Details

analyze597.0ms (4.6%)

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)

sample57.0ms (0.4%)

Algorithm

1×

intervals

Results

38.0ms	240×	body	256	valid
3.0ms	44×	body	128	nan
1.0ms	16×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify234.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (229.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune6.0ms (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

Error

35.4b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.8b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite171.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

32.4b

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))))))
13.0ms	(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)))

Compiler

Compiled 2998 to 1039 computations (65.3% saved)

series1.1s (8.2%)

Error

32.1b

Counts

4 → 38

Calls

4 calls:

435.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
421.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
70.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
70.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4366 to 3221 computations (26.2% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4989	2097
1	4989	2097

prune215.0ms (1.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	80	18	98
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	82	18	100

Error

31.6b

Counts

100 → 18

Compiler

Compiled 4771 to 2062 computations (56.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.8b	(-.f64 (.f64 g g) (.f64 h h))
5.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite134.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

31.3b

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×	`cbrt-div_binary64_2497`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `flip3-+_binary64_2468` `frac-times_binary64_2475` `flip-+_binary64_2439` `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))))))
5.0ms	(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 2761 to 921 computations (66.6% saved)

series776.0ms (5.9%)

Error

31.1b

Counts

4 → 40

Calls

4 calls:

452.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
118.0ms	(-.f64 (.f64 g g) (.f64 h h))
75.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
70.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4070 to 2862 computations (29.7% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4918	1623
1	4918	1623

prune200.0ms (1.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	96	21	117

Error

31.1b

Counts

117 → 21

Compiler

Compiled 4767 to 1975 computations (58.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.8b	(-.f64 (.f64 g g) (.f64 h h))
3.8b	(-.f64 (.f64 g g) (.f64 h h))
30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite109.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

31.1b

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

Compiler

Compiled 2642 to 949 computations (64.1% saved)

series436.0ms (3.3%)

Error

31.1b

Counts

4 → 42

Calls

4 calls:

116.0ms	(-.f64 (.f64 g g) (.f64 h h))
113.0ms	(-.f64 (.f64 g g) (.f64 h h))
76.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
69.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3938 to 2782 computations (29.4% saved)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4953	1192
1	4953	1192

prune178.0ms (1.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	101	20	121

Error

31.1b

Counts

121 → 20

Compiler

Compiled 4824 to 2067 computations (57.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.8b	(-.f64 (.f64 g g) (.f64 h h))
5.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite124.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

31.1b

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×	`cbrt-div_binary64_2497`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `flip3-+_binary64_2468` `frac-times_binary64_2475` `flip-+_binary64_2439` `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:

14.0ms	(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 2761 to 921 computations (66.6% saved)

series761.0ms (5.8%)

Error

31.1b

Counts

4 → 40

Calls

4 calls:

443.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
113.0ms	(-.f64 (.f64 g g) (.f64 h h))
74.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
71.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4070 to 2862 computations (29.7% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4918	1623
1	4918	1623

prune141.0ms (1.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	98	21	119

Error

31.1b

Counts

119 → 21

Compiler

Compiled 3842 to 1437 computations (62.6% saved)

regimes2.6s (19.7%)

Accuracy

Total 1.8b remaining (5.7%)

Threshold costs 0b (0%)

Compiler

Compiled 40466 to 25087 computations (38% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	54
1	67	54

end0.0ms (0%)

sample4.9s (37.6%)

Algorithm

1×

intervals

Results

1.3s	7568×	body	256	valid
106.0ms	1277×	body	128	nan
39.0ms	432×	body	128	valid

Compiler

Compiled 5228 to 3259 computations (37.7% saved)

Details

analyze597.0ms (4.6%)

sample57.0ms (0.4%)

simplify234.0ms (1.8%)

prune6.0ms (0%)

localize22.0ms (0.2%)

rewrite171.0ms (1.3%)

series1.1s (8.2%)

simplify69.0ms (0.5%)

prune215.0ms (1.6%)

localize21.0ms (0.2%)

rewrite134.0ms (1%)

series776.0ms (5.9%)

simplify81.0ms (0.6%)

prune200.0ms (1.5%)

localize23.0ms (0.2%)

rewrite109.0ms (0.8%)

series436.0ms (3.3%)

simplify50.0ms (0.4%)

prune178.0ms (1.4%)

localize23.0ms (0.2%)

rewrite124.0ms (0.9%)

series761.0ms (5.8%)

simplify79.0ms (0.6%)

prune141.0ms (1.1%)

regimes2.6s (19.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.9s (37.6%)

Profiling