Details

analyze920.0ms (29.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample30.0ms (1%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
2.0ms	58×	body	128	invalid

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
4×	`associate-+r+_binary64`
4×	`associate-+l+_binary64`
3×	`*-commutative_binary64`
2×	`associate-l_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	21	13
3	30	13
4	30	13
5	30	13

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 (.f64 (+.f64 (.f64 x y) z) y) t)

Compiler

Compiled 39 to 24 computations (38.5% saved)

localize20.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.0b	(+.f64 (*.f64 x y) z)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 42

Calls

3 calls:

5.0ms	(.f64 (+.f64 (.f64 x y) z) y)
5.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
3.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 722 to 165 computations (77.1% saved)

series92.0ms (3%)

Error

0.0b

Counts

3 → 63

Calls

3 calls:

37.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
26.0ms	(.f64 (+.f64 (.f64 x y) z) y)
15.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 1279 to 829 computations (35.2% saved)

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

664×	`associate-+l+_binary64`
605×	`associate-+r+_binary64`
377×	`associate-l_binary64`
309×	`associate-r_binary64`
263×	`distribute-rgt-in_binary64`

Counts

105 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1244
1	222	1124
2	594	1112
3	2049	1112
4	5425	1112

prune26.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Error

0.0b

Counts

78 → 7

Alt Table

Status	Error	Program
	24.5b	(+.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z)) (-.f64 (.f64 y x) z)) y) t)
	37.1b	(+.f64 (/.f64 (.f64 y (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 z z) (.f64 (.f64 x y) z)))) t)
	27.6b	(+.f64 (/.f64 (.f64 y (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z))) (-.f64 (.f64 x y) z)) t)
✓	0.1b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
▶	0.7b	(+.f64 (.f64 (.f64 (+.f64 z (.f64 y x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) t)
	21.2b	(+.f64 (.f64 (.f64 y y) x) t)
	31.5b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) z)) (.f64 y (sqrt.f64 (+.f64 z (.f64 y x))))) t)

Compiler

Compiled 853 to 308 computations (63.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite59.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`

Counts

4 → 73

Calls

4 calls:

4.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1423 to 349 computations (75.5% saved)

series53.0ms (1.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
11.0ms	(cbrt.f64 y)
11.0ms	(cbrt.f64 y)
11.0ms	(cbrt.f64 y)

Compiler

Compiled 696 to 433 computations (37.8% saved)

simplify89.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

735×	`log-prod_binary64`
577×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
287×	`associate-l_binary64`

Counts

85 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	624
1	94	576
2	292	556
3	763	542
4	1759	418
5	4280	418
6	4543	418
7	4810	418

prune28.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	64	7	71

Error

0.0b

Counts

71 → 7

Alt Table

Status	Error	Program
	24.5b	(+.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z)) (-.f64 (.f64 y x) z)) y) t)
	37.1b	(+.f64 (/.f64 (.f64 y (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 z z) (.f64 (.f64 x y) z)))) t)
	27.6b	(+.f64 (/.f64 (.f64 y (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z))) (-.f64 (.f64 x y) z)) t)
✓	0.1b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
✓	0.7b	(+.f64 (.f64 (.f64 (+.f64 z (.f64 y x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) t)
▶	21.2b	(+.f64 (.f64 (.f64 y y) x) t)
	31.5b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) z)) (.f64 y (sqrt.f64 (+.f64 z (.f64 y x))))) t)

Compiler

Compiled 830 to 358 computations (56.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 y y) x) t)
9.2b	(.f64 (.f64 y y) x)

rewrite32.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+.f64 (.f64 (.f64 y y) x) t)
4.0ms	(.f64 (.f64 y y) x)

Compiler

Compiled 395 to 106 computations (73.2% saved)

series32.0ms (1%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

21.0ms	(+.f64 (.f64 (.f64 y y) x) t)
10.0ms	(.f64 (.f64 y y) x)

Compiler

Compiled 419 to 306 computations (27% saved)

simplify99.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

638×	`unswap-sqr_binary64`
415×	`associate-l_binary64`
325×	`cancel-sign-sub-inv_binary64`
320×	`*-commutative_binary64`
296×	`associate-r_binary64`

