Details

analyze231.0ms (6.7%)

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 (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify238.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	756	10
1	756	10

prune7.0ms (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 29 to 21 computations (27.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.4%)

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))

series104.0ms (3%)

Counts

1 → 3

Calls

1 calls:

104.0ms

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

simplify70.0ms (2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5253	802

prune61.0ms (1.8%)

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: 0.0b

Counts

49 → 5

Compiler

Compiled 1073 to 417 computations (61.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite42.0ms (1.2%)

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))

series321.0ms (9.2%)

Counts

3 → 9

Calls

3 calls:

126.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
109.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
85.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify77.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4906	1784
1	4906	1784

prune104.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	126	5	131

Merged error: 0b

Counts

131 → 5

Compiler

Compiled 2246 to 605 computations (73.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.9b	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
1.0b	(pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)

rewrite60.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`*-un-lft-identity_binary64`
67×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
52×	`exp-prod_binary64`
41×	`add-cube-cbrt_binary64`
27×	`pow-pow_binary64`
16×	`distribute-lft-out_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`cbrt-prod_binary64`
7×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64` `associate-/r/_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64`
4×	`associate-/l*_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `rem-exp-log_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 149

Calls

4 calls:

16.0ms	(pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
10.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
10.0ms	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series509.0ms (14.6%)

Counts

4 → 12

Calls

4 calls:

214.0ms	(pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
115.0ms	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
105.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
74.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify92.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4906	2482
1	4906	2482

prune137.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	161	5	166

Merged error: 0b

Counts

166 → 5

Compiler

Compiled 3009 to 1054 computations (65% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite90.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

209×	`*-un-lft-identity_binary64`
140×	`times-frac_binary64`
137×	`add-sqr-sqrt_binary64`
116×	`cbrt-prod_binary64`
79×	`add-cube-cbrt_binary64`
78×	`unpow-prod-down_binary64` `cube-prod_binary64`
61×	`exp-prod_binary64`
36×	`distribute-lft-out_binary64`
29×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
14×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64`
4×	`associate-/l*_binary64`
3×	`pow-unpow_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

4 → 254

Calls

4 calls:

20.0ms	(exp.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
13.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
12.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series487.0ms (14%)

Counts

4 → 12

Calls

4 calls:

195.0ms	(exp.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
119.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
99.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
74.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5565	4640

prune226.0ms (6.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	266	5	271

Merged error: 0b

Counts

271 → 5

Compiler

Compiled 4913 to 1883 computations (61.7% saved)

regimes26.0ms (0.7%)

Compiler: Compiled 110 to 94 computations (14.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14

end0.0ms (0%)

sample446.0ms (12.8%)

Algorithm

1×

intervals

Results

205.0ms

8000×

body

128

valid

Compiler

Compiled 71 to 59 computations (16.9% saved)

Details

analyze231.0ms (6.7%)

sample16.0ms (0.4%)

simplify238.0ms (6.8%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite15.0ms (0.4%)

series104.0ms (3%)

simplify70.0ms (2%)

prune61.0ms (1.8%)

localize8.0ms (0.2%)

rewrite42.0ms (1.2%)

series321.0ms (9.2%)

simplify77.0ms (2.2%)

prune104.0ms (3%)

localize11.0ms (0.3%)

rewrite60.0ms (1.7%)

series509.0ms (14.6%)

simplify92.0ms (2.6%)

prune137.0ms (3.9%)

localize13.0ms (0.4%)

rewrite90.0ms (2.6%)

series487.0ms (14%)

simplify76.0ms (2.2%)

prune226.0ms (6.5%)

regimes26.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample446.0ms (12.8%)

Profiling