Details

analyze395.0ms (9.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5830	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify301.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (295.0ms)

Iter	Nodes	Cost
0	5830	21

prune3.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 6 (-.f64 x 1))
0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite118.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_19537`
12×	`*-un-lft-identity_binary64_19515`
10×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
9×	`add-cube-cbrt_binary64_19550`
8×	`add-log-exp_binary64_19554`
7×	`associate-r_binary64_19455`
6×	`cancel-sign-sub-inv_binary64_19481`
5×	`pow1_binary64_19576`
4×	`associate-*r/_binary64_19457` `distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464`
3×	`times-frac_binary64_19521` `associate-/r_binary64_19459` `sum-log_binary64_19606` `associate-l*_binary64_19456`
2×	`prod-exp_binary64_19564` `div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `cbrt-unprod_binary64_19548` `flip3--_binary64_19519` `associate-/l/_binary64_19462` `flip--_binary64_19490` `flip3-+_binary64_19518` `associate-/r/_binary64_19461` `flip-+_binary64_19489` `sub-neg_binary64_19508` `difference-of-squares_binary64_19484`
1×	`frac-2neg_binary64_19526` `clear-num_binary64_19514` `div-inv_binary64_19512` `associate-/l_binary64_19460` `associate-+l+_binary64_19448` `+-commutative_binary64_19445` `pow-prod-down_binary64_19586` `unswap-sqr_binary64_19483` `difference-of-sqr-1_binary64_19485` `distribute-lft-out--_binary64_19467` `-commutative_binary64_19446`

Counts

3 → 70

Calls

3 calls:

11.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
7.0ms	(*.f64 6 (-.f64 x 1))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1600 to 1190 computations (25.6% saved)

series74.0ms (1.8%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

31.0ms	(*.f64 6 (-.f64 x 1))
18.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
15.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 320 to 271 computations (15.3% saved)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5173	1147

prune95.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Error

Counts

83 → 7

Compiler

Compiled 1611 to 1197 computations (25.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

rewrite194.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`add-sqr-sqrt_binary64_19537`
48×	`*-un-lft-identity_binary64_19515`
43×	`times-frac_binary64_19521`
27×	`add-cube-cbrt_binary64_19550` `associate-r_binary64_19455`
14×	`difference-of-squares_binary64_19484`
10×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
8×	`add-log-exp_binary64_19554`
7×	`difference-of-sqr-1_binary64_19485` `distribute-lft-out--_binary64_19467` `associate-/l*_binary64_19460`
5×	`pow1_binary64_19576`
4×	`associate-/r/_binary64_19461`
3×	`flip3-+_binary64_19518` `flip-+_binary64_19489` `associate-/r_binary64_19459` `associate-l*_binary64_19456` `sum-log_binary64_19606`
2×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `div-inv_binary64_19512` `associate-/l/_binary64_19462` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548` `unswap-sqr_binary64_19483`
1×	`frac-2neg_binary64_19526` `div-sub_binary64_19520` `clear-num_binary64_19514` `flip3--_binary64_19519` `flip--_binary64_19490` `pow-prod-down_binary64_19586` `associate-r/_binary64_19457` `-commutative_binary64_19446` `associate-+l+_binary64_19448` `+-commutative_binary64_19445`

Counts

3 → 107

Calls

3 calls:

19.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
11.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2917 to 2119 computations (27.4% saved)

series53.0ms (1.3%)

Error

Counts

3 → 9

Calls

3 calls:

19.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
17.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
12.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 187 to 177 computations (5.3% saved)

simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5707	2799

prune148.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	118	5	123

Error

Counts

123 → 5

Compiler

Compiled 2788 to 2031 computations (27.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 4 (sqrt.f64 x)))
0.1b	(/.f64 (-.f64 6 (.f64 6 x)) (-.f64 -1 (+.f64 x (.f64 4 (sqrt.f64 x)))))

rewrite85.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_19537`
20×	`*-un-lft-identity_binary64_19515`
15×	`times-frac_binary64_19521`
12×	`add-cube-cbrt_binary64_19550`
5×	`associate-/r*_binary64_19459`
4×	`add-exp-log_binary64_19553` `add-log-exp_binary64_19554` `add-cbrt-cube_binary64_19551` `difference-of-squares_binary64_19484` `distribute-lft-out--_binary64_19467`
3×	`associate-/l*_binary64_19460`
2×	`pow1_binary64_19576` `flip3--_binary64_19519` `associate-/l/_binary64_19462` `flip--_binary64_19490` `associate-/r/_binary64_19461`
1×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `frac-2neg_binary64_19526` `div-sub_binary64_19520` `clear-num_binary64_19514` `div-inv_binary64_19512` `sum-log_binary64_19606` `flip3-+_binary64_19518` `flip-+_binary64_19489` `distribute-rgt-out_binary64_19468` `+-commutative_binary64_19445`

