Details

analyze401.0ms (15.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	20
1	782	20
0	2	2
1	2	2

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)

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify66.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune15.0ms (0.6%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite43.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

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×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-/r*_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `flip--_binary64`

Counts

1 → 45

Calls

1 calls:

10.0ms

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

Compiler

Compiled 714 to 167 computations (76.6% saved)

series88.0ms (3.4%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

79.0ms

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

Compiler

Compiled 339 to 298 computations (12.1% saved)

simplify65.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5767	922

prune38.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Error

Counts

61 → 3

Compiler

Compiled 766 to 202 computations (73.6% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite214.0ms (8.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `associate-/l/_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow1/3_binary64` `cbrt-div_binary64` `rem-cbrt-cube_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

12.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
11.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 3934 to 1357 computations (65.5% saved)

series259.0ms (10.1%)

Error

Counts

3 → 45

Calls

3 calls:

88.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
76.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
70.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 1204 to 1075 computations (10.7% saved)

simplify74.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4960	4144
1	4960	4144

prune158.0ms (6.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	230	3	233

Error

Counts

233 → 3

Compiler

Compiled 3450 to 1200 computations (65.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite147.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

96×	`*-un-lft-identity_binary64`
88×	`add-sqr-sqrt_binary64`
74×	`times-frac_binary64`
53×	`sqrt-prod_binary64`
42×	`add-cube-cbrt_binary64`
41×	`associate-r_binary64`
15×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64` `associate-/l*_binary64`
6×	`sqrt-div_binary64` `unswap-sqr_binary64`
5×	`associate-/r*_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-*l/_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

2 → 135

Calls

2 calls:

24.0ms	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
9.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))

Compiler

Compiled 3270 to 505 computations (84.6% saved)

series135.0ms (5.2%)

Error

Counts

2 → 22

Calls

2 calls:

65.0ms	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
58.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))

Compiler

Compiled 632 to 515 computations (18.5% saved)

simplify88.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5904	2905

prune102.0ms (3.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	157	3	160

Error

Counts

160 → 3

Compiler

Compiled 2929 to 452 computations (84.6% saved)

regimes52.0ms (2%)

Accuracy

Total 0.0b remaining (48.4%)

Threshold costs 0.0b (48.4%)

Compiler

Compiled 395 to 239 computations (39.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	12
1	40	12

end0.0ms (0%)

sample591.0ms (22.9%)

Algorithm

1×

intervals

Results

213.0ms

8000×

body

128

valid

Compiler

Compiled 142 to 88 computations (38% saved)

Details

analyze401.0ms (15.6%)

sample18.0ms (0.7%)

simplify66.0ms (2.6%)

prune15.0ms (0.6%)

localize6.0ms (0.2%)

rewrite43.0ms (1.7%)

series88.0ms (3.4%)

simplify65.0ms (2.5%)

prune38.0ms (1.5%)

localize7.0ms (0.3%)

rewrite214.0ms (8.3%)

series259.0ms (10.1%)

simplify74.0ms (2.9%)

prune158.0ms (6.1%)

localize6.0ms (0.2%)

rewrite147.0ms (5.7%)

series135.0ms (5.2%)

simplify88.0ms (3.4%)

prune102.0ms (3.9%)

regimes52.0ms (2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample591.0ms (22.9%)

Profiling