merged error: 0b

Counts

129 → 3

localize56.0ms

Local error

Found 4 expressions with local error:

1.9b	(sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))
14.3b	(.f64 x (.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12)))))))
21.1b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12)))))
24.7b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (*.f64 0.0001789971 2.0) (pow.f64 x 12))))))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt_binary64`
76×	`times-frac_binary64`
60×	`add-exp-log_binary64`
53×	`*-un-lft-identity_binary64`
47×	`add-cube-cbrt_binary64`
44×	`sqrt-prod_binary64`
36×	`add-cbrt-cube_binary64`
27×	`associate-l_binary64`
25×	`associate-r_binary64` `prod-exp_binary64`
17×	`div-exp_binary64`
15×	`unswap-sqr_binary64`
13×	`cbrt-unprod_binary64`
12×	`pow1_binary64`
9×	`cbrt-undiv_binary64`
8×	`sqrt-div_binary64`
6×	`associate-/r*_binary64` `associate-/r/_binary64`
5×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 176

Calls

4 calls:

19.0ms	(sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))
56.0ms	(.f64 x (.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12)))))))
39.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12)))))
70.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (*.f64 0.0001789971 2.0) (pow.f64 x 12))))))

series118.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))
37.0ms	(.f64 x (.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12)))))))
33.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12)))))
30.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (.f64 0.0001789971 2.0) (pow.f64 x 12))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 0.1049934947 (.f64 x x))) (.f64 0.0424060604 (pow.f64 x 4))) (.f64 0.0072644182 (pow.f64 x 6))) (.f64 0.0005064034 (pow.f64 x 8))) (.f64 0.0001789971 (pow.f64 x 10))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1.0 (.f64 (.f64 x x) 0.7715471019)) (.f64 (pow.f64 x 4) 0.2909738639)) (.f64 (pow.f64 x 6) 0.0694555761)) (.f64 (pow.f64 x 8) 0.0140005442)) (.f64 (pow.f64 x 10) 0.0008327945)) (.f64 (*.f64 0.0001789971 2.0) (pow.f64 x 12))))))

simplify144.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4950	18231
1	4950	18231

prune1.5s

Filtered

116 candidates to 188 candidates (-62.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	188	3	191

Merged error: 0b

Counts

191 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 0.2514179000665375 (pow.f64 x 3)) (+.f64 (/.f64 0.15298196345929327 (pow.f64 x 5)) (/.f64 0.5 x)))
0.2b	(/.f64 0.15298196345929327 (pow.f64 x 5))
0.3b	(/.f64 0.2514179000665375 (pow.f64 x 3))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac_binary64`
55×	`*-un-lft-identity_binary64`
44×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`unpow-prod-down_binary64`
19×	`associate-/r*_binary64`
13×	`add-exp-log_binary64`
12×	`cube-prod_binary64`
8×	`add-log-exp_binary64` `sqr-pow_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-exp_binary64`
5×	`distribute-lft-out_binary64`
4×	`frac-add_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`pow1_binary64` `sum-log_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`+-commutative_binary64` `associate-+r+_binary64`

Counts

3 → 129

Calls

3 calls:

40.0ms	(+.f64 (/.f64 0.2514179000665375 (pow.f64 x 3)) (+.f64 (/.f64 0.15298196345929327 (pow.f64 x 5)) (/.f64 0.5 x)))
5.0ms	(/.f64 0.15298196345929327 (pow.f64 x 5))
5.0ms	(/.f64 0.2514179000665375 (pow.f64 x 3))

series20.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 (/.f64 0.2514179000665375 (pow.f64 x 3)) (+.f64 (/.f64 0.15298196345929327 (pow.f64 x 5)) (/.f64 0.5 x)))
7.0ms	(/.f64 0.15298196345929327 (pow.f64 x 5))
6.0ms	(/.f64 0.2514179000665375 (pow.f64 x 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5159	1498

prune127.0ms

Filtered

85 candidates to 138 candidates (-62.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	138	3	141

Merged error: 0b

Counts

141 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 0.15298196345929327 (pow.f64 x 6))
0.0b	(/.f64 0.2514179000665375 (pow.f64 x 4))
0.4b	(/.f64 0.5 (*.f64 x x))
15.5b	(.f64 x (+.f64 (/.f64 0.15298196345929327 (pow.f64 x 6)) (+.f64 (/.f64 0.5 (.f64 x x)) (/.f64 0.2514179000665375 (pow.f64 x 4)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64` `times-frac_binary64`
42×	`add-sqr-sqrt_binary64`
40×	`add-cube-cbrt_binary64`
24×	`unpow-prod-down_binary64`
21×	`add-exp-log_binary64`
15×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
9×	`associate-/l*_binary64`
8×	`sqr-pow_binary64` `div-exp_binary64`
6×	`pow1_binary64`
5×	`associate-r_binary64` `associate-*r/_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `frac-add_binary64`
3×	`distribute-lft-out_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 138

Calls

4 calls:

5.0ms	(/.f64 0.15298196345929327 (pow.f64 x 6))
5.0ms	(/.f64 0.2514179000665375 (pow.f64 x 4))
5.0ms	(/.f64 0.5 (*.f64 x x))
29.0ms	(.f64 x (+.f64 (/.f64 0.15298196345929327 (pow.f64 x 6)) (+.f64 (/.f64 0.5 (.f64 x x)) (/.f64 0.2514179000665375 (pow.f64 x 4)))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/.f64 0.15298196345929327 (pow.f64 x 6))
5.0ms	(/.f64 0.2514179000665375 (pow.f64 x 4))
4.0ms	(/.f64 0.5 (*.f64 x x))
10.0ms	(.f64 x (+.f64 (/.f64 0.15298196345929327 (pow.f64 x 6)) (+.f64 (/.f64 0.5 (.f64 x x)) (/.f64 0.2514179000665375 (pow.f64 x 4)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5599	1599

prune144.0ms

Filtered

95 candidates to 150 candidates (-57.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	150	3	153

Merged error: 0b

Counts

153 → 3

regimes51.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.0b

bsearch66.0ms

Steps

Iters	Range		Point
10	4869182.832930685	1.4482933346023836e+21	39879067.879498824
8	-2059.9896197063636	-0.17031860657869693	-1972.1349771299758

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	102	141
1	102	141

end0.0ms

sample1.1s

Algorithm

intervals

Results

953.0ms

8000×

body

valid

Details

analyze8.0ms

sample44.0ms

simplify93.0ms

prune12.0ms

localize50.0ms

rewrite85.0ms

series80.0ms

simplify57.0ms

prune618.0ms

localize56.0ms

rewrite195.0ms

series118.0ms

simplify144.0ms

prune1.5s

localize11.0ms

rewrite55.0ms

series20.0ms

simplify36.0ms

prune127.0ms

localize15.0ms

rewrite48.0ms

series27.0ms

simplify42.0ms

prune144.0ms

regimes51.0ms

bsearch66.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling