Details

analyze1.3s (26.2%)

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
0%	99.8%	0.2%	8
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample35.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	59×	body	128	invalid

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify175.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1483×	`associate-/l/_binary64`
1068×	`associate-/l*_binary64`
1015×	`associate-/r/_binary64`
675×	`*-commutative_binary64`
404×	`sqr-pow_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	10
2	41	7
3	91	7
4	366	7
5	1228	7
6	1212	7
7	1225	7
8	1238	7
9	1245	7
10	1252	7
11	1259	7
12	1266	7
13	1273	7
14	1280	7
15	1287	7
16	1294	7
17	1301	7
18	1308	7
19	1315	7
20	1322	7
21	3032	7
22	2753	7
23	2781	7
24	2833	7
25	2977	7
26	3074	7
27	3494	7
28	3743	7
29	4033	7
30	4473	7
31	5028	7

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

5.7b

Counts

3 → 2

Alt Table

Status	Error	Program
	17.0b	(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
▶	5.7b	(*.f64 x (/.f64 y z))

Compiler

Compiled 62 to 37 computations (40.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(*.f64 x (/.f64 y z))

series12.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

12.0ms

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

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

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 → 34

Calls

1 calls:

6.0ms

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

simplify115.0ms (2.3%)

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

70 → 50

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	642
1	162	597
2	526	597
3	1312	597
4	2135	597
5	2239	597
6	2445	597
7	2751	597
8	3643	597
9	4500	597
10	4489	597
11	5931	597

prune49.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	42	8	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	42	10	52

Error

0.0b

Counts

52 → 10

Alt Table

Status	Error	Program
	17.0b	(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
	5.4b	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))
	6.6b	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))) (cbrt.f64 (/.f64 y z)))
	6.7b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
▶	5.4b	(/.f64 (*.f64 y x) z)
	5.4b	(.f64 (.f64 x y) (/.f64 1 z))
	36.4b	(.f64 (.f64 x (/.f64 1 (sqrt.f64 z))) (/.f64 y (sqrt.f64 z)))
	6.1b	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
	20.7b	(.f64 (.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z))
✓	5.7b	(*.f64 x (/.f64 y z))

Compiler

Compiled 811 to 320 computations (60.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.3b	(/.f64 (*.f64 y x) z)

series12.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

12.0ms

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

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 → 23

Calls

1 calls:

3.0ms

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

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1114×	`div-sub_binary64`
994×	`associate-/r/_binary64`
985×	`fma-neg_binary64`
841×	`fma-def_binary64`
355×	`associate-/l*_binary64`

Counts

23 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	261
1	117	216
2	399	216
3	1584	216
4	1842	216
5	1965	216
6	2373	216
7	3409	216
8	4190	216
9	4557	216
10	4731	216

prune24.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	6	2	8
Picked	0	1	1
Done	0	1	1
Total	32	6	38

Error

Counts

38 → 6

Alt Table

Status	Error	Program
	6.7b	(/.f64 y (/.f64 z x))
▶	5.8b	(/.f64 1 (/.f64 z (*.f64 y x)))
	6.6b	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))) (cbrt.f64 (/.f64 y z)))
✓	5.4b	(/.f64 (*.f64 y x) z)
	6.1b	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
✓	5.7b	(*.f64 x (/.f64 y z))

Compiler

Compiled 405 to 167 computations (58.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (/.f64 z (*.f64 y x)))
✓	5.1b	(/.f64 z (*.f64 y x))

series29.0ms (0.6%)

Counts

2 → 36

Calls

2 calls:

17.0ms	(/.f64 z (*.f64 y x))
12.0ms	(/.f64 1 (/.f64 z (*.f64 y x)))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64`
28×	`add-exp-log_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`

Counts

2 → 81

Calls

2 calls:

5.0ms	(/.f64 1 (/.f64 z (*.f64 y x)))
3.0ms	(/.f64 z (*.f64 y x))

simplify139.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1010×	`div-sub_binary64`
725×	`times-frac_binary64`
426×	`sub-neg_binary64`
400×	`sqr-pow_binary64`
344×	`associate-/l*_binary64`

