Details

analyze490.0ms (15.3%)

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
9.4%	90.5%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
37.8%	60.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
56.8%	36.2%	7%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.0s (32.2%)

Results

864.0ms	8256×	body	128	valid
66.0ms	739×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify131.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1119×	`div-sub_binary64`
816×	`fma-def_binary64`
804×	`fma-neg_binary64`
517×	`neg-mul-1_binary64`
483×	`neg-sub0_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	27	10
3	57	10
4	111	10
5	180	10
6	312	10
7	977	10
8	3166	10
9	3725	10
10	4150	10
11	4786	10
12	4803	10
13	4958	10
14	5387	10

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

12.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	12.3b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	11.8b	(/.f64 (*.f64 x (-.f64 y z)) y)

series18.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

12.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
6.0ms	(*.f64 x (-.f64 y z))

rewrite61.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

64× egg-rr

Counts

2 → 64

Calls

2 calls:

59.0ms	((/.f64 (.f64 x (-.f64 y z)) y) (.f64 x (-.f64 y z)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	157	17
2	2262	17
3	6391	17
0	0	0
1	0	0

simplify119.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

440×	`times-frac_binary64`
433×	`neg-sub0_binary64`
390×	`sub-neg_binary64`
378×	`neg-mul-1_binary64`
354×	`distribute-lft-neg-out_binary64`

Counts

136 → 74

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	570
1	35	570
2	67	570
3	126	570
4	201	570
5	362	570
6	806	570
7	2955	570
8	3499	570
9	4516	570
10	4707	570
11	4892	570

prune53.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	66	8	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	8	75

Error

0.0b

Counts

75 → 8

Alt Table

Status	Error	Program
	13.5b	(.f64 (-.f64 y z) (.f64 x (/.f64 1 y)))
	6.8b	(-.f64 x (/.f64 (*.f64 z x) y))
	13.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3) y)
	35.1b	(/.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) x) (+.f64 y z)) y)
	2.7b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
	34.2b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))
▶	2.4b	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))
	2.4b	(*.f64 x (/.f64 1 (/.f64 y (-.f64 y z))))

Compiler

Compiled 1039 to 394 computations (62.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	2.3b	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))

series22.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

12.0ms	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))
10.0ms	(/.f64 (-.f64 y z) y)

rewrite82.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

86× egg-rr

Counts

2 → 86

Calls

2 calls:

77.0ms	((*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y)) (/.f64 (-.f64 y z) y))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	185	17
2	2569	17
3	5409	17
0	0	0
1	0	0

simplify170.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-neg_binary64`
592×	`neg-sub0_binary64`
560×	`neg-mul-1_binary64`
423×	`distribute-neg-frac_binary64`
390×	`distribute-rgt-neg-out_binary64`

Counts

146 → 94

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	477
1	35	477
2	65	477
3	118	477
4	196	477
5	341	477
6	771	477
7	2664	477
8	3558	477
9	4065	477
10	4898	477
11	4841	477
12	4872	477

prune83.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	94	8	102

Error

Counts

102 → 8

Alt Table

Status	Error	Program
	6.8b	(-.f64 x (/.f64 (*.f64 z x) y))
	13.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3) y)
	16.1b	(*.f64 (/.f64 x 1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 y z) y)) 2))
	2.7b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
	2.5b	(/.f64 (/.f64 (-.f64 y z) y) (/.f64 1 x))
	34.2b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))
✓	2.4b	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))
▶	2.4b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 1320 to 545 computations (58.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 y z))
✓	2.2b	(/.f64 x (/.f64 y (-.f64 y z)))

series29.0ms (0.9%)

Counts

2 → 60

Calls

2 calls:

17.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
12.0ms	(/.f64 y (-.f64 y z))

rewrite62.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

88× egg-rr

Counts

2 → 88

Calls

2 calls:

60.0ms	((/.f64 x (/.f64 y (-.f64 y z))) (/.f64 y (-.f64 y z)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	163	17
2	2439	17
3	5213	17
0	0	0
1	0	0

simplify87.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-neg_binary64`
492×	`associate-/l*_binary64`
491×	`fma-def_binary64`
425×	`associate-/r*_binary64`
409×	`associate-*l/_binary64`

Counts

148 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	792
1	109	792
2	322	702
3	1209	672
4	4495	672
5	4938	672
6	4993	672
7	4965	672

prune65.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	111	5	116

Error

Counts

116 → 5

Alt Table

Status	Error	Program
✓	2.4b	(/.f64 x (/.f64 y (-.f64 y z)))
	13.1b	(fma.f64 y (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y)))
	6.8b	(-.f64 x (/.f64 (*.f64 z x) y))
	13.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3) y)
▶	2.7b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))

Compiler

Compiled 1467 to 521 computations (64.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (-.f64 y z) (/.f64 1 y))
✓	2.3b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))

series24.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

19.0ms	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
5.0ms	(*.f64 (-.f64 y z) (/.f64 1 y))

rewrite61.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

67× egg-rr

Counts

2 → 67

Calls

2 calls:

59.0ms	((.f64 x (.f64 (-.f64 y z) (/.f64 1 y))) (*.f64 (-.f64 y z) (/.f64 1 y)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	193	17
2	2449	17
3	5016	17
0	0	0
1	0	0

simplify130.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-neg_binary64`
592×	`neg-sub0_binary64`
560×	`neg-mul-1_binary64`
423×	`distribute-neg-frac_binary64`
390×	`distribute-rgt-neg-out_binary64`

Counts

127 → 76

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	477
1	35	477
2	65	477
3	118	477
4	196	477
5	341	477
6	771	477
7	2664	477
8	3558	477
9	4065	477
10	4898	477
11	4841	477
12	4872	477

prune50.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	76	5	81

Error

Counts

81 → 5

Alt Table

Status	Error	Program
✓	2.4b	(/.f64 x (/.f64 y (-.f64 y z)))
	13.1b	(fma.f64 y (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y)))
	6.8b	(-.f64 x (/.f64 (*.f64 z x) y))
	13.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3) y)
✓	2.7b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))

Compiler

Compiled 980 to 376 computations (61.6% saved)

regimes331.0ms (10.3%)

Accuracy

Total 0.2b remaining (93.2%)

Threshold costs 0.2b (93.2%)

Counts

60 → 5

Compiler

Compiled 2943 to 1897 computations (35.5% saved)

bsearch1.0ms (0%)

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	110
1	36	110
2	45	110
3	56	110
4	62	110
5	65	110
6	66	110
7	66	110

end74.0ms (2.3%)

Compiler: Compiled 215 to 86 computations (60% saved)

Details

analyze490.0ms (15.3%)

sample1.0s (32.2%)

simplify131.0ms (4.1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series18.0ms (0.6%)

rewrite61.0ms (1.9%)

simplify119.0ms (3.7%)

prune53.0ms (1.7%)

localize8.0ms (0.3%)

series22.0ms (0.7%)

rewrite82.0ms (2.6%)

simplify170.0ms (5.3%)

prune83.0ms (2.6%)

localize5.0ms (0.1%)

series29.0ms (0.9%)

rewrite62.0ms (1.9%)

simplify87.0ms (2.7%)

prune65.0ms (2%)

localize6.0ms (0.2%)

series24.0ms (0.7%)

rewrite61.0ms (1.9%)

simplify130.0ms (4.1%)

prune50.0ms (1.6%)

regimes331.0ms (10.3%)

bsearch1.0ms (0%)

simplify6.0ms (0.2%)

end74.0ms (2.3%)

Profiling