Details

analyze242.0ms (9.8%)

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)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify230.0ms (9.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	756	10
1	756	10

prune6.0ms (0.2%)

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)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (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:

10.0ms

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

series101.0ms (4.1%)

Counts

1 → 3

Calls

1 calls:

100.0ms

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

simplify60.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4962	802
1	4962	802

prune47.0ms (1.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0b

Counts

49 → 5

Compiler

Compiled 718 to 178 computations (75.2% 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))

rewrite43.0ms (1.8%)

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:

15.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
8.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series190.0ms (7.7%)

Counts

2 → 6

Calls

2 calls:

104.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
86.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

simplify89.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6235	3700

prune133.0ms (5.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	180	5	185

Merged error: 0b

Counts

185 → 5

Compiler

Compiled 3085 to 797 computations (74.2% saved)

localize8.0ms (0.3%)

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))

rewrite42.0ms (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	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
10.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series310.0ms (12.6%)

Counts

3 → 9

Calls

3 calls:

121.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
104.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
86.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify73.0ms (3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4987	1784
1	4987	1784

prune86.0ms (3.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	126	5	131

Merged error: 0b

Counts

131 → 5

Compiler

Compiled 2006 to 429 computations (78.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 n f))
0.1b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`associate-/r/_binary64` `associate-l_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 90

Calls

2 calls:

15.0ms	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
6.0ms	(/.f64 1 (-.f64 n f))

series136.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

92.0ms	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
44.0ms	(/.f64 1 (-.f64 n f))

simplify58.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5106	1180

prune61.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	96	5	101

Merged error: 0b

Counts

101 → 5

Compiler

Compiled 1314 to 460 computations (65% saved)

regimes28.0ms (1.1%)

Compiler: Compiled 122 to 90 computations (26.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms (0%)

sample437.0ms (17.7%)

Algorithm

1×

intervals

Results

208.0ms

8000×

body

128

valid

Compiler

Compiled 77 to 57 computations (26% saved)

Details

analyze242.0ms (9.8%)

sample16.0ms (0.6%)

simplify230.0ms (9.4%)

prune6.0ms (0.2%)

localize7.0ms (0.3%)

rewrite15.0ms (0.6%)

series101.0ms (4.1%)

simplify60.0ms (2.5%)

prune47.0ms (1.9%)

localize6.0ms (0.2%)

rewrite43.0ms (1.8%)

series190.0ms (7.7%)

simplify89.0ms (3.6%)

prune133.0ms (5.4%)

localize8.0ms (0.3%)

rewrite42.0ms (1.7%)

series310.0ms (12.6%)

simplify73.0ms (3%)

prune86.0ms (3.5%)

localize6.0ms (0.3%)

rewrite28.0ms (1.2%)

series136.0ms (5.5%)

simplify58.0ms (2.4%)

prune61.0ms (2.5%)

regimes28.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample437.0ms (17.7%)

Profiling