Details

analyze1.1s (5.3%)

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)

sample108.0ms (0.5%)

Algorithm

1×

intervals

Results

75.0ms	243×	body	256	valid
6.0ms	44×	body	128	nan
2.0ms	13×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify424.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (413.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune11.0ms (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

37.7b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite324.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

31.0b

Rules

10×	`cbrt-div_binary64_4543`
8×	`add-sqr-sqrt_binary64_4533` `sqrt-prod_binary64_4527`
6×	`pow1_binary64_4572` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
4×	`add-log-exp_binary64_4550` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `flip3--_binary64_4515` `sqrt-div_binary64_4528` `flip--_binary64_4486` `frac-times_binary64_4521` `associate-*r/_binary64_4453`
2×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `difference-of-squares_binary64_4480` `rem-sqrt-square_binary64_4524` `pow1/3_binary64_4593` `associate-*l/_binary64_4454` `cbrt-prod_binary64_4542` `flip3-+_binary64_4514` `flip-+_binary64_4485`

Counts

4 → 60

Calls

4 calls:

29.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
25.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2998 to 1039 computations (65.3% saved)

series1.7s (8.2%)

Error

31.2b

Counts

4 → 32

Calls

4 calls:

682.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
670.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
111.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
88.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3710 to 2748 computations (25.9% saved)

simplify160.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	5009	1884

prune365.0ms (1.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	75	17	92
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	76	18	94

Error

30.4b

Counts

94 → 18

Compiler

Compiled 4418 to 1917 computations (56.6% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
7.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite241.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

8×	`add-sqr-sqrt_binary64_4533` `sqrt-prod_binary64_4527`
6×	`pow1_binary64_4572` `add-log-exp_binary64_4550` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
5×	`cbrt-div_binary64_4543`
4×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `sqrt-div_binary64_4528`
3×	`flip3--_binary64_4515` `flip--_binary64_4486` `difference-of-squares_binary64_4480`
2×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `flip3-+_binary64_4514` `frac-times_binary64_4521` `flip-+_binary64_4485` `associate-*r/_binary64_4453`
1×	`pow1/3_binary64_4593` `associate-*l/_binary64_4454` `cbrt-prod_binary64_4542` `diff-log_binary64_4603` `sub-neg_binary64_4504` `cancel-sign-sub-inv_binary64_4477`

Counts

4 → 59

Calls

4 calls:

26.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2761 to 921 computations (66.6% saved)

series1.2s (6.1%)

Error

30.0b

Counts

4 → 32

Calls

4 calls:

786.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
144.0ms	(-.f64 (.f64 g g) (.f64 h h))
119.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
89.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3354 to 2375 computations (29.2% saved)

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4915	1475
1	4915	1475

prune358.0ms (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	80	11	91
Fresh	8	9	17
Picked	1	0	1
Done	0	0	0
Total	89	20	109

Error

30.0b

Counts

109 → 20

Compiler

Compiled 4332 to 1801 computations (58.4% saved)

localize39.0ms (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))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite170.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

29.9b

Rules

8×	`add-log-exp_binary64_4550` `add-sqr-sqrt_binary64_4533` `sqrt-prod_binary64_4527`
6×	`pow1_binary64_4572` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
4×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `flip3--_binary64_4515` `sqrt-div_binary64_4528` `flip--_binary64_4486` `difference-of-squares_binary64_4480`
2×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `diff-log_binary64_4603` `sub-neg_binary64_4504` `cancel-sign-sub-inv_binary64_4477`

Counts

4 → 58

Calls

4 calls:

7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(-.f64 (.f64 g g) (.f64 h h))
7.0ms	(-.f64 (.f64 g g) (.f64 h h))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2468 to 775 computations (68.6% saved)

series650.0ms (3.2%)

Error

30.0b

Counts

4 → 35

Calls

4 calls:

218.0ms	(-.f64 (.f64 g g) (.f64 h h))
140.0ms	(-.f64 (.f64 g g) (.f64 h h))
109.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
89.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3090 to 2118 computations (31.5% saved)

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4933	1110
1	4933	1110

prune307.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	94	19	113

Error

29.9b

Counts

113 → 19

Compiler

Compiled 4160 to 1632 computations (60.8% saved)

localize37.0ms (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))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite198.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

29.9b

Rules

8×	`add-log-exp_binary64_4550` `add-sqr-sqrt_binary64_4533` `sqrt-prod_binary64_4527`
6×	`pow1_binary64_4572` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
4×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `flip3--_binary64_4515` `sqrt-div_binary64_4528` `flip--_binary64_4486` `difference-of-squares_binary64_4480`
2×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `diff-log_binary64_4603` `sub-neg_binary64_4504` `cancel-sign-sub-inv_binary64_4477`

Counts

4 → 58

Calls

4 calls:

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

Compiler

Compiled 2468 to 775 computations (68.6% saved)

series635.0ms (3.2%)

Error

29.9b

Counts

4 → 35

Calls

4 calls:

207.0ms	(-.f64 (.f64 g g) (.f64 h h))
137.0ms	(-.f64 (.f64 g g) (.f64 h h))
109.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
94.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3090 to 2118 computations (31.5% saved)

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4933	1110
1	4933	1110

prune225.0ms (1.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	93	19	112

Error

29.9b

Counts

112 → 19

Compiler

Compiled 3392 to 1168 computations (65.6% saved)

regimes3.8s (18.8%)

Accuracy

Total 1.8b remaining (5.7%)

Threshold costs 0b (0%)

Compiler

Compiled 32750 to 19784 computations (39.6% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	70	54
1	70	54

end0.0ms (0%)

sample7.7s (38.5%)

Algorithm

1×

intervals

Results

2.2s	7574×	body	256	valid
171.0ms	1164×	body	128	nan
67.0ms	426×	body	128	valid

Compiler

Compiled 4275 to 2605 computations (39.1% saved)

Details

analyze1.1s (5.3%)

sample108.0ms (0.5%)

simplify424.0ms (2.1%)

prune11.0ms (0.1%)

localize36.0ms (0.2%)

rewrite324.0ms (1.6%)

series1.7s (8.2%)

simplify160.0ms (0.8%)

prune365.0ms (1.8%)

localize43.0ms (0.2%)

rewrite241.0ms (1.2%)

series1.2s (6.1%)

simplify117.0ms (0.6%)

prune358.0ms (1.8%)

localize39.0ms (0.2%)

rewrite170.0ms (0.8%)

series650.0ms (3.2%)

simplify89.0ms (0.4%)

prune307.0ms (1.5%)

localize37.0ms (0.2%)

rewrite198.0ms (1%)

series635.0ms (3.2%)

simplify88.0ms (0.4%)

prune225.0ms (1.1%)

regimes3.8s (18.8%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample7.7s (38.5%)

Profiling