Counts

2 → 52

Calls

2 calls:

9.0ms	(/.f64 (-.f64 6 (.f64 6 x)) (-.f64 -1 (+.f64 x (.f64 4 (sqrt.f64 x)))))
3.0ms	(+.f64 x (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1387 to 1032 computations (25.6% saved)

series38.0ms (1%)

Error

Counts

2 → 6

Calls

2 calls:

20.0ms	(/.f64 (-.f64 6 (.f64 6 x)) (-.f64 -1 (+.f64 x (.f64 4 (sqrt.f64 x)))))
15.0ms	(+.f64 x (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 160 to 146 computations (8.8% saved)

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5743	1471

prune71.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	58	5	63

Error

Counts

63 → 5

Compiler

Compiled 1372 to 1033 computations (24.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))
0.1b	(/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
0.1b	(.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))

rewrite222.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-exp-log_binary64_19553` `add-sqr-sqrt_binary64_19537`
25×	`*-un-lft-identity_binary64_19515`
21×	`add-cube-cbrt_binary64_19550`
20×	`add-cbrt-cube_binary64_19551` `times-frac_binary64_19521`
16×	`associate-r_binary64_19455`
13×	`prod-exp_binary64_19564`
12×	`pow1_binary64_19576`
10×	`associate-l_binary64_19456`
9×	`add-log-exp_binary64_19554`
8×	`associate-*r/_binary64_19457`
7×	`cbrt-unprod_binary64_19548`
6×	`div-exp_binary64_19566`
4×	`pow-prod-down_binary64_19586` `flip3--_binary64_19519` `frac-times_binary64_19525` `flip--_binary64_19490` `associate-*l/_binary64_19458` `associate-/r/_binary64_19461`
3×	`1-exp_binary64_19559` `rec-exp_binary64_19565` `cbrt-undiv_binary64_19549` `unswap-sqr_binary64_19483` `flip3-+_binary64_19518` `flip-+_binary64_19489` `associate-/l_binary64_19460` `associate-/r_binary64_19459` `sum-log_binary64_19606`
2×	`un-div-inv_binary64_19513` `difference-of-squares_binary64_19484` `div-inv_binary64_19512` `*-commutative_binary64_19446`
1×	`difference-of-sqr-1_binary64_19485` `distribute-lft-out--_binary64_19467` `inv-pow_binary64_19600` `pow-flip_binary64_19589` `frac-2neg_binary64_19526` `clear-num_binary64_19514` `associate-+l+_binary64_19448` `+-commutative_binary64_19445`

Counts

4 → 120

Calls

4 calls:

16.0ms	(.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
15.0ms	(.f64 6 (.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))
7.0ms	(/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 3206 to 2444 computations (23.8% saved)

series74.0ms (1.9%)

Error

Counts

4 → 12

Calls

4 calls:

19.0ms	(/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
19.0ms	(.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
18.0ms	(.f64 6 (.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))
13.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 316 to 291 computations (7.9% saved)

simplify89.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4967	2524
1	4967	2524

prune149.0ms (3.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	132	5	137

Error

Counts

137 → 5

Compiler

Compiled 2764 to 2079 computations (24.8% saved)

regimes168.0ms (4.2%)

Accuracy

Total 0.0b remaining (99.4%)

Threshold costs 0.0b (99.4%)

Compiler

Compiled 2046 to 1688 computations (17.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	21
1	26	21

end0.0ms (0%)

sample1.4s (35.6%)

Algorithm

1×

intervals

Results

340.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 975 to 806 computations (17.3% saved)

Details

analyze395.0ms (9.9%)

sample19.0ms (0.5%)

simplify301.0ms (7.6%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite118.0ms (3%)

series74.0ms (1.8%)

simplify62.0ms (1.6%)

prune95.0ms (2.4%)

localize9.0ms (0.2%)

rewrite194.0ms (4.9%)

series53.0ms (1.3%)

simplify88.0ms (2.2%)

prune148.0ms (3.7%)

localize9.0ms (0.2%)

rewrite85.0ms (2.1%)

series38.0ms (1%)

simplify79.0ms (2%)

prune71.0ms (1.8%)

localize10.0ms (0.2%)

rewrite222.0ms (5.6%)

series74.0ms (1.9%)

simplify89.0ms (2.2%)

prune149.0ms (3.7%)

regimes168.0ms (4.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (35.6%)

Profiling