Details

analyze350.0ms (15.5%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify163.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	13	10
3	13	10

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

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 x (.f64 (.f64 y z) z))

Compiler

Compiled 30 to 18 computations (40% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 y z) z)

rewrite18.0ms (0.8%)

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:

6.0ms

(*.f64 (*.f64 y z) z)

Compiler

Compiled 205 to 68 computations (66.8% saved)

series10.0ms (0.5%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

9.0ms

(*.f64 (*.f64 y z) z)

Compiler

Compiled 130 to 91 computations (30% saved)

simplify68.0ms (3%)

Algorithm

1×	egg-herbie

Rules

373×	`associate-l_binary64`
319×	`unswap-sqr_binary64`
312×	`associate-*r/_binary64`
263×	`associate-*l/_binary64`
242×	`associate-/l*_binary64`

Counts

24 → 19

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	245
1	93	200
2	298	200
3	588	198
4	851	198
5	1574	198
6	4023	198
7	4935	198

prune8.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	16	3	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	4	20

Error

0.0b

Counts

20 → 4

Alt Table

Status	Error	Program
▶	4.6b	(+.f64 x (pow.f64 (.f64 y (.f64 z z)) 1))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
	34.5b	(+.f64 x (.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z)))
	19.4b	(+.f64 x (.f64 (sqrt.f64 (.f64 y (.f64 z z))) (sqrt.f64 (.f64 y (*.f64 z z)))))

Compiler

Compiled 197 to 91 computations (53.8% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

9.0b	(.f64 y (.f64 z z))

rewrite14.0ms (0.6%)

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×	`add-sqr-sqrt_binary64`

Counts

1 → 19

Calls

1 calls:

4.0ms

(*.f64 y (*.f64 z z))

Compiler

Compiled 239 to 99 computations (58.6% saved)

series10.0ms (0.5%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

9.0ms

(*.f64 y (*.f64 z z))

Compiler

Compiled 156 to 117 computations (25% saved)

simplify69.0ms (3%)

Algorithm

1×	egg-herbie

Rules

690×	`associate-/l/_binary64`
564×	`associate-/r/_binary64`
350×	`distribute-rgt-in_binary64`
330×	`unswap-sqr_binary64`
315×	`distribute-lft-in_binary64`

Counts

25 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	255
1	75	210
2	190	210
3	428	210
4	666	210
5	1220	210
6	2097	210
7	4847	210
8	5066	210

prune7.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	13	5	18

Error

0.0b

Counts

18 → 5

Alt Table

Status	Error	Program
✓	4.6b	(+.f64 x (pow.f64 (.f64 y (.f64 z z)) 1))
	29.5b	(+.f64 x (pow.f64 (.f64 (sqrt.f64 y) (.f64 z (*.f64 z (sqrt.f64 y)))) 1))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
	34.5b	(+.f64 x (.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z)))
▶	19.4b	(+.f64 x (.f64 (sqrt.f64 (.f64 y (.f64 z z))) (sqrt.f64 (.f64 y (*.f64 z z)))))

Compiler

Compiled 193 to 105 computations (45.6% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

9.0b	(.f64 y (.f64 z z))
9.0b	(.f64 y (.f64 z z))
19.2b	(sqrt.f64 (.f64 y (.f64 z z)))
19.2b	(sqrt.f64 (.f64 y (.f64 z z)))

rewrite55.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`pow1_binary64`
14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
12×	`pow-prod-down_binary64`
8×	`add-sqr-sqrt_binary64`

Counts

4 → 62

Calls

4 calls:

6.0ms	(.f64 y (.f64 z z))
4.0ms	(.f64 y (.f64 z z))
3.0ms	(sqrt.f64 (.f64 y (.f64 z z)))
3.0ms	(sqrt.f64 (.f64 y (.f64 z z)))

Compiler

Compiled 1075 to 210 computations (80.5% saved)

series42.0ms (1.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

11.0ms	(sqrt.f64 (.f64 y (.f64 z z)))
9.0ms	(.f64 y (.f64 z z))
9.0ms	(.f64 y (.f64 z z))
9.0ms	(sqrt.f64 (.f64 y (.f64 z z)))

Compiler

Compiled 973 to 618 computations (36.5% saved)

simplify81.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

766×	`associate-/l/_binary64`
545×	`unswap-sqr_binary64`
379×	`distribute-rgt-in_binary64`
340×	`distribute-lft-in_binary64`
290×	`*-commutative_binary64`

