Details

analyze87.0ms (5.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample20.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify11.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	16	7
3	16	7
4	16	7

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 27) y)

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

3.0ms

(*.f64 (*.f64 x 27) y)

Compiler

Compiled 172 to 113 computations (34.3% saved)

series11.0ms (0.7%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

10.0ms

(*.f64 (*.f64 x 27) y)

Compiler

Compiled 91 to 65 computations (28.6% saved)

simplify61.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-*l/_binary64`
617×	`associate-*r/_binary64`
454×	`associate-l_binary64`
380×	`*-commutative_binary64`
308×	`associate-r_binary64`

Counts

24 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	236
1	98	200
2	340	200
3	907	200
4	1089	200
5	1281	200
6	1533	200
7	4479	200
8	4853	200

prune13.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	9	5	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	6	15

Error

0.0b

Counts

15 → 6

Alt Table

Status	Error	Program
	16.7b	(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
	29.6b	(.f64 (sqrt.f64 (.f64 27 (.f64 y x))) (sqrt.f64 (.f64 27 (*.f64 y x))))
	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 27 (.f64 y x))) (cbrt.f64 (.f64 27 (.f64 y x)))) (cbrt.f64 (.f64 27 (.f64 y x))))
	31.8b	(exp.f64 (log.f64 (.f64 27 (.f64 y x))))
▶	0.3b	(pow.f64 (.f64 27 (.f64 y x)) 1)
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 229 to 147 computations (35.8% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 27 (.f64 y x))

rewrite20.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-l_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 18

Calls

1 calls:

4.0ms

(*.f64 27 (*.f64 y x))

Compiler

Compiled 195 to 129 computations (33.8% saved)

series10.0ms (0.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

10.0ms

(*.f64 27 (*.f64 y x))

Compiler

Compiled 117 to 91 computations (22.2% saved)

simplify71.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

495×	`associate-/l*_binary64`
484×	`cube-div_binary64`
484×	`log-div_binary64`
401×	`*-commutative_binary64`
334×	`associate-l_binary64`

Counts

24 → 7

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	234
1	82	198
2	253	198
3	645	198
4	822	198
5	951	198
6	1169	198
7	1548	198
8	2411	198
9	3885	198
10	4960	198

prune10.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	6	7	13

Error

0.0b

Counts

13 → 7

Alt Table

Status	Error	Program
	16.7b	(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
	29.6b	(.f64 (sqrt.f64 (.f64 27 (.f64 y x))) (sqrt.f64 (.f64 27 (*.f64 y x))))
	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 27 (.f64 y x))) (cbrt.f64 (.f64 27 (.f64 y x)))) (cbrt.f64 (.f64 27 (.f64 y x))))
	31.8b	(exp.f64 (log.f64 (.f64 27 (.f64 y x))))
✓	0.3b	(pow.f64 (.f64 27 (.f64 y x)) 1)
▶	0.5b	(pow.f64 (.f64 (sqrt.f64 27) (.f64 (*.f64 y x) (sqrt.f64 27))) 1)
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 202 to 145 computations (28.2% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.3b	(.f64 (.f64 y x) (sqrt.f64 27))
0.3b	(.f64 (sqrt.f64 27) (.f64 (*.f64 y x) (sqrt.f64 27)))

rewrite43.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 45

Calls

2 calls:

8.0ms	(.f64 (sqrt.f64 27) (.f64 (*.f64 y x) (sqrt.f64 27)))
5.0ms	(.f64 (.f64 y x) (sqrt.f64 27))

Compiler

Compiled 686 to 514 computations (25.1% saved)

series40.0ms (2.5%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

20.0ms	(.f64 (sqrt.f64 27) (.f64 (*.f64 y x) (sqrt.f64 27)))
17.0ms	(.f64 (.f64 y x) (sqrt.f64 27))

Compiler

Compiled 323 to 271 computations (16.1% saved)

simplify85.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

361×	`associate-*r/_binary64`
357×	`*-commutative_binary64`
344×	`unswap-sqr_binary64`
336×	`log-div_binary64`
311×	`associate-*l/_binary64`

Counts

57 → 42

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	750
1	167	556
2	595	556
3	919	548
4	1308	548
5	2054	548
6	4901	548
7	5336	548

prune23.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	4	4
Picked	0	1	1
Done	1	1	2
Total	41	8	49

