Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample689.0ms (21.5%)

Results

633.0ms

8256×

body

128

valid

Compiler

Compiled 20 to 14 computations (30% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-l_binary64`
1×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	10	7
3	10	7

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (.f64 x 3) x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x 3) x)

series6.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x 3) x)

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

10.0ms

(*.f64 (*.f64 x 3) x)

simplify130.0ms (4%)

Algorithm

1×	egg-herbie

Rules

793×	`fma-def_binary64`
445×	`times-frac_binary64`
424×	`distribute-rgt-in_binary64`
318×	`associate-l_binary64`
257×	`sqr-pow_binary64`

Counts

32 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	296
1	89	260
2	280	251
3	551	249
4	764	249
5	1314	249
6	2592	249
7	4883	249
8	4953	249

prune40.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	4	32

Error

0.0b

Counts

32 → 4

Alt Table

Status	Error	Program
	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) x)) (cbrt.f64 (.f64 (.f64 x 3) x))) (cbrt.f64 (.f64 (.f64 x 3) x)))
▶	0.2b	(*.f64 3 (pow.f64 x 2))
✓	0.1b	(.f64 (.f64 x 3) x)
	33.9b	(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))

Compiler

Compiled 374 to 236 computations (36.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 3 (pow.f64 x 2))

series5.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

5.0ms

(*.f64 3 (pow.f64 x 2))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`unswap-sqr_binary64`
4×	`unpow-prod-down_binary64`

Counts

1 → 29

Calls

1 calls:

8.0ms

(*.f64 3 (pow.f64 x 2))

simplify180.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

656×	`unswap-sqr_binary64`
445×	`exp-prod_binary64`
443×	`log-prod_binary64`
398×	`cube-prod_binary64`
337×	`*-commutative_binary64`

Counts

29 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	321
1	97	249
2	197	239
3	636	233
4	1074	233
5	2909	233
6	3983	233
7	4567	233
8	4972	233
9	4879	233

prune71.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	45	4	49

Error

0.0b

Counts

49 → 4

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 3 (pow.f64 x 2))
▶	0.4b	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (pow.f64 x 2)))
	33.9b	(.f64 (.f64 3 x) (pow.f64 (sqrt.f64 x) 2))
✓	0.1b	(.f64 (.f64 x 3) x)

Compiler

Compiled 510 to 392 computations (23.1% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (pow.f64 x 2)))
✓	0.2b	(*.f64 (sqrt.f64 3) (pow.f64 x 2))

series27.0ms (0.9%)

Counts

2 → 12

Calls

2 calls:

15.0ms	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (pow.f64 x 2)))
12.0ms	(*.f64 (sqrt.f64 3) (pow.f64 x 2))

rewrite32.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
17×	`add-exp-log_binary64`
12×	`associate-l_binary64`
10×	`sqrt-prod_binary64`
10×	`prod-exp_binary64`

Counts

2 → 60

Calls

2 calls:

13.0ms	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (pow.f64 x 2)))
12.0ms	(*.f64 (sqrt.f64 3) (pow.f64 x 2))

simplify175.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

382×	`fma-def_binary64`
351×	`times-frac_binary64`
288×	`associate-+l+_binary64`
284×	`sqr-pow_binary64`
265×	`*-commutative_binary64`

Counts

72 → 84

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	840
1	156	771
2	453	761
3	716	726
4	1372	688
5	3520	688
6	4696	688
7	4881	688

prune114.0ms (3.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	5	88

Error

Counts

88 → 5

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 3 (pow.f64 x 2))
✓	0.4b	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (pow.f64 x 2)))
	33.9b	(.f64 (.f64 3 x) (pow.f64 (sqrt.f64 x) 2))
✓	0.1b	(.f64 (.f64 x 3) x)
▶	0.2b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (sqrt.f64 3) (pow.f64 x 2))))

Compiler

Compiled 1256 to 1059 computations (15.7% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (sqrt.f64 3) (pow.f64 x 2)))
✓	0.2b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (sqrt.f64 3) (pow.f64 x 2))))
	0.2b	(*.f64 (sqrt.f64 3) (pow.f64 x 2))
✓	1.0b	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

series713.0ms (22.2%)

Counts

3 → 24

Calls

3 calls:

695.0ms

(*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (sqrt.f64 3) (pow.f64 x 2)))

17.0ms

(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (sqrt.f64 3) (pow.f64 x 2))))

0.0ms

(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

rewrite61.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-exp-log_binary64`
46×	`cbrt-prod_binary64`
40×	`add-sqr-sqrt_binary64`
37×	`prod-exp_binary64`
24×	`pow1_binary64`

Counts

3 → 117

Calls

3 calls:

23.0ms

(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (sqrt.f64 3) (pow.f64 x 2))))

13.0ms

(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

11.0ms

(*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (sqrt.f64 3) (pow.f64 x 2)))

simplify217.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-def_binary64`
346×	`sqr-pow_binary64`
344×	`*-commutative_binary64`
317×	`associate-+l+_binary64`
246×	`log-prod_binary64`

Counts

141 → 145

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	124	2179
1	239	1641
2	783	1547
3	1559	1488
4	3242	1312
5	4868	1312
6	4981	1312
7	4876	1312

prune422.0ms (13.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	194	4	198

Error

Counts

198 → 4

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 3 (pow.f64 x 2))
✓	0.4b	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (pow.f64 x 2)))
✓	0.1b	(.f64 (.f64 x 3) x)
	0.4b	(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sqrt.f64 3)) 5)))

Compiler

Compiled 4525 to 4178 computations (7.7% saved)

regimes102.0ms (3.2%)

Accuracy

Total 0.1b remaining (89.1%)

Threshold costs 0.1b (89.1%)

Counts

27 → 1

Compiler

Compiled 796 to 662 computations (16.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	7

end139.0ms (4.3%)

Compiler: Compiled 48 to 38 computations (20.8% saved)

Details

analyze1.0ms (0%)

sample689.0ms (21.5%)

simplify14.0ms (0.4%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

series6.0ms (0.2%)

rewrite11.0ms (0.4%)

simplify130.0ms (4%)

prune40.0ms (1.2%)

localize6.0ms (0.2%)

series5.0ms (0.2%)

rewrite11.0ms (0.3%)

simplify180.0ms (5.6%)

prune71.0ms (2.2%)

localize10.0ms (0.3%)

series27.0ms (0.9%)

rewrite32.0ms (1%)

simplify175.0ms (5.5%)

prune114.0ms (3.6%)

localize17.0ms (0.5%)

series713.0ms (22.2%)

rewrite61.0ms (1.9%)

simplify217.0ms (6.8%)

prune422.0ms (13.1%)

regimes102.0ms (3.2%)

simplify5.0ms (0.1%)

end139.0ms (4.3%)

Profiling