Details

analyze184.0ms (9.5%)

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)

sample23.0ms (1.2%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify172.0ms (8.9%)

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

prune3.0ms (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

Error

0.0b

Counts

2 → 1

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))))))

Compiler

Compiled 57 to 42 computations (26.3% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
0.0b	(.f64 PI.f64 (.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)

rewrite92.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-cbrt-cube_binary64`
23×	`add-exp-log_binary64`
20×	`associate-*r/_binary64`
15×	`pow1_binary64`
14×	`sqrt-div_binary64`

Counts

4 → 91

Calls

4 calls:

9.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
7.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
4.0ms	(.f64 (.f64 v v) 6)
2.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))

Compiler

Compiled 2675 to 1681 computations (37.2% saved)

series71.0ms (3.7%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

26.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
14.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
10.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
6.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1396 to 1163 computations (16.7% saved)

simplify88.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

359×	`distribute-rgt-in_binary64`
331×	`cancel-sign-sub-inv_binary64`
327×	`distribute-lft-in_binary64`
241×	`distribute-rgt-neg-in_binary64`
233×	`associate-r_binary64`

Counts

112 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	3113
1	699	2750
2	2740	2698
3	4999	2698

prune53.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	2	92

Error

Counts

92 → 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	(log.f64 (exp.f64 (/.f64 4/3 (.f64 PI.f64 (.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

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

Compiler

Compiled 2182 to 1477 computations (32.3% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite97.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`associate-*r/_binary64`
23×	`add-cbrt-cube_binary64`
23×	`add-exp-log_binary64`
18×	`flip--_binary64`
18×	`sqrt-div_binary64`

Counts

4 → 103

Calls

4 calls:

8.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))))))
8.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v))))))
8.0ms	(log.f64 (exp.f64 (/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))))))))
4.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 3412 to 2211 computations (35.2% saved)

series92.0ms (4.8%)

Error

Counts

4 → 21

Calls

4 calls:

35.0ms	(log.f64 (exp.f64 (/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))))))))
22.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))))))
13.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v))))))
6.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 1667 to 1411 computations (15.4% saved)

simplify148.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

348×	`distribute-rgt-in_binary64`
326×	`distribute-lft-in_binary64`
319×	`cancel-sign-sub-inv_binary64`
209×	`associate-r_binary64`
196×	`distribute-rgt-neg-in_binary64`

Counts

124 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	3964
1	694	3528
2	2610	3444
3	4819	3444
4	4995	3444
5	4944	3444

prune62.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	2	110

Error

Counts

110 → 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	(log.f64 (exp.f64 (/.f64 4/3 (.f64 PI.f64 (.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

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

Compiler

Compiled 2951 to 2037 computations (31% saved)

regimes58.0ms (3%)

Accuracy

Total 0.0b remaining (37.4%)

Threshold costs 0.0b (37.4%)

Compiler

Compiled 996 to 772 computations (22.5% saved)

simplify4.0ms (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)

sample761.0ms (39.4%)

Algorithm

1×

intervals

Results

528.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 82 to 62 computations (24.4% saved)

Details

analyze184.0ms (9.5%)

sample23.0ms (1.2%)

simplify172.0ms (8.9%)

prune3.0ms (0.2%)

localize9.0ms (0.5%)

rewrite92.0ms (4.8%)

series71.0ms (3.7%)

simplify88.0ms (4.5%)

prune53.0ms (2.7%)

localize12.0ms (0.6%)

rewrite97.0ms (5%)

series92.0ms (4.8%)

simplify148.0ms (7.6%)

prune62.0ms (3.2%)

regimes58.0ms (3%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample761.0ms (39.4%)

Profiling