Details

analyze206.0ms (9.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample25.0ms (1.2%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify195.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

889×	`associate-/r*_binary64`
839×	`neg-mul-1_binary64`
735×	`sub-neg_binary64`
637×	`neg-sub0_binary64`
568×	`associate-/l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	102	28
3	247	28
4	623	28
5	883	28
6	1301	28
7	2726	28
8	3095	28
9	3370	28
10	3431	28
11	3460	28
12	3552	28
13	4935	28
14	4948	28
15	4655	28
16	4895	28
17	4843	28

prune5.0ms (0.2%)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Status

Error

Program

▶

0.0b

(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))

1.0b

(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

Compiler

Compiled 99 to 74 computations (25.3% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
0.0b	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
0.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
0.2b	(.f64 (.f64 v v) 6)

rewrite114.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-cbrt-cube_binary64`
20×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`sqrt-div_binary64`
13×	`flip--_binary64`

Counts

4 → 97

Calls

4 calls:

17.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
9.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
5.0ms	(.f64 (.f64 v v) 6)
3.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))

Compiler

Compiled 2806 to 1782 computations (36.5% saved)

series72.0ms (3.4%)

Error

Counts

4 → 21

Calls

4 calls:

24.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
13.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
11.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
7.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1340 to 1135 computations (15.3% saved)

simplify168.0ms (8%)

Algorithm

1×	egg-herbie

Rules

587×	`distribute-rgt-in_binary64`
276×	`associate-r_binary64`
256×	`cancel-sign-sub-inv_binary64`
247×	`associate-l_binary64`
213×	`associate-/r*_binary64`

Counts

118 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	3390
1	778	3072
2	3001	3033
3	4918	3033
4	4991	3033
5	4940	3033

prune43.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	68	2	70

Error

Counts

70 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
▶	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Status

Error

Program

✓

0.0b

(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))

▶

1.0b

(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

Compiler

Compiled 1625 to 1142 computations (29.7% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
0.0b	(.f64 (.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
0.2b	(.f64 6 (.f64 v v))
1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

rewrite109.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-cbrt-cube_binary64`
37×	`add-exp-log_binary64`
23×	`pow1_binary64`
18×	`associate-*r/_binary64`
18×	`cbrt-unprod_binary64`

Counts

4 → 110

Calls

4 calls:

11.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
11.0ms	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
8.0ms	(.f64 (.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
5.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 3405 to 2236 computations (34.3% saved)

series79.0ms (3.7%)

Error

Counts

4 → 21

Calls

4 calls:

24.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
18.0ms	(.f64 (.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
17.0ms	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
7.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 1372 to 1152 computations (16% saved)

simplify115.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

511×	`distribute-rgt-in_binary64`
429×	`associate-l_binary64`
367×	`associate-r_binary64`
311×	`cancel-sign-sub-inv_binary64`
227×	`distribute-rgt-neg-in_binary64`

Counts

131 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	4163
1	831	3476
2	3428	3420
3	5198	3420

prune54.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	118	2	120

Error

Counts

120 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Status

Error

Program

✓

0.0b

(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))

✓

1.0b

(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

Compiler

Compiled 2373 to 1636 computations (31.1% saved)

regimes71.0ms (3.4%)

Accuracy

Total 0.0b remaining (61.6%)

Threshold costs 0.0b (61.6%)

Compiler

Compiled 520 to 408 computations (21.5% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`distribute-rgt-neg-in_binary64`
3×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	29	28
2	42	28
3	48	28
4	51	28
5	49	28

end1.0ms (0%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

sample825.0ms (39.2%)

Algorithm

1×

intervals

Results

578.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 82 to 62 computations (24.4% saved)

Details

analyze206.0ms (9.8%)

sample25.0ms (1.2%)

simplify195.0ms (9.3%)

prune5.0ms (0.2%)

localize10.0ms (0.5%)

rewrite114.0ms (5.4%)

series72.0ms (3.4%)

simplify168.0ms (8%)

prune43.0ms (2%)

localize11.0ms (0.5%)

rewrite109.0ms (5.2%)

series79.0ms (3.7%)

simplify115.0ms (5.4%)

prune54.0ms (2.6%)

regimes71.0ms (3.4%)

simplify5.0ms (0.2%)

end1.0ms (0%)

sample825.0ms (39.2%)

Profiling