Details

analyze765.0ms (4.9%)

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)

sample61.0ms (0.4%)

Algorithm

1×

intervals

Results

42.0ms	235×	body	256	valid
3.0ms	35×	body	128	nan
2.0ms	21×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify261.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (255.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune10.0ms (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

35.4b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.6b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
10.5b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite213.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

31.1b

Rules

10×	`cbrt-div_binary64_4884`
8×	`add-sqr-sqrt_binary64_4874` `sqrt-prod_binary64_4868`
6×	`pow1_binary64_4913` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
4×	`add-log-exp_binary64_4891` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `flip3--_binary64_4856` `sqrt-div_binary64_4869` `flip--_binary64_4827` `frac-times_binary64_4862` `associate-*r/_binary64_4794`
2×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `difference-of-squares_binary64_4821` `rem-sqrt-square_binary64_4865` `pow1/3_binary64_4934` `associate-*l/_binary64_4795` `cbrt-prod_binary64_4883` `flip3-+_binary64_4855` `flip-+_binary64_4826`

Counts

4 → 60

Calls

4 calls:

16.0ms	(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)

series1.2s (7.6%)

Error

31.3b

Counts

4 → 32

Calls

4 calls:

529.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
462.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
79.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
52.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3710 to 2748 computations (25.9% saved)

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5009	1884

prune242.0ms (1.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	72	20	92
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	73	21	94

Error

30.2b

Counts

94 → 21

Compiler

Compiled 4569 to 1997 computations (56.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
7.6b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite170.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

29.8b

Rules

8×	`add-sqr-sqrt_binary64_4874` `sqrt-prod_binary64_4868`
6×	`pow1_binary64_4913` `add-log-exp_binary64_4891` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
5×	`cbrt-div_binary64_4884`
4×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `sqrt-div_binary64_4869`
3×	`flip3--_binary64_4856` `flip--_binary64_4827` `difference-of-squares_binary64_4821`
2×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `flip3-+_binary64_4855` `frac-times_binary64_4862` `flip-+_binary64_4826` `associate-*r/_binary64_4794`
1×	`pow1/3_binary64_4934` `associate-*l/_binary64_4795` `cbrt-prod_binary64_4883` `diff-log_binary64_4944` `sub-neg_binary64_4845` `cancel-sign-sub-inv_binary64_4818`

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)

series752.0ms (4.8%)

Error

29.4b

Counts

4 → 32

Calls

4 calls:

442.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
87.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
86.0ms	(-.f64 (.f64 g g) (.f64 h h))
79.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3354 to 2375 computations (29.2% saved)

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4915	1475
1	4915	1475

prune227.0ms (1.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	78	13	91
Fresh	11	9	20
Picked	1	0	1
Done	0	0	0
Total	90	22	112

Error

29.3b

Counts

112 → 22

Compiler

Compiled 4424 to 1846 computations (58.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
3.4b	(-.f64 (.f64 g g) (.f64 h h))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite137.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

29.3b

Rules

8×	`add-log-exp_binary64_4891` `add-sqr-sqrt_binary64_4874` `sqrt-prod_binary64_4868`
6×	`pow1_binary64_4913` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
4×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `flip3--_binary64_4856` `sqrt-div_binary64_4869` `flip--_binary64_4827` `difference-of-squares_binary64_4821`
2×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `diff-log_binary64_4944` `sub-neg_binary64_4845` `cancel-sign-sub-inv_binary64_4818`

Counts

4 → 58

Calls

4 calls:

8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
6.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2642 to 949 computations (64.1% saved)

series491.0ms (3.1%)

Error

29.3b

Counts

4 → 40

Calls

4 calls:

139.0ms	(-.f64 (.f64 g g) (.f64 h h))
126.0ms	(-.f64 (.f64 g g) (.f64 h h))
80.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
72.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3766 to 2666 computations (29.2% saved)

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4953	1166
1	4953	1166

prune227.0ms (1.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	98	22	120

Error

29.3b

Counts

120 → 22

Compiler

Compiled 4778 to 2059 computations (56.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
3.4b	(-.f64 (.f64 g g) (.f64 h h))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite118.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

29.3b

Rules

8×	`add-log-exp_binary64_4891` `add-sqr-sqrt_binary64_4874` `sqrt-prod_binary64_4868`
6×	`pow1_binary64_4913` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
4×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `flip3--_binary64_4856` `sqrt-div_binary64_4869` `flip--_binary64_4827` `difference-of-squares_binary64_4821`
2×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `diff-log_binary64_4944` `sub-neg_binary64_4845` `cancel-sign-sub-inv_binary64_4818`

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

Compiler

Compiled 2468 to 775 computations (68.6% saved)

series480.0ms (3.1%)

Error

29.3b

Counts

4 → 40

Calls

4 calls:

127.0ms	(-.f64 (.f64 g g) (.f64 h h))
122.0ms	(-.f64 (.f64 g g) (.f64 h h))
96.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
70.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3454 to 2354 computations (31.8% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4953	1166
1	4953	1166

prune145.0ms (0.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	2	19	21
Picked	1	0	1
Done	0	0	0
Total	97	23	120

Error

29.3b

Counts

120 → 23

Compiler

Compiled 3564 to 1223 computations (65.7% saved)

regimes3.4s (21.5%)

Accuracy

Total 1.8b remaining (5.5%)

Threshold costs 0b (0%)

Compiler

Compiled 43288 to 26052 computations (39.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	70	59
1	70	59

end0.0ms (0%)

sample6.4s (40.9%)

Algorithm

1×

intervals

Results

1.5s	7553×	body	256	valid
126.0ms	1235×	body	128	nan
45.0ms	447×	body	128	valid

Compiler

Compiled 5482 to 3320 computations (39.4% saved)

Details

analyze765.0ms (4.9%)

sample61.0ms (0.4%)

simplify261.0ms (1.7%)

prune10.0ms (0.1%)

localize17.0ms (0.1%)

rewrite213.0ms (1.4%)

series1.2s (7.6%)

simplify107.0ms (0.7%)

prune242.0ms (1.5%)

localize24.0ms (0.2%)

rewrite170.0ms (1.1%)

series752.0ms (4.8%)

simplify67.0ms (0.4%)

prune227.0ms (1.4%)

localize26.0ms (0.2%)

rewrite137.0ms (0.9%)

series491.0ms (3.1%)

simplify64.0ms (0.4%)

prune227.0ms (1.4%)

localize20.0ms (0.1%)

rewrite118.0ms (0.8%)

series480.0ms (3.1%)

simplify57.0ms (0.4%)

prune145.0ms (0.9%)

regimes3.4s (21.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample6.4s (40.9%)

Profiling