Error

0.0b

Counts

49 → 8

Alt Table

Status	Error	Program
▶	0.4b	(pow.f64 (.f64 (.f64 y (*.f64 (sqrt.f64 27) x)) (sqrt.f64 27)) 1)
	31.8b	(exp.f64 (log.f64 (.f64 27 (.f64 y x))))
	16.7b	(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
	29.6b	(.f64 (sqrt.f64 (.f64 27 (.f64 y x))) (sqrt.f64 (.f64 27 (*.f64 y x))))
	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 27 (.f64 y x))) (cbrt.f64 (.f64 27 (.f64 y x)))) (cbrt.f64 (.f64 27 (.f64 y x))))
	0.5b	(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (*.f64 y x) (pow.f64 (sqrt.f64 27) 3/2))) 1)
✓	0.5b	(pow.f64 (.f64 (sqrt.f64 27) (.f64 (*.f64 y x) (sqrt.f64 27))) 1)
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 497 to 389 computations (21.7% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (sqrt.f64 27) x)
0.2b	(.f64 y (.f64 (sqrt.f64 27) x))
0.3b	(.f64 (.f64 y (*.f64 (sqrt.f64 27) x)) (sqrt.f64 27))

rewrite60.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-cbrt-cube_binary64`
19×	`add-exp-log_binary64`
19×	`pow1_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`associate-r_binary64`

Counts

3 → 64

Calls

3 calls:

6.0ms	(.f64 (.f64 y (*.f64 (sqrt.f64 27) x)) (sqrt.f64 27))
5.0ms	(.f64 y (.f64 (sqrt.f64 27) x))
4.0ms	(*.f64 (sqrt.f64 27) x)

Compiler

Compiled 948 to 765 computations (19.3% saved)

series39.0ms (2.5%)

Error

0.0b

Counts

3 → 15

Calls

3 calls:

18.0ms	(.f64 (.f64 y (*.f64 (sqrt.f64 27) x)) (sqrt.f64 27))
15.0ms	(.f64 y (.f64 (sqrt.f64 27) x))
6.0ms	(*.f64 (sqrt.f64 27) x)

Compiler

Compiled 401 to 337 computations (16% saved)

simplify73.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

543×	`associate-*l/_binary64`
403×	`unswap-sqr_binary64`
376×	`*-commutative_binary64`
366×	`associate-/l/_binary64`
354×	`associate-/l*_binary64`

Counts

79 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	963
1	194	750
2	655	750
3	1025	742
4	1376	742
5	2132	742
6	5145	742

prune20.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	41	8	49

Error

0.0b

Counts

49 → 8

Alt Table

Status	Error	Program
	0.4b	(pow.f64 (.f64 (.f64 y (*.f64 (sqrt.f64 27) x)) (sqrt.f64 27)) 1)
	31.8b	(exp.f64 (log.f64 (.f64 27 (.f64 y x))))
	16.7b	(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
	29.6b	(.f64 (sqrt.f64 (.f64 27 (.f64 y x))) (sqrt.f64 (.f64 27 (*.f64 y x))))
	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 27 (.f64 y x))) (cbrt.f64 (.f64 27 (.f64 y x)))) (cbrt.f64 (.f64 27 (.f64 y x))))
	0.5b	(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (*.f64 y x) (pow.f64 (sqrt.f64 27) 3/2))) 1)
	0.5b	(pow.f64 (.f64 (sqrt.f64 27) (.f64 (*.f64 y x) (sqrt.f64 27))) 1)
	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 372 to 295 computations (20.7% saved)

regimes173.0ms (10.8%)

Accuracy

Total 0.3b remaining (94.5%)

Threshold costs 0.3b (94.5%)

Compiler

Compiled 2315 to 1805 computations (22% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	7
2	11	7

end5.0ms (0.3%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

sample688.0ms (42.9%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	128	valid
2.0ms	86×	body	128	invalid

Compiler

Compiled 123 to 92 computations (25.2% saved)

Details

analyze87.0ms (5.4%)

sample20.0ms (1.2%)

simplify11.0ms (0.7%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

rewrite14.0ms (0.9%)

series11.0ms (0.7%)

simplify61.0ms (3.8%)

prune13.0ms (0.8%)

localize5.0ms (0.3%)

rewrite20.0ms (1.2%)

series10.0ms (0.6%)

simplify71.0ms (4.4%)

prune10.0ms (0.6%)

localize8.0ms (0.5%)

rewrite43.0ms (2.7%)

series40.0ms (2.5%)

simplify85.0ms (5.3%)

prune23.0ms (1.4%)

localize6.0ms (0.4%)

rewrite60.0ms (3.8%)

series39.0ms (2.5%)

simplify73.0ms (4.6%)

prune20.0ms (1.3%)

regimes173.0ms (10.8%)

simplify3.0ms (0.2%)

end5.0ms (0.3%)

sample688.0ms (42.9%)

Profiling