Details

analyze136.0ms (12.1%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (1.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify92.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	1004	10
1	1004	10

prune4.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite11.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 52

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

series11.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

11.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

simplify94.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4869	989
1	4869	989

prune31.0ms (2.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

Compiler

Compiled 825 to 185 computations (77.6% saved)

localize8.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 z y))
0.0b	(/.f64 y (-.f64 z y))

rewrite15.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
10×	`associate-/r*_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
4×	`associate-/r/_binary64`
2×	`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`

Counts

2 → 74

Calls

2 calls:

6.0ms	(/.f64 y (-.f64 z y))
6.0ms	(/.f64 x (-.f64 z y))

series14.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 x (-.f64 z y))
6.0ms	(/.f64 y (-.f64 z y))

simplify63.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5336	1038

prune39.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Merged error: 0b

Counts

83 → 3

Compiler

Compiled 1372 to 289 computations (78.9% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
0.2b	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))

rewrite35.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`flip3--_binary64` `div-inv_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×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 200

Calls

2 calls:

14.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

series36.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
11.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

simplify104.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4998	4487
1	4998	4487

prune93.0ms (8.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	206	3	209

Merged error: 0b

Counts

209 → 3

Compiler

Compiled 3633 to 853 computations (76.5% saved)

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (sqrt.f64 (-.f64 z y)))
0.1b	(/.f64 (-.f64 x y) (sqrt.f64 (-.f64 z y)))
0.2b	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 z y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 z y))))

rewrite76.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Rules

191×	`add-sqr-sqrt_binary64`
151×	`*-un-lft-identity_binary64`
150×	`times-frac_binary64`
101×	`sqrt-prod_binary64`
75×	`add-cube-cbrt_binary64`
46×	`associate-r_binary64`
35×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
31×	`add-exp-log_binary64`
30×	`associate-l_binary64`
19×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`unswap-sqr_binary64`
11×	`div-exp_binary64`
8×	`associate-/r/_binary64` `prod-exp_binary64` `associate-/l*_binary64` `sqrt-div_binary64`
7×	`pow1_binary64`
6×	`cbrt-undiv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-unprod_binary64` `div-inv_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64` `pow-flip_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `inv-pow_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 240

Calls

3 calls:

45.0ms	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 z y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 z y))))
11.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (-.f64 z y)))
7.0ms	(/.f64 1 (sqrt.f64 (-.f64 z y)))

series66.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(/.f64 1 (sqrt.f64 (-.f64 z y)))
21.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (-.f64 z y)))
21.0ms	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 z y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 z y))))

simplify153.0ms (13.6%)

Algorithm

1×	egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5551	5248

Details

analyze136.0ms (12.1%)

sample14.0ms (1.3%)

simplify92.0ms (8.1%)

prune4.0ms (0.4%)

localize5.0ms (0.4%)

rewrite11.0ms (1%)

series11.0ms (0.9%)

simplify94.0ms (8.3%)

prune31.0ms (2.8%)

localize8.0ms (0.7%)

rewrite15.0ms (1.3%)

series14.0ms (1.3%)

simplify63.0ms (5.6%)

prune39.0ms (3.5%)

localize6.0ms (0.6%)

rewrite35.0ms (3.1%)

series36.0ms (3.2%)

simplify104.0ms (9.3%)

prune93.0ms (8.3%)

localize8.0ms (0.7%)

rewrite76.0ms (6.7%)

series66.0ms (5.8%)

simplify153.0ms (13.6%)

prune12.0ms (1.1%)

Profiling