Details

analyze645.0ms (4.7%)

Algorithm

1×

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
18.7%	81.1%	0.1%	6
26.5%	67.1%	6.4%	7
35.1%	58.5%	6.4%	8
41.3%	49.9%	8.7%	9
46.4%	40.2%	13.4%	10
50.8%	34.2%	15%	11
55.2%	26.7%	18.1%	12
57.4%	22%	20.6%	13
59.8%	17.9%	22.3%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample46.0ms (0.3%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	128	valid
2.0ms	18×	body	128	invalid
2.0ms	18×	body	128	nan

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify597.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (473.0ms)

Iter	Nodes	Cost
0	4219	54
1	4219	54

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

17.8b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
0.6b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
19.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
19.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite201.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

17.8b

Rules

13×	`add-sqr-sqrt_binary64_100`
11×	`*-un-lft-identity_binary64_78`
8×	`add-log-exp_binary64_117`
7×	`add-cube-cbrt_binary64_113` `sqrt-prod_binary64_94`
6×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sqrt-div_binary64_95`
3×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `difference-of-squares_binary64_47`
1×	`sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `+-commutative_binary64_8` `diff-log_binary64_170` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30`

Counts

4 → 59

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2821 to 1660 computations (41.2% saved)

series752.0ms (5.5%)

Error

6.3b

Counts

4 → 60

Calls

4 calls:

221.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
188.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
141.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
94.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 5957 to 4113 computations (31% saved)

simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5494	2240

prune234.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	6	120

Error

6.3b

Counts

120 → 6

Compiler

Compiled 4942 to 2816 computations (43% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.4b	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
19.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
20.5b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
20.5b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite205.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

9×	`add-sqr-sqrt_binary64_100`
8×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`add-log-exp_binary64_117` `cbrt-prod_binary64_109`
5×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `flip3--_binary64_82` `cbrt-div_binary64_110` `flip--_binary64_53`
3×	`sqrt-prod_binary64_94` `cancel-sign-sub-inv_binary64_44`
2×	`pow1/3_binary64_160` `sqrt-div_binary64_95`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

4 → 55

Calls

4 calls:

10.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
8.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3495 to 1926 computations (44.9% saved)

series1.4s (10%)

Error

6.3b

Counts

4 → 60

Calls

4 calls:

417.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
343.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
334.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
90.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 9843 to 7007 computations (28.8% saved)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5500	3355

prune375.0ms (2.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	112	9	121

Error

6.2b

Counts

121 → 9

Compiler

Compiled 6977 to 4016 computations (42.4% saved)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

19.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
19.8b	(sqrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
19.8b	(sqrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
20.5b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite230.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Rules

11×	`add-sqr-sqrt_binary64_100`
9×	`sqrt-prod_binary64_94`
8×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`pow1_binary64_139`
6×	`sqrt-div_binary64_95`
4×	`add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`cbrt-prod_binary64_109` `pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91`
2×	`flip3--_binary64_82` `cbrt-div_binary64_110` `flip--_binary64_53` `flip3-+_binary64_81` `flip-+_binary64_52`
1×	`pow1/3_binary64_160`

Counts

4 → 58

Calls

4 calls:

9.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
8.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
5.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4272 to 2347 computations (45.1% saved)

series903.0ms (6.6%)

Error

6.2b

Counts

4 → 51

Calls

4 calls:

351.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
158.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
152.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
90.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 9308 to 6040 computations (35.1% saved)

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5072	1971

prune399.0ms (2.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	109	9	118

Error

6.2b

Counts

118 → 9

Compiler

Compiled 7620 to 4276 computations (43.9% saved)

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

20.5b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
20.5b	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
20.5b	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
20.5b	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite264.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Rules

12×	`cbrt-prod_binary64_109`
8×	`add-cube-cbrt_binary64_113` `cbrt-div_binary64_110` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`pow1/3_binary64_160` `pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`flip3-+_binary64_81` `flip-+_binary64_52`
1×	`flip3--_binary64_82` `flip--_binary64_53`

Counts

4 → 52

Calls

4 calls:

11.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
8.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
5.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4512 to 2430 computations (46.1% saved)

series1.7s (12.3%)

Error

6.2b

Counts

4 → 69

Calls

4 calls:

358.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
348.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
338.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
328.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))

Compiler

Compiled 15728 to 10395 computations (33.9% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4960	2911
1	4960	2911

prune534.0ms (3.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	121	9	130

Error

6.2b

Counts

130 → 9

Compiler

Compiled 9835 to 5393 computations (45.2% saved)

regimes1.2s (8.7%)

Accuracy

Total 1.1b remaining (16.9%)

Threshold costs 0b (0%)

Compiler

Compiled 12178 to 8122 computations (33.3% saved)

bsearch50.0ms (0.4%)

Steps

Iters	Range		Point
3	4.998262510207159e+126	6.356574971969715e+126	5.164708177196388e+126
6	-4.094168518393342e+62	-9.452236791432636e+61	-4.0595823059314417e+62

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	97	148
1	97	148

end0.0ms (0%)

sample3.5s (25.5%)

Algorithm

1×

intervals

Results

835.0ms	8000×	body	128	valid
61.0ms	635×	body	128	nan
41.0ms	382×	body	128	invalid

Compiler

Compiled 3162 to 2107 computations (33.4% saved)

Details

analyze645.0ms (4.7%)

sample46.0ms (0.3%)

simplify597.0ms (4.4%)

prune6.0ms (0%)

localize26.0ms (0.2%)

rewrite201.0ms (1.5%)

series752.0ms (5.5%)

simplify120.0ms (0.9%)

prune234.0ms (1.7%)

localize41.0ms (0.3%)

rewrite205.0ms (1.5%)

series1.4s (10%)

simplify67.0ms (0.5%)

prune375.0ms (2.7%)

localize56.0ms (0.4%)

rewrite230.0ms (1.7%)

series903.0ms (6.6%)

simplify84.0ms (0.6%)

prune399.0ms (2.9%)

localize53.0ms (0.4%)

rewrite264.0ms (1.9%)

series1.7s (12.3%)

simplify86.0ms (0.6%)

prune534.0ms (3.9%)

regimes1.2s (8.7%)

bsearch50.0ms (0.4%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.5s (25.5%)

Profiling