Details

analyze398.0ms (13.4%)

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)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune15.0ms (0.5%)

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))

rewrite44.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

9.0ms

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

Compiler

Compiled 714 to 167 computations (76.6% saved)

series91.0ms (3.1%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

78.0ms

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

Compiler

Compiled 429 to 367 computations (14.5% saved)

simplify63.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5088	1006

prune41.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 826 to 234 computations (71.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 f n))
0.0b	(sqrt.f64 (+.f64 f n))
0.1b	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
0.2b	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))

rewrite178.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

104×	`*-un-lft-identity_binary64`
94×	`add-sqr-sqrt_binary64`
74×	`times-frac_binary64`
61×	`sqrt-prod_binary64`
46×	`add-cube-cbrt_binary64`
41×	`associate-r_binary64`
15×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
14×	`distribute-lft-out_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`sqrt-div_binary64`
8×	`pow1_binary64`
7×	`associate-l_binary64` `associate-/l*_binary64`
6×	`unswap-sqr_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-*l/_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 167

Calls

4 calls:

23.0ms	(*.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))
6.0ms	(sqrt.f64 (+.f64 f n))
3.0ms	(sqrt.f64 (+.f64 f n))

Compiler

Compiled 3876 to 605 computations (84.4% saved)

series245.0ms (8.3%)

Error

Counts

4 → 44

Calls

4 calls:

70.0ms	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
64.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
45.0ms	(sqrt.f64 (+.f64 f n))
38.0ms	(sqrt.f64 (+.f64 f n))

Compiler

Compiled 1649 to 1165 computations (29.4% saved)

simplify134.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4920	3506
1	4920	3506

prune132.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	211	3	214

Error

Counts

214 → 3

Compiler

Compiled 3860 to 686 computations (82.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 -1 (.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f)))))
0.0b	(*.f64 2 (/.f64 n f))
0.2b	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))

rewrite108.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`associate-l_binary64` `associate-r_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
5×	`add-log-exp_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64`
3×	`associate-*r/_binary64`
2×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`associate-*l/_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

9.0ms	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))
7.0ms	(*.f64 2 (/.f64 n f))
5.0ms	(+.f64 -1 (.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f)))))

Compiler

Compiled 1930 to 1054 computations (45.4% saved)

series518.0ms (17.5%)

Error

Counts

3 → 36

Calls

3 calls:

232.0ms	(+.f64 -1 (.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f)))))
203.0ms	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))
59.0ms	(*.f64 2 (/.f64 n f))

Compiler

Compiled 1194 to 972 computations (18.6% saved)

simplify70.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4992	1918
1	4992	1918

prune99.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	123	3	126

Error

Counts

126 → 3

Compiler

Compiled 2109 to 1122 computations (46.8% saved)

regimes76.0ms (2.6%)

Accuracy

Total 0.0b remaining (71.4%)

Threshold costs 0.0b (71.4%)

Compiler

Compiled 653 to 410 computations (37.2% 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%)

sample648.0ms (21.8%)

Algorithm

1×

intervals

Results

209.0ms

8000×

body

128

valid

Compiler

Compiled 228 to 145 computations (36.4% saved)

Details

analyze398.0ms (13.4%)

sample19.0ms (0.6%)

simplify66.0ms (2.2%)

prune15.0ms (0.5%)

localize6.0ms (0.2%)

rewrite44.0ms (1.5%)

series91.0ms (3.1%)

simplify63.0ms (2.1%)

prune41.0ms (1.4%)

localize7.0ms (0.3%)

rewrite178.0ms (6%)

series245.0ms (8.3%)

simplify134.0ms (4.5%)

prune132.0ms (4.4%)

localize7.0ms (0.2%)

rewrite108.0ms (3.6%)

series518.0ms (17.5%)

simplify70.0ms (2.4%)

prune99.0ms (3.3%)

regimes76.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample648.0ms (21.8%)

Profiling