Details

analyze32.0ms (1.4%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify568.0ms (24.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	783	10
1	783	10

prune8.0ms (0.3%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

11.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series19.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

19.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify117.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4915	802
1	4915	802

prune29.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

Compiler

Compiled 686 to 158 computations (77% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite39.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
52×	`exp-prod_binary64`
35×	`add-cube-cbrt_binary64`
27×	`log-pow_binary64`
16×	`distribute-lft-out_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r/_binary64`
5×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `log-prod_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 117

Calls

3 calls:

12.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
11.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
10.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series34.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
9.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify121.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4958	1784
1	4958	1784

prune64.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	125	4	129

Merged error: 0b

Counts

129 → 4

Compiler

Compiled 2007 to 428 computations (78.7% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
0.0b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite54.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
58×	`log-pow_binary64`
54×	`sqrt-pow1_binary64`
52×	`exp-prod_binary64`
50×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64`
18×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`log-prod_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64`
8×	`pow1_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
6×	`sqrt-prod_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 176

Calls

4 calls:

13.0ms	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
13.0ms	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series71.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
24.0ms	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
12.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify132.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4925	2996
1	4925	2996

prune91.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	188	4	192

Merged error: 0b

Counts

192 → 4

Compiler

Compiled 5255 to 889 computations (83.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0b	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite34.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 174

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
11.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series19.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 (-.f64 n f) (+.f64 f n))
9.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))

simplify112.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5821	3700

prune78.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	180	4	184

Merged error: 0b

Counts

184 → 4

Compiler

Compiled 3035 to 763 computations (74.9% saved)

regimes54.0ms (2.3%)

Compiler: Compiled 106 to 74 computations (30.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14

end0.0ms (0%)

sample572.0ms (24.8%)

Algorithm

1×

intervals

Results

190.0ms

8000×

body

valid

Compiler

Compiled 69 to 49 computations (29% saved)

Details

analyze32.0ms (1.4%)

sample15.0ms (0.6%)

simplify568.0ms (24.6%)

prune8.0ms (0.3%)

localize6.0ms (0.3%)

rewrite14.0ms (0.6%)

series19.0ms (0.8%)

simplify117.0ms (5.1%)

prune29.0ms (1.2%)

localize8.0ms (0.4%)

rewrite39.0ms (1.7%)

series34.0ms (1.5%)

simplify121.0ms (5.2%)

prune64.0ms (2.8%)

localize10.0ms (0.4%)

rewrite54.0ms (2.3%)

series71.0ms (3.1%)

simplify132.0ms (5.7%)

prune91.0ms (4%)

localize6.0ms (0.2%)

rewrite34.0ms (1.5%)

series19.0ms (0.8%)

simplify112.0ms (4.9%)

prune78.0ms (3.4%)

regimes54.0ms (2.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample572.0ms (24.8%)

Profiling