Details

analyze1.6s (9.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4877	216
1	4877	216
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%	87.4%	0.1%	6
20.3%	73.3%	6.4%	7
27.3%	66.3%	6.4%	8
38.2%	53%	8.7%	9
46%	40.6%	13.4%	10
49.9%	35.1%	15%	11
54.9%	26.9%	18.1%	12
57.4%	22%	20.6%	13
59.7%	18%	22.4%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample72.0ms (0.4%)

Algorithm

1×

intervals

Results

40.0ms	256×	body	128	valid
4.0ms	28×	body	128	nan
2.0ms	13×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify647.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (636.0ms)

Iter	Nodes	Cost
0	2977	54
1	2977	54

prune21.0ms (0.1%)

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

21.8b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
24.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
24.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite252.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

21.7b

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

14.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
11.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
10.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 2821 to 1660 computations (41.2% saved)

series1.2s (7%)

Error

4.5b

Counts

4 → 63

Calls

4 calls:

270.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
258.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
257.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
240.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 6129 to 4208 computations (31.3% saved)

simplify151.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5522	2126

prune406.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	114	8	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	8	123

Error

4.4b

Counts

123 → 8

Compiler

Compiled 5059 to 2894 computations (42.8% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))
0.6b	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
24.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite260.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

23×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64` `associate-/l*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
6×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
5×	`pow1_binary64`
3×	`flip3--_binary64` `flip--_binary64` `sqrt-prod_binary64`
2×	`sqrt-div_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `neg-mul-1_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 81

Calls

4 calls:

17.0ms	(/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))
11.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
8.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))

Compiler

Compiled 2991 to 1622 computations (45.8% saved)

series1.0s (6.2%)

Error

4.2b

Counts

4 → 57

Calls

4 calls:

308.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
256.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
252.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
110.0ms	(/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))

Compiler

Compiled 4120 to 2863 computations (30.5% saved)

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4951	1943
1	4951	1943

prune360.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	132	6	138
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	135	11	146

Error

4.2b

Counts

146 → 11

Compiler

Compiled 4554 to 2483 computations (45.5% saved)

localize30.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 -2 (/.f64 c (+.f64 b b)))
0.2b	(/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))
0.2b	(/.f64 c (+.f64 b b))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite398.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

95×	`*-un-lft-identity_binary64`
85×	`times-frac_binary64`
84×	`add-sqr-sqrt_binary64`
75×	`add-cube-cbrt_binary64`
42×	`associate-r_binary64`
21×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
13×	`associate-/r*_binary64`
8×	`distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
7×	`distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
6×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
5×	`pow1_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
3×	`add-log-exp_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64` `difference-of-squares_binary64` `neg-mul-1_binary64` `associate-/l/_binary64` `unswap-sqr_binary64`
1×	`div-sub_binary64` `flip3--_binary64` `flip--_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 168

Calls

3 calls:

29.0ms	(*.f64 -2 (/.f64 c (+.f64 b b)))
19.0ms	(/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))
15.0ms	(/.f64 c (+.f64 b b))

Compiler

Compiled 4463 to 1911 computations (57.2% saved)

series326.0ms (1.9%)

Error

4.2b

Counts

3 → 18

Calls

3 calls:

101.0ms	(/.f64 c (+.f64 b b))
98.0ms	(/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))
97.0ms	(*.f64 -2 (/.f64 c (+.f64 b b)))

Compiler

Compiled 936 to 675 computations (27.9% saved)

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4968	2029
1	4968	2029

prune359.0ms (2.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	182	4	186
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	184	13	197

Error

4.2b

Counts

197 → 13

Compiler

Compiled 4754 to 2212 computations (53.5% saved)

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 -2 (/.f64 c (+.f64 b b)))
0.2b	(/.f64 c (+.f64 b b))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite229.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

78×	`*-un-lft-identity_binary64`
73×	`times-frac_binary64`
69×	`add-sqr-sqrt_binary64`
64×	`add-cube-cbrt_binary64`
42×	`associate-r_binary64`
21×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
12×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`associate-/l_binary64` `associate-l*_binary64`
2×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

2 → 126

Calls

2 calls:

26.0ms	(*.f64 -2 (/.f64 c (+.f64 b b)))
11.0ms	(/.f64 c (+.f64 b b))

Compiler

Compiled 2884 to 1065 computations (63.1% saved)

series216.0ms (1.3%)

Error

4.2b

Counts

2 → 12

Calls

2 calls:

107.0ms	(/.f64 c (+.f64 b b))
94.0ms	(*.f64 -2 (/.f64 c (+.f64 b b)))

Compiler

Compiled 504 to 366 computations (27.4% saved)

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5075	1554

prune191.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	138	13	151

Error

4.2b

Counts

151 → 13

Compiler

Compiled 2774 to 1039 computations (62.5% saved)

regimes2.4s (14.2%)

Accuracy

Total 1.7b remaining (23%)

Threshold costs 0b (0%)

Compiler

Compiled 11130 to 7834 computations (29.6% saved)

bsearch14.0ms (0.1%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	174	433
1	174	433

end0.0ms (0%)

sample6.3s (37.2%)

Algorithm

1×

intervals

Results

1.3s	8000×	body	128	valid
113.0ms	679×	body	128	nan
62.0ms	395×	body	128	invalid

Compiler

Compiled 3087 to 2145 computations (30.5% saved)

Details

analyze1.6s (9.3%)

sample72.0ms (0.4%)

simplify647.0ms (3.8%)

prune21.0ms (0.1%)

localize43.0ms (0.3%)

rewrite252.0ms (1.5%)

series1.2s (7%)

simplify151.0ms (0.9%)

prune406.0ms (2.4%)

localize43.0ms (0.3%)

rewrite260.0ms (1.5%)

series1.0s (6.2%)

simplify131.0ms (0.8%)

prune360.0ms (2.1%)

localize30.0ms (0.2%)

rewrite398.0ms (2.3%)

series326.0ms (1.9%)

simplify119.0ms (0.7%)

prune359.0ms (2.1%)

localize25.0ms (0.1%)

rewrite229.0ms (1.3%)

series216.0ms (1.3%)

simplify107.0ms (0.6%)

prune191.0ms (1.1%)

regimes2.4s (14.2%)

bsearch14.0ms (0.1%)

simplify18.0ms (0.1%)

end0.0ms (0%)

sample6.3s (37.2%)

Profiling