Details

analyze666.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5013	192
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample62.0ms (0.4%)

Algorithm

1×

intervals

Results

42.0ms	238×	body	256	valid
2.0ms	28×	body	128	nan
2.0ms	18×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify235.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (229.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune8.0ms (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

34.7b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.8b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.2b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite203.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

31.4b

Rules

10×	`cbrt-div_binary64_2497`
8×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `sqrt-div_binary64_2482` `flip--_binary64_2440` `frac-times_binary64_2475` `associate-*r/_binary64_2407`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `difference-of-squares_binary64_2434` `rem-sqrt-square_binary64_2478` `pow1/3_binary64_2547` `associate-*l/_binary64_2408` `cbrt-prod_binary64_2496` `flip3-+_binary64_2468` `flip-+_binary64_2439`

Counts

4 → 60

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2998 to 1039 computations (65.3% saved)

series1.7s (10.7%)

Error

31.3b

Counts

4 → 37

Calls

4 calls:

705.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
690.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
96.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
80.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4552 to 3405 computations (25.2% saved)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5236	2299

prune279.0ms (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	77	20	97
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	79	20	99

Error

30.8b

Counts

99 → 20

Compiler

Compiled 4969 to 2205 computations (55.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(-.f64 (.f64 g g) (.f64 h h))
8.2b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite159.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

30.8b

Rules

8×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
5×	`flip3--_binary64_2469` `flip--_binary64_2440` `cbrt-div_binary64_2497`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `frac-times_binary64_2475` `associate-*r/_binary64_2407`
1×	`pow1/3_binary64_2547` `associate-*l/_binary64_2408` `cbrt-prod_binary64_2496` `diff-log_binary64_2557` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 59

Calls

4 calls:

17.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2702 to 910 computations (66.3% saved)

series1.1s (7.3%)

Error

29.7b

Counts

4 → 40

Calls

4 calls:

697.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
162.0ms	(-.f64 (.f64 g g) (.f64 h h))
100.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
93.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4093 to 2946 computations (28% saved)

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4959	1751
1	4959	1751

prune238.0ms (1.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	87	12	99
Fresh	10	9	19
Picked	1	0	1
Done	0	0	0
Total	98	21	119

Error

29.6b

Counts

119 → 21

Compiler

Compiled 4720 to 1994 computations (57.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(-.f64 (.f64 g g) (.f64 h h))
4.6b	(-.f64 (.f64 g g) (.f64 h h))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite132.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

Rules

8×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `sqrt-div_binary64_2482` `flip--_binary64_2440` `difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `diff-log_binary64_2557` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 58

Calls

4 calls:

5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2468 to 775 computations (68.6% saved)

series552.0ms (3.6%)

Error

29.6b

Counts

4 → 41

Calls

4 calls:

160.0ms	(-.f64 (.f64 g g) (.f64 h h))
157.0ms	(-.f64 (.f64 g g) (.f64 h h))
91.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
80.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3554 to 2422 computations (31.9% saved)

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4934	1194
1	4934	1194

prune214.0ms (1.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	3	17	20
Picked	0	1	1
Done	0	0	0
Total	98	22	120

Error

29.6b

Counts

120 → 22

Compiler

Compiled 4476 to 1764 computations (60.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(-.f64 (.f64 g g) (.f64 h h))
4.6b	(-.f64 (.f64 g g) (.f64 h h))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite132.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

Rules

8×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `sqrt-div_binary64_2482` `flip--_binary64_2440` `difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `diff-log_binary64_2557` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 58

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2584 to 948 computations (63.3% saved)

series592.0ms (3.8%)

Error

29.6b

Counts

4 → 41

Calls

4 calls:

169.0ms	(-.f64 (.f64 g g) (.f64 h h))
161.0ms	(-.f64 (.f64 g g) (.f64 h h))
96.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
87.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3766 to 2674 computations (29% saved)

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4934	1194
1	4934	1194

prune182.0ms (1.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	20	20
Picked	1	0	1
Done	1	0	1
Total	97	24	121

Error

29.6b

Counts

121 → 24

Compiler

Compiled 3807 to 1544 computations (59.4% saved)

regimes3.3s (21.2%)

Accuracy

Total 1.0b remaining (3.3%)

Threshold costs 0b (0%)

Compiler

Compiled 42956 to 27138 computations (36.8% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	156	270
1	156	270

end0.0ms (0%)

sample5.4s (35%)

Algorithm

1×

intervals

Results

1.3s	7580×	body	256	valid
102.0ms	1205×	body	128	nan
38.0ms	420×	body	128	valid

Compiler

Compiled 5757 to 3638 computations (36.8% saved)

Details

analyze666.0ms (4.3%)

sample62.0ms (0.4%)

simplify235.0ms (1.5%)

prune8.0ms (0.1%)

localize19.0ms (0.1%)

rewrite203.0ms (1.3%)

series1.7s (10.7%)

simplify53.0ms (0.3%)

prune279.0ms (1.8%)

localize22.0ms (0.1%)

rewrite159.0ms (1%)

series1.1s (7.3%)

simplify62.0ms (0.4%)

prune238.0ms (1.5%)

localize18.0ms (0.1%)

rewrite132.0ms (0.9%)

series552.0ms (3.6%)

simplify69.0ms (0.4%)

prune214.0ms (1.4%)

localize22.0ms (0.1%)

rewrite132.0ms (0.9%)

series592.0ms (3.8%)

simplify66.0ms (0.4%)

prune182.0ms (1.2%)

regimes3.3s (21.2%)

bsearch13.0ms (0.1%)

simplify6.0ms (0%)

end0.0ms (0%)

sample5.4s (35%)

Profiling