Counts

54 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	552
1	154	519
2	433	519
3	1254	519
4	2582	519
5	4628	519
6	4961	519
7	4971	519

prune12.0ms (0.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	30	8	38

Error

0.0b

Counts

38 → 8

Alt Table

Status	Error	Program
▶	24.5b	(+.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z)) (-.f64 (.f64 y x) z)) y) t)
	37.1b	(+.f64 (/.f64 (.f64 y (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 z z) (.f64 (.f64 x y) z)))) t)
✓	0.7b	(+.f64 (.f64 (.f64 (+.f64 z (.f64 y x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) t)
	41.8b	(+.f64 (.f64 (.f64 y (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) t)
	27.6b	(+.f64 (/.f64 (.f64 y (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z))) (-.f64 (.f64 x y) z)) t)
✓	0.1b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
✓	21.2b	(+.f64 (.f64 (.f64 y y) x) t)
	31.5b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) z)) (.f64 y (sqrt.f64 (+.f64 z (.f64 y x))))) t)

Compiler

Compiled 399 to 204 computations (48.9% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z))
1.8b	(.f64 x (.f64 (*.f64 y y) x))
9.2b	(.f64 (.f64 y y) x)
24.7b	(/.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z)) (-.f64 (*.f64 y x) z))

rewrite92.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-cbrt-cube_binary64`
20×	`add-exp-log_binary64`
18×	`pow1_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`

Counts

4 → 84

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z)) (-.f64 (*.f64 y x) z))
6.0ms	(.f64 x (.f64 (*.f64 y y) x))
6.0ms	(-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z))
4.0ms	(.f64 (.f64 y y) x)

Compiler

Compiled 2510 to 485 computations (80.7% saved)

series107.0ms (3.4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

39.0ms	(/.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z)) (-.f64 (*.f64 y x) z))
38.0ms	(-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z))
13.0ms	(.f64 x (.f64 (*.f64 y y) x))
11.0ms	(.f64 (.f64 y y) x)

Compiler

Compiled 1676 to 1060 computations (36.8% saved)

simplify104.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

436×	`associate-/l*_binary64`
264×	`associate-*l/_binary64`
255×	`times-frac_binary64`
215×	`distribute-rgt-in_binary64`
209×	`associate-/r*_binary64`

Counts

132 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	2453
1	348	2228
2	1331	1973
3	4614	1971
4	4967	1971

prune49.0ms (1.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	108	8	116

Error

0.0b

Counts

116 → 8

Alt Table

Status	Error	Program
	24.5b	(+.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z)) (-.f64 (.f64 y x) z)) y) t)
	37.1b	(+.f64 (/.f64 (.f64 y (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 z z) (.f64 (.f64 x y) z)))) t)
	0.7b	(+.f64 (.f64 (.f64 (+.f64 z (.f64 y x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) t)
	41.8b	(+.f64 (.f64 (.f64 y (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) t)
	27.6b	(+.f64 (/.f64 (.f64 y (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 z z))) (-.f64 (.f64 x y) z)) t)
	0.1b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
	21.2b	(+.f64 (.f64 (.f64 y y) x) t)
	31.5b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) z)) (.f64 y (sqrt.f64 (+.f64 z (.f64 y x))))) t)

Compiler

Compiled 1752 to 464 computations (73.5% saved)

regimes250.0ms (8%)

Accuracy

Total 0.0b remaining (71%)

Threshold costs 0.0b (71%)

Compiler

Compiled 4348 to 2486 computations (42.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	13	13

end0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

sample861.0ms (27.7%)

Algorithm

1×

intervals

Results

330.0ms	8000×	body	128	valid
73.0ms	1870×	body	128	invalid

Compiler

Compiled 196 to 116 computations (40.8% saved)

Details

analyze920.0ms (29.6%)

sample30.0ms (1%)

simplify10.0ms (0.3%)

prune2.0ms (0.1%)

localize20.0ms (0.7%)

rewrite39.0ms (1.2%)

series92.0ms (3%)

simplify71.0ms (2.3%)

prune26.0ms (0.8%)

localize11.0ms (0.3%)

rewrite59.0ms (1.9%)

series53.0ms (1.7%)

simplify89.0ms (2.9%)

prune28.0ms (0.9%)

localize5.0ms (0.2%)

rewrite32.0ms (1%)

series32.0ms (1%)

simplify99.0ms (3.2%)

prune12.0ms (0.4%)

localize14.0ms (0.4%)

rewrite92.0ms (2.9%)

series107.0ms (3.4%)

simplify104.0ms (3.4%)

prune49.0ms (1.6%)

regimes250.0ms (8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample861.0ms (27.7%)

Profiling