Details

analyze20.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample292.0ms (10.7%)

Algorithm

1×

intervals

Results

280.0ms

256×

body

128

valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify168.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	466	17
1	466	17

prune7.0ms (0.3%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite48.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
55×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
30×	`sqrt-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `sqrt-div_binary64`

Counts

2 → 93

Calls

2 calls:

11.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
10.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

series82.0ms (3%)

Counts

2 → 6

Calls

2 calls:

42.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
40.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

simplify100.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	6092	1889

prune154.0ms (5.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	2	100

Error

Counts

100 → 2

Compiler

Compiled 1833 to 1472 computations (19.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))
0.0b	(sqrt.f64 (.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x)))
0.0b	(.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x))

rewrite57.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

85×	`add-sqr-sqrt_binary64`
80×	`*-un-lft-identity_binary64`
61×	`times-frac_binary64`
50×	`difference-of-squares_binary64`
36×	`associate-l_binary64`
31×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`associate-r_binary64` `cancel-sign-sub-inv_binary64` `associate-/l*_binary64`
5×	`associate-/r*_binary64` `sqrt-div_binary64`
4×	`associate-*r/_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `sqrt-prod_binary64` `*-commutative_binary64`

Counts

3 → 144

Calls

3 calls:

22.0ms	(.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x))
11.0ms	(sqrt.f64 (.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x)))
8.0ms	(/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))

series55.0ms (2%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(sqrt.f64 (.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x)))
18.0ms	(.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x))
14.0ms	(/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))

simplify135.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4967	3072
1	4967	3072

prune323.0ms (11.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	153	2	155

Error

Counts

155 → 2

Compiler

Compiled 3672 to 2616 computations (28.8% saved)

regimes209.0ms (7.6%)

Accuracy

Total 0.0b remaining (94.6%)

Threshold costs 0.0b (94.6%)

Compiler

Compiled 1352 to 1171 computations (13.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	26
1	34	26

end0.0ms (0%)

sample1.1s (38.8%)

Algorithm

1×

intervals

Results

534.0ms

8000×

body

128

valid

Compiler

Compiled 263 to 228 computations (13.3% saved)

Details

analyze20.0ms (0.7%)

sample292.0ms (10.7%)

simplify168.0ms (6.1%)

prune7.0ms (0.3%)

localize10.0ms (0.3%)

rewrite48.0ms (1.8%)

series82.0ms (3%)

simplify100.0ms (3.7%)

prune154.0ms (5.6%)

localize9.0ms (0.3%)

rewrite57.0ms (2.1%)

series55.0ms (2%)

simplify135.0ms (4.9%)

prune323.0ms (11.8%)

regimes209.0ms (7.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample1.1s (38.8%)

Profiling