Counts

117 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1347
1	174	1138
2	605	1111
3	2484	1111
4	2671	1111
5	2923	1111
6	3709	1111
7	4007	1111
8	4440	1111
9	4784	1111

prune59.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	100	6	106

Error

Counts

106 → 6

Alt Table

Status	Error	Program
	6.7b	(/.f64 y (/.f64 z x))
✓	5.8b	(/.f64 1 (/.f64 z (*.f64 y x)))
	6.6b	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))) (cbrt.f64 (/.f64 y z)))
✓	5.4b	(/.f64 (*.f64 y x) z)
▶	6.1b	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
✓	5.7b	(*.f64 x (/.f64 y z))

Compiler

Compiled 1389 to 573 computations (58.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
✓	0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
✓	0.6b	(cbrt.f64 z)
✓	5.1b	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))

series205.0ms (4.2%)

Counts

4 → 72

Calls

4 calls:

84.0ms	(/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
45.0ms	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
38.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
37.0ms	(cbrt.f64 z)

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`add-exp-log_binary64`
40×	`prod-exp_binary64`
36×	`add-sqr-sqrt_binary64`
31×	`add-cbrt-cube_binary64`
28×	`cbrt-prod_binary64`

Counts

4 → 156

Calls

4 calls:

14.0ms	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
5.0ms	(/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
4.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

simplify138.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

540×	`associate-/r/_binary64`
464×	`associate-/l/_binary64`
419×	`unswap-sqr_binary64`
320×	`fma-neg_binary64`
281×	`associate-l_binary64`

Counts

228 → 220

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	3159
1	422	2008
2	1800	1909
3	3462	1837
4	4761	1837
5	4990	1837
6	4970	1837

prune113.0ms (2.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	256	6	262

Error

Counts

262 → 6

Alt Table

Status	Error	Program
	6.7b	(/.f64 y (/.f64 z x))
✓	5.8b	(/.f64 1 (/.f64 z (*.f64 y x)))
	6.6b	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))) (cbrt.f64 (/.f64 y z)))
✓	5.4b	(/.f64 (*.f64 y x) z)
✓	6.1b	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
✓	5.7b	(*.f64 x (/.f64 y z))

Compiler

Compiled 4837 to 1795 computations (62.9% saved)

regimes420.0ms (8.6%)

Accuracy

Total 2.0b remaining (98.8%)

Threshold costs 0b (0%)

Counts

37 → 1

Compiler

Compiled 4014 to 2440 computations (39.2% saved)

simplify5.0ms (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

end14.0ms (0.3%)

Compiler: Compiled 69 to 36 computations (47.8% saved)

sample1.9s (38.5%)

Algorithm

1×

intervals

Results

633.0ms	8000×	body	128	valid
118.0ms	1514×	body	128	invalid

Compiler

Compiled 117 to 71 computations (39.3% saved)

Details

analyze1.3s (26.2%)

sample35.0ms (0.7%)

simplify175.0ms (3.6%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series12.0ms (0.2%)

rewrite8.0ms (0.2%)

simplify115.0ms (2.3%)

prune49.0ms (1%)

localize3.0ms (0.1%)

series12.0ms (0.2%)

rewrite4.0ms (0.1%)

simplify99.0ms (2%)

prune24.0ms (0.5%)

localize5.0ms (0.1%)

series29.0ms (0.6%)

rewrite12.0ms (0.2%)

simplify139.0ms (2.8%)

prune59.0ms (1.2%)

localize9.0ms (0.2%)

series205.0ms (4.2%)

rewrite37.0ms (0.7%)

simplify138.0ms (2.8%)

prune113.0ms (2.3%)

regimes420.0ms (8.6%)

simplify5.0ms (0.1%)

end14.0ms (0.3%)

sample1.9s (38.5%)

Profiling