Details

analyze203.0ms (9.4%)

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)

sample19.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify189.0ms (8.8%)

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

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)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (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)

rewrite163.0ms (7.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`associate-*r/_binary64`
18×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`pow1_binary64`

Counts

4 → 108

Calls

4 calls:

11.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
11.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
9.0ms	(.f64 (.f64 v v) 6)
9.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

Compiler

Compiled 3262 to 2040 computations (37.5% saved)

series96.0ms (4.5%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

29.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
18.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
17.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
8.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1423 to 1209 computations (15% saved)

simplify137.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

428×	`distribute-rgt-in_binary64`
359×	`cancel-sign-sub-inv_binary64`
265×	`associate-r_binary64`
238×	`associate-l_binary64`
229×	`neg-mul-1_binary64`

Counts

129 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	3874
1	772	3457
2	3063	3412
3	4829	3412
4	5077	3412

prune93.0ms (4.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	2	112

Error

Counts

112 → 2

Alt Table

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

Status

Error

Program

▶

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)))))))))

✓

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 2661 to 1808 computations (32.1% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.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)))))))))

rewrite143.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`associate-*r/_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64`
16×	`log-pow_binary64` `associate-/r/_binary64`

Counts

4 → 109

Calls

4 calls:

12.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))))))
10.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
8.0ms	(.f64 6 (.f64 v v))
6.0ms	(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)))))))))

Compiler

Compiled 3553 to 2322 computations (34.6% saved)

series127.0ms (5.9%)

Error

Counts

4 → 21

Calls

4 calls:

48.0ms	(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)))))))))
30.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))))))
17.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
8.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 1611 to 1383 computations (14.2% saved)

simplify139.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

406×	`distribute-rgt-in_binary64`
387×	`distribute-lft-in_binary64`
256×	`cancel-sign-sub-inv_binary64`
241×	`associate-r_binary64`
192×	`neg-mul-1_binary64`

Counts

130 → 116

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	4051
1	701	3660
2	2636	3595
3	4850	3595
4	5010	3595

prune92.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	116	2	118

Error

Counts

118 → 2

Alt Table

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

Status

Error

Program

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)))))))))

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 3135 to 2187 computations (30.2% saved)

regimes61.0ms (2.8%)

Accuracy

Total 0.0b remaining (36.9%)

Threshold costs 0.0b (36.9%)

Compiler

Compiled 660 to 504 computations (23.6% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`sub-neg_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
2×	`distribute-lft-neg-out_binary64`
1×	`1-exp_binary64` `distribute-lft-neg-in_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)

sample656.0ms (30.5%)

Algorithm

1×

intervals

Results

402.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 82 to 62 computations (24.4% saved)

Details

analyze203.0ms (9.4%)

sample19.0ms (0.9%)

simplify189.0ms (8.8%)

prune5.0ms (0.2%)

localize10.0ms (0.5%)

rewrite163.0ms (7.6%)

series96.0ms (4.5%)

simplify137.0ms (6.4%)

prune93.0ms (4.3%)

localize13.0ms (0.6%)

rewrite143.0ms (6.6%)

series127.0ms (5.9%)

simplify139.0ms (6.5%)

prune92.0ms (4.3%)

regimes61.0ms (2.8%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample656.0ms (30.5%)

Profiling