Details

analyze368.0ms (13.2%)

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
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	20×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7
5	17	7

prune2.0ms (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

5.9b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	5.9b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.8b	(/.f64 (*.f64 x y) z)

rewrite30.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
3×	`associate-/r*_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/.f64 (*.f64 x y) z)

Compiler

Compiled 217 to 74 computations (65.9% saved)

series21.0ms (0.8%)

Error

5.9b

Counts

1 → 9

Calls

1 calls:

20.0ms

(/.f64 (*.f64 x y) z)

Compiler

Compiled 152 to 95 computations (37.5% saved)

simplify124.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1112×	`div-sub_binary64`
994×	`associate-/r/_binary64`
854×	`associate-/r*_binary64`
492×	`sub-neg_binary64`
355×	`associate-/l*_binary64`

Counts

30 → 9

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	306
1	115	261
2	397	261
3	1581	261
4	1826	261
5	1925	261
6	2280	261
7	3135	261
8	3238	261
9	4108	261
10	4761	261
11	4680	261

prune12.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	5	4	9
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	5	10

Error

0.1b

Counts

10 → 5

Alt Table

Status	Error	Program
▶	5.7b	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
	8.4b	(*.f64 x (/.f64 y z))
	31.3b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) 3))
✓	5.9b	(/.f64 (*.f64 x y) z)
	37.0b	(/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (sqrt.f64 z))

Compiler

Compiled 149 to 82 computations (45% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
2.0b	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
3.9b	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite102.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`

Counts

4 → 82

Calls

4 calls:

10.0ms	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
9.0ms	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1492 to 323 computations (78.4% saved)

series139.0ms (5%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

76.0ms	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))
27.0ms	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
16.0ms	(cbrt.f64 z)
14.0ms	(cbrt.f64 z)

Compiler

Compiled 801 to 557 computations (30.5% saved)

simplify125.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

597×	`associate-/l/_binary64`
422×	`associate-/r/_binary64`
357×	`log-prod_binary64`
301×	`*-commutative_binary64`
228×	`log-div_binary64`

Counts

106 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1780
1	298	1101
2	1323	1094
3	3196	1086
4	4478	1086
5	4974	1086
6	4915	1086

prune43.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Error

0.0b

Counts

80 → 8

Alt Table

Status	Error	Program
✓	5.7b	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
▶	5.5b	(*.f64 y (/.f64 x z))
	8.4b	(*.f64 x (/.f64 y z))
	31.3b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) 3))
✓	5.9b	(/.f64 (*.f64 x y) z)
	25.1b	(/.f64 (.f64 (.f64 x y) (cbrt.f64 (/.f64 1 (*.f64 z z)))) (cbrt.f64 z))
	37.0b	(/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (sqrt.f64 z))
	5.8b	(/.f64 y (/.f64 z x))

Compiler

Compiled 801 to 394 computations (50.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.4b	(*.f64 y (/.f64 x z))

rewrite35.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 y (/.f64 x z))

Compiler

Compiled 362 to 116 computations (68% saved)

series23.0ms (0.8%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

22.0ms

(*.f64 y (/.f64 x z))

Compiler

Compiled 152 to 95 computations (37.5% saved)

simplify128.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

736×	`fabs-mul_binary64`
732×	`sqr-pow_binary64`
503×	`pow-sqr_binary64`
384×	`associate-/l/_binary64`
307×	`unswap-sqr_binary64`

Counts

41 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	435
1	160	390
2	524	390
3	1308	390
4	2125	390
5	2225	390
6	2410	390
7	2689	390
8	3544	390
9	4357	390
10	4335	390
11	5777	390

prune19.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	5	5
Picked	0	1	1
Done	1	1	2
Total	20	9	29

Error

0.0b

Counts

29 → 9

Alt Table

Status	Error	Program
✓	5.5b	(*.f64 y (/.f64 x z))
	6.4b	(.f64 (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 x (cbrt.f64 z)))
	8.4b	(*.f64 x (/.f64 y z))
	31.3b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) 3))
✓	5.9b	(/.f64 (*.f64 x y) z)
	25.1b	(/.f64 (.f64 (.f64 x y) (cbrt.f64 (/.f64 1 (*.f64 z z)))) (cbrt.f64 z))
	37.0b	(/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (sqrt.f64 z))
	47.0b	(.f64 (.f64 y (sqrt.f64 x)) (/.f64 (sqrt.f64 x) z))
▶	5.8b	(/.f64 y (/.f64 z x))

Compiler

Compiled 332 to 163 computations (50.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.7b	(/.f64 y (/.f64 z x))

rewrite65.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
13×	`associate-/r*_binary64`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/.f64 y (/.f64 z x))

Compiler

Compiled 1007 to 284 computations (71.8% saved)

series21.0ms (0.8%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

20.0ms

(/.f64 y (/.f64 z x))

Compiler

Compiled 152 to 95 computations (37.5% saved)

simplify161.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1063×	`associate-/r/_binary64`
483×	`*-commutative_binary64`
433×	`div-sub_binary64`
325×	`distribute-rgt-in_binary64`
320×	`associate-/l/_binary64`

Counts

79 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1307
1	310	1247
2	911	1244
3	2179	1244
4	2490	1244
5	2644	1244
6	3087	1244
7	3605	1244
8	3989	1244
9	4755	1244

prune31.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	4	2	6
Picked	0	1	1
Done	0	2	2
Total	51	7	58

Error

Counts

58 → 7

Alt Table

Status	Error	Program
	5.5b	(*.f64 y (/.f64 x z))
	6.4b	(.f64 (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 x (cbrt.f64 z)))
	8.4b	(*.f64 x (/.f64 y z))
	5.9b	(/.f64 (*.f64 x y) z)
	20.4b	(.f64 (/.f64 (sqrt.f64 y) z) (.f64 x (sqrt.f64 y)))
	6.5b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (/.f64 z x)))
	5.8b	(/.f64 y (/.f64 z x))

Compiler

Compiled 570 to 166 computations (70.9% saved)

regimes454.0ms (16.3%)

Accuracy

Total 2.1b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 6303 to 3287 computations (47.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	14	31
2	14	31

end7.0ms (0.2%)

Compiler: Compiled 66 to 33 computations (50% saved)

sample819.0ms (29.4%)

Algorithm

1×

intervals

Results

177.0ms	8000×	body	128	valid
17.0ms	762×	body	128	invalid

Compiler

Compiled 108 to 63 computations (41.7% saved)

Details

analyze368.0ms (13.2%)

sample22.0ms (0.8%)

simplify9.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite30.0ms (1.1%)

series21.0ms (0.8%)

simplify124.0ms (4.5%)

prune12.0ms (0.4%)

localize9.0ms (0.3%)

rewrite102.0ms (3.7%)

series139.0ms (5%)

simplify125.0ms (4.5%)

prune43.0ms (1.5%)

localize4.0ms (0.1%)

rewrite35.0ms (1.3%)

series23.0ms (0.8%)

simplify128.0ms (4.6%)

prune19.0ms (0.7%)

localize4.0ms (0.1%)

rewrite65.0ms (2.3%)

series21.0ms (0.8%)

simplify161.0ms (5.8%)

prune31.0ms (1.1%)

regimes454.0ms (16.3%)

simplify3.0ms (0.1%)

end7.0ms (0.2%)

sample819.0ms (29.4%)

Profiling