Details

analyze695.0ms (9.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
68.7%	31.2%	0%	5
71.8%	28.1%	0%	6
73.4%	26.5%	0%	7
74.2%	25.8%	0%	8
74.6%	25.4%	0%	9
74.8%	25.2%	0%	10
74.9%	25.1%	0%	11
74.9%	25%	0%	12
74.9%	25%	0%	13
75%	25%	0%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample125.0ms (1.8%)

Algorithm

1×

intervals

Results

58.0ms	87×	body	1024	valid
24.0ms	36×	body	2048	valid
19.0ms	50×	body	512	valid
5.0ms	25×	body	256	valid
5.0ms	58×	body	128	valid

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

prune5.0ms (0.1%)

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

Error

54.4b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.4b	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
2.9b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
11.9b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_2806`
6×	`add-sqr-sqrt_binary64_2828`
5×	`add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
4×	`add-exp-log_binary64_2844` `log-prod_binary64_2892`
3×	`add-cbrt-cube_binary64_2842` `flip-+_binary64_2780` `flip3-+_binary64_2809` `sqrt-prod_binary64_2822`
2×	`sqrt-div_binary64_2823` `distribute-lft-out_binary64_2757` `log-div_binary64_2893`
1×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-log-exp_binary64_2847` `rem-sqrt-square_binary64_2819` `sum-log_binary64_2897` `log-pow_binary64_2895` `+-commutative_binary64_2736`

Counts

3 → 42

Calls

3 calls:

14.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))
13.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
12.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

series304.0ms (4.3%)

Counts

3 → 24

Calls

3 calls:

125.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
107.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
72.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 406 to 363 computations (10.6% saved)

simplify166.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4901	991
1	4901	991

prune152.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Error

Counts

67 → 4

Compiler

Compiled 897 to 593 computations (33.9% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
0.4b	(/.f64 1/8 (pow.f64 x 3))
8.8b	(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))

rewrite149.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`*-un-lft-identity_binary64_2806`
40×	`times-frac_binary64_2812`
29×	`add-sqr-sqrt_binary64_2828` `add-cube-cbrt_binary64_2841`
12×	`associate-/r*_binary64_2750` `cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
9×	`add-exp-log_binary64_2844`
5×	`add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845` `log-prod_binary64_2892`
4×	`distribute-lft-out_binary64_2757` `unpow3_binary64_2872` `sqr-pow_binary64_2778` `cube-mult_binary64_2836` `pow1_binary64_2867`
3×	`div-exp_binary64_2857` `log-div_binary64_2893` `associate-/l*_binary64_2751`
2×	`flip-+_binary64_2780` `frac-add_binary64_2814` `flip3-+_binary64_2809`
1×	`pow-exp_binary64_2874` `div-inv_binary64_2803` `cbrt-undiv_binary64_2840` `rem-log-exp_binary64_2847` `pow-to-exp_binary64_2875` `sum-log_binary64_2897` `clear-num_binary64_2805` `log-pow_binary64_2895` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

3 → 96

Calls

3 calls:

66.0ms	(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
57.0ms	(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
11.0ms	(/.f64 1/8 (pow.f64 x 3))

series255.0ms (3.6%)

Counts

3 → 13

Calls

3 calls:

120.0ms	(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
76.0ms	(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
58.0ms	(/.f64 1/8 (pow.f64 x 3))

Compiler

Compiled 245 to 228 computations (6.9% saved)

simplify146.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5191	1577

prune205.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Error

Counts

113 → 4

Compiler

Compiled 1658 to 1282 computations (22.7% saved)

localize12.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes330.0ms (4.7%)

Accuracy

Total 0.4b remaining (82.8%)

Threshold costs 0.4b (82.8%)

Compiler

Compiled 1052 to 798 computations (24.1% saved)

bsearch69.0ms (1%)

Steps

Iters	Range		Point
10	1.7538969085846463e-11	138905.36312667653	0.793921669178699
10	-53.66808320684016	-3.1240262115183002e-09	-0.9748002660178183

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	40
1	25	40

end0.0ms (0%)

sample4.3s (61%)

Algorithm

1×

intervals

Results

1.6s	2500×	body	1024	valid
696.0ms	1179×	body	2048	valid
487.0ms	1291×	body	512	valid
206.0ms	2362×	body	128	valid
133.0ms	627×	body	256	valid
34.0ms	41×	body	4096	valid

Compiler

Compiled 346 to 263 computations (24% saved)

Details

analyze695.0ms (9.9%)

sample125.0ms (1.8%)

simplify15.0ms (0.2%)

prune5.0ms (0.1%)

localize14.0ms (0.2%)

rewrite45.0ms (0.6%)

series304.0ms (4.3%)

simplify166.0ms (2.4%)

prune152.0ms (2.2%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify17.0ms (0.2%)

prune7.0ms (0.1%)

localize16.0ms (0.2%)

rewrite149.0ms (2.1%)

series255.0ms (3.6%)

simplify146.0ms (2.1%)

prune205.0ms (2.9%)

localize12.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify15.0ms (0.2%)

prune1.0ms (0%)

regimes330.0ms (4.7%)

bsearch69.0ms (1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample4.3s (61%)

Profiling