Counts

86 → 46

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	804
1	104	702
2	258	698
3	634	698
4	991	698
5	1764	698
6	2822	698
7	4885	698

prune19.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	45	6	51

Error

0.0b

Counts

51 → 6

Alt Table

Status	Error	Program
✓	19.4b	(+.f64 x (.f64 (sqrt.f64 (.f64 y (.f64 z z))) (sqrt.f64 (.f64 y (*.f64 z z)))))
▶	19.5b	(+.f64 x (.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z z) (cbrt.f64 y)))) (sqrt.f64 (.f64 y (*.f64 z z)))))
✓	4.6b	(+.f64 x (pow.f64 (.f64 y (.f64 z z)) 1))
	29.5b	(+.f64 x (pow.f64 (.f64 (sqrt.f64 y) (.f64 z (*.f64 z (sqrt.f64 y)))) 1))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
	34.5b	(+.f64 x (.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z)))

Compiler

Compiled 504 to 169 computations (66.5% saved)

localize17.0ms (0.8%)

Local error

Found 4 expressions with local error:

6.1b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z z) (cbrt.f64 y)))
9.0b	(.f64 y (.f64 z z))
19.2b	(sqrt.f64 (.f64 y (.f64 z z)))
19.2b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z z) (cbrt.f64 y))))

rewrite109.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`pow1_binary64`
36×	`pow-prod-down_binary64`
30×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
18×	`cbrt-unprod_binary64`

Counts

4 → 75

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z z) (cbrt.f64 y)))
10.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z z) (cbrt.f64 y))))
4.0ms	(.f64 y (.f64 z z))
3.0ms	(sqrt.f64 (.f64 y (.f64 z z)))

Compiler

Compiled 1712 to 311 computations (81.8% saved)

series63.0ms (2.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z z) (cbrt.f64 y)))
16.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z z) (cbrt.f64 y))))
12.0ms	(sqrt.f64 (.f64 y (.f64 z z)))
10.0ms	(.f64 y (.f64 z z))

Compiler

Compiled 1207 to 731 computations (39.4% saved)

simplify137.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

383×	`unswap-sqr_binary64`
347×	`distribute-rgt-in_binary64`
333×	`*-commutative_binary64`
317×	`exp-prod_binary64`
288×	`log-prod_binary64`

Counts

99 → 76

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	1185
1	234	806
2	659	804
3	1064	804
4	2485	780
5	4581	780
6	4980	780
7	4999	780
8	4844	780

prune27.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	76	6	82

Error

0.0b

Counts

82 → 6

Alt Table

Status	Error	Program
	19.4b	(+.f64 x (.f64 (sqrt.f64 (.f64 y (.f64 z z))) (sqrt.f64 (.f64 y (*.f64 z z)))))
	19.5b	(+.f64 x (.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z z) (cbrt.f64 y)))) (sqrt.f64 (.f64 y (*.f64 z z)))))
	4.6b	(+.f64 x (pow.f64 (.f64 y (.f64 z z)) 1))
	29.5b	(+.f64 x (pow.f64 (.f64 (sqrt.f64 y) (.f64 z (*.f64 z (sqrt.f64 y)))) 1))
	0.1b	(+.f64 x (.f64 (.f64 y z) z))
	34.5b	(+.f64 x (.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z)))

Compiler

Compiled 843 to 199 computations (76.4% saved)

regimes146.0ms (6.5%)

Accuracy

Total 0.1b remaining (68.6%)

Threshold costs 0.1b (68.6%)

Compiler

Compiled 2620 to 1395 computations (46.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

sample796.0ms (35.3%)

Algorithm

1×

intervals

Results

257.0ms	8000×	body	128	valid
18.0ms	608×	body	128	invalid

Compiler

Compiled 118 to 70 computations (40.7% saved)

Details

analyze350.0ms (15.5%)

sample17.0ms (0.8%)

simplify163.0ms (7.2%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite18.0ms (0.8%)

series10.0ms (0.5%)

simplify68.0ms (3%)

prune8.0ms (0.3%)

localize8.0ms (0.4%)

rewrite14.0ms (0.6%)

series10.0ms (0.5%)

simplify69.0ms (3%)

prune7.0ms (0.3%)

localize7.0ms (0.3%)

rewrite55.0ms (2.5%)

series42.0ms (1.9%)

simplify81.0ms (3.6%)

prune19.0ms (0.8%)

localize17.0ms (0.8%)

rewrite109.0ms (4.9%)

series63.0ms (2.8%)

simplify137.0ms (6.1%)

prune27.0ms (1.2%)

regimes146.0ms (6.5%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample796.0ms (35.3%)

Profiling