Details

analyze28.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample10.0ms (0.6%)

Algorithm

1×

intervals

Results

3.0ms

256×

body

128

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 3) x)

rewrite19.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

1 → 18

Calls

1 calls:

5.0ms

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

Compiler

Compiled 171 to 109 computations (36.3% saved)

series8.0ms (0.6%)

Error

0.1b

Counts

1 → 3

Calls

1 calls:

7.0ms

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

Compiler

Compiled 42 to 35 computations (16.7% saved)

simplify71.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

445×	`times-frac_binary64`
424×	`distribute-rgt-in_binary64`
368×	`distribute-lft-in_binary64`
318×	`associate-l_binary64`
266×	`log-prod_binary64`

Counts

21 → 17

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	215
1	87	179
2	278	170
3	549	168
4	757	168
5	1277	168
6	2441	168
7	4756	168
8	4972	168

prune16.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	11	6	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	7	18

Error

Counts

18 → 7

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (.f64 3 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
✓	0.2b	(.f64 (.f64 x 3) x)
	32.5b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
	0.4b	(.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 3 (*.f64 x x))))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (.f64 3 (.f64 x x))))
	27.3b	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
▶	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 237 to 150 computations (36.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 3 (.f64 x x))

rewrite23.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-l_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

1 → 19

Calls

1 calls:

5.0ms

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

Compiler

Compiled 173 to 101 computations (41.6% saved)

series7.0ms (0.5%)

Error

Counts

1 → 3

Calls

1 calls:

6.0ms

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

Compiler

Compiled 42 to 35 computations (16.7% saved)

simplify67.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l/_binary64`
568×	`associate-/r/_binary64`
384×	`distribute-rgt-in_binary64`
347×	`distribute-lft-in_binary64`
212×	`*-commutative_binary64`

Counts

22 → 11

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	225
1	74	189
2	172	180
3	415	180
4	626	180
5	1024	180
6	1995	180
7	4967	180
8	4889	180

prune15.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	11	7	18

Error

Counts

18 → 7

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)
	32.5b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
	0.4b	(.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 3 (*.f64 x x))))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (.f64 3 (.f64 x x))))
▶	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
	27.3b	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 189 to 136 computations (28% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
0.3b	(.f64 (.f64 x x) (cbrt.f64 3))

rewrite77.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-exp-log_binary64`
28×	`pow1_binary64`
18×	`cbrt-unprod_binary64`
18×	`prod-exp_binary64`
18×	`pow-prod-down_binary64`

Counts

2 → 51

Calls

2 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
7.0ms	(.f64 (.f64 x x) (cbrt.f64 3))

Compiler

Compiled 829 to 612 computations (26.2% saved)

series24.0ms (1.6%)

Error

Counts

2 → 6

Calls

2 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
9.0ms	(.f64 (.f64 x x) (cbrt.f64 3))

Compiler

Compiled 153 to 139 computations (9.2% saved)

simplify88.0ms (6%)

Algorithm

1×	egg-herbie

Rules

339×	`associate-*r/_binary64`
326×	`associate-/l*_binary64`
324×	`associate-/l/_binary64`
318×	`log-div_binary64`
308×	`associate-/r/_binary64`

Counts

57 → 40

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	1050
1	161	558
2	513	528
3	831	528
4	1238	528
5	2204	528
6	4574	528
7	4962	528

prune23.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	41	6	47

Error

Counts

47 → 6

Alt Table

Status	Error	Program
▶	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))
✓	0.2b	(.f64 (.f64 x 3) x)
	32.5b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
	0.4b	(.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 3 (*.f64 x x))))
✓	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 269 to 201 computations (25.3% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (cbrt.f64 (sqrt.f64 3)))
0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))
0.2b	(.f64 (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
0.2b	(.f64 x (.f64 x (cbrt.f64 (sqrt.f64 3))))

rewrite163.0ms (11.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

52×	`add-exp-log_binary64`
52×	`pow1_binary64`
34×	`cbrt-unprod_binary64`
34×	`prod-exp_binary64`
34×	`pow-prod-down_binary64`

Counts

4 → 105

Calls

4 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))
10.0ms	(*.f64 x (cbrt.f64 (sqrt.f64 3)))
10.0ms	(.f64 (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
6.0ms	(.f64 x (.f64 x (cbrt.f64 (sqrt.f64 3))))

Compiler

Compiled 2181 to 1862 computations (14.6% saved)

series93.0ms (6.3%)

Error

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))
21.0ms	(.f64 (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
20.0ms	(.f64 x (.f64 x (cbrt.f64 (sqrt.f64 3))))
20.0ms	(*.f64 x (cbrt.f64 (sqrt.f64 3)))

Compiler

Compiled 494 to 459 computations (7.1% saved)

simplify162.0ms (11%)

Algorithm

1×	egg-herbie

Rules

431×	`sqr-pow_binary64`
348×	`associate-l_binary64`
331×	`log-prod_binary64`
300×	`exp-prod_binary64`
298×	`associate-r_binary64`

Counts

117 → 93

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	125	2840
1	302	1701
2	1220	1572
3	2120	1444
4	3036	1424
5	4868	1424
6	4999	1424
7	4882	1424

prune56.0ms (3.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	93	6	99

Error

Counts

99 → 6

Alt Table

Status	Error	Program
	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))
	0.2b	(.f64 (.f64 x 3) x)
	32.5b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
	0.4b	(.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 3 (*.f64 x x))))
	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 856 to 734 computations (14.3% saved)

regimes82.0ms (5.6%)

Accuracy

Total 0.2b remaining (94.9%)

Threshold costs 0.2b (94.9%)

Compiler

Compiled 866 to 662 computations (23.6% saved)

simplify3.0ms (0.2%)

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

end1.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

sample400.0ms (27.3%)

Algorithm

1×

intervals

Results

123.0ms

8000×

body

128

valid

Compiler

Compiled 80 to 61 computations (23.8% saved)

Details

analyze28.0ms (1.9%)

sample10.0ms (0.6%)

simplify8.0ms (0.5%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite19.0ms (1.3%)

series8.0ms (0.6%)

simplify71.0ms (4.8%)

prune16.0ms (1.1%)

localize3.0ms (0.2%)

rewrite23.0ms (1.6%)

series7.0ms (0.5%)

simplify67.0ms (4.5%)

prune15.0ms (1%)

localize6.0ms (0.4%)

rewrite77.0ms (5.3%)

series24.0ms (1.6%)

simplify88.0ms (6%)

prune23.0ms (1.6%)

localize10.0ms (0.7%)

rewrite163.0ms (11.1%)

series93.0ms (6.3%)

simplify162.0ms (11%)

prune56.0ms (3.8%)

regimes82.0ms (5.6%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample400.0ms (27.3%)

Profiling