Details

analyze662.0ms (4.2%)

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)

sample59.0ms (0.4%)

Algorithm

1×

intervals

Results

41.0ms	238×	body	256	valid
2.0ms	28×	body	128	nan
1.0ms	18×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify222.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (217.0ms)

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

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)))

rewrite273.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

31.4b

Rules

10×	`cbrt-div_binary64_6589`
8×	`add-sqr-sqrt_binary64_6579` `sqrt-prod_binary64_6573`
6×	`pow1_binary64_6618` `add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
4×	`add-log-exp_binary64_6596` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `flip3--_binary64_6561` `sqrt-div_binary64_6574` `flip--_binary64_6532` `frac-times_binary64_6567` `associate-*r/_binary64_6499`
2×	`pow1/2_binary64_6637` `sqrt-pow1_binary64_6575` `difference-of-squares_binary64_6526` `rem-sqrt-square_binary64_6570` `pow1/3_binary64_6639` `associate-*l/_binary64_6500` `cbrt-prod_binary64_6588` `flip3-+_binary64_6560` `flip-+_binary64_6531`

Counts

4 → 60

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))))))
15.0ms	(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 2902 to 1013 computations (65.1% saved)

series1.8s (11.6%)

Error

31.3b

Counts

4 → 37

Calls

4 calls:

781.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
761.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
93.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
78.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4492 to 3379 computations (24.8% saved)

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5236	2299

prune549.0ms (3.5%)

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 4563 to 2071 computations (54.6% saved)

localize25.0ms (0.2%)

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)))

rewrite344.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

30.8b

Rules

8×	`add-sqr-sqrt_binary64_6579` `sqrt-prod_binary64_6573`
6×	`pow1_binary64_6618` `add-log-exp_binary64_6596` `add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
5×	`flip3--_binary64_6561` `flip--_binary64_6532` `cbrt-div_binary64_6589`
4×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `sqrt-div_binary64_6574`
3×	`difference-of-squares_binary64_6526`
2×	`pow1/2_binary64_6637` `sqrt-pow1_binary64_6575` `rem-sqrt-square_binary64_6570` `frac-times_binary64_6567` `associate-*r/_binary64_6499`
1×	`pow1/3_binary64_6639` `associate-*l/_binary64_6500` `cbrt-prod_binary64_6588` `diff-log_binary64_6649` `sub-neg_binary64_6550` `cancel-sign-sub-inv_binary64_6523`

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 2610 to 888 computations (66% saved)

series1.3s (8%)

Error

29.7b

Counts

4 → 40

Calls

4 calls:

754.0ms	(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))
97.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
94.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3698 to 2751 computations (25.6% saved)

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4959	1751
1	4959	1751

prune409.0ms (2.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	87	12	99
Fresh	11	8	19
Picked	1	0	1
Done	0	0	0
Total	99	20	119

Error

29.6b

Counts

119 → 20

Compiler

Compiled 3900 to 1709 computations (56.2% 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)))

rewrite350.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

Rules

8×	`add-log-exp_binary64_6596` `add-sqr-sqrt_binary64_6579` `sqrt-prod_binary64_6573`
6×	`pow1_binary64_6618` `add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
4×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `flip3--_binary64_6561` `sqrt-div_binary64_6574` `flip--_binary64_6532` `difference-of-squares_binary64_6526`
2×	`pow1/2_binary64_6637` `sqrt-pow1_binary64_6575` `rem-sqrt-square_binary64_6570` `diff-log_binary64_6649` `sub-neg_binary64_6550` `cancel-sign-sub-inv_binary64_6523`

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 2378 to 757 computations (68.2% saved)

series607.0ms (3.9%)

Error

29.6b

Counts

4 → 41

Calls

4 calls:

161.0ms	(-.f64 (.f64 g g) (.f64 h h))
153.0ms	(-.f64 (.f64 g g) (.f64 h h))
96.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
93.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2877 to 2097 computations (27.1% saved)

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4934	1194
1	4934	1194

prune352.0ms (2.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	98	21	119

Error

29.6b

Counts

119 → 21

Compiler

Compiled 3311 to 1439 computations (56.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
4.6b	(-.f64 (.f64 g g) (.f64 h h))
29.7b	(sqrt.f64 (*.f64 (+.f64 h g) (-.f64 g h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite399.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

Rules

11×	`add-sqr-sqrt_binary64_6579`
10×	`sqrt-div_binary64_6574`
8×	`pow1_binary64_6618` `add-log-exp_binary64_6596` `*-un-lft-identity_binary64_6557`
6×	`add-cube-cbrt_binary64_6592` `flip3--_binary64_6561` `flip--_binary64_6532` `sqrt-prod_binary64_6573`
4×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `difference-of-squares_binary64_6526` `frac-times_binary64_6567` `cancel-sign-sub-inv_binary64_6523`
3×	`sqrt-pow1_binary64_6575` `flip3-+_binary64_6560` `flip-+_binary64_6531`
2×	`pow1/2_binary64_6637` `associate-l/_binary64_6500` `associate-r/_binary64_6499` `diff-log_binary64_6649` `sub-neg_binary64_6550`
1×	`rem-sqrt-square_binary64_6570` `pow-prod-down_binary64_6628` `distribute-lft-out--_binary64_6509`

Counts

4 → 65

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
7.0ms	(sqrt.f64 (*.f64 (+.f64 h g) (-.f64 g h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2690 to 911 computations (66.1% saved)

series566.0ms (3.6%)

Error

29.5b

Counts

4 → 37

Calls

4 calls:

150.0ms	(-.f64 (.f64 g g) (.f64 h h))
108.0ms	(sqrt.f64 (*.f64 (+.f64 h g) (-.f64 g h)))
103.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
97.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2846 to 2056 computations (27.8% saved)

simplify37.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4980	1486
1	4980	1486

prune372.0ms (2.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	102	21	123

Error

29.5b

Counts

123 → 21

Compiler

Compiled 2880 to 1061 computations (63.2% saved)

regimes4.7s (29.9%)

Accuracy

Total 1.8b remaining (6%)

Threshold costs 0b (0%)

Compiler

Compiled 62700 to 39888 computations (36.4% saved)

bsearch19.0ms (0.1%)

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	129	330
1	129	330

end9.0ms (0.1%)

Compiler: Compiled 211 to 93 computations (55.9% saved)

sample2.4s (15.5%)

Algorithm

1×

intervals

Results

1.3s	7580×	body	256	valid
100.0ms	1205×	body	128	nan
35.0ms	420×	body	128	valid

Compiler

Compiled 1103 to 659 computations (40.3% saved)

Details

analyze662.0ms (4.2%)

sample59.0ms (0.4%)

simplify222.0ms (1.4%)

prune6.0ms (0%)

localize19.0ms (0.1%)

rewrite273.0ms (1.7%)

series1.8s (11.6%)

simplify48.0ms (0.3%)

prune549.0ms (3.5%)

localize25.0ms (0.2%)

rewrite344.0ms (2.2%)

series1.3s (8%)

simplify62.0ms (0.4%)

prune409.0ms (2.6%)

localize18.0ms (0.1%)

rewrite350.0ms (2.2%)

series607.0ms (3.9%)

simplify69.0ms (0.4%)

prune352.0ms (2.2%)

localize25.0ms (0.2%)

rewrite399.0ms (2.5%)

series566.0ms (3.6%)

simplify37.0ms (0.2%)

prune372.0ms (2.4%)

regimes4.7s (29.9%)

bsearch19.0ms (0.1%)

simplify6.0ms (0%)

end9.0ms (0.1%)

sample2.4s (15.5%)

Profiling