Details

analyze1.6s (21.7%)

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
13.3%	86.5%	0.2%	9
19.9%	79.9%	0.2%	10
24%	75.2%	0.8%	11
25.4%	72.7%	1.9%	12
35.8%	59.6%	4.6%	13
42%	52.3%	5.8%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.9s (40.1%)

Results

2.3s	8256×	body	128	valid
424.0ms	2141×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-def_binary64`
661×	`fma-neg_binary64`
203×	`cancel-sign-sub-inv_binary64`
145×	`distribute-rgt-in_binary64`
99×	`div-sub_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	11
3	61	11
4	129	11
5	232	11
6	397	11
7	667	11
8	1062	11
9	1355	11
10	1480	11
11	1529	11
12	1535	11
13	1540	11
14	1540	11
15	1455	11

prune6.0ms (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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	6.5b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
	7.4b	(fma.f64 y (/.f64 (-.f64 z x) t) x)

Compiler

Compiled 71 to 40 computations (43.7% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 z x))
✓	6.8b	(/.f64 (*.f64 y (-.f64 z x)) t)

series51.0ms (0.7%)

Counts

2 → 56

Calls

2 calls:

37.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
13.0ms	(*.f64 y (-.f64 z x))

rewrite81.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
386×	`prod-diff_binary64`
181×	`fma-def_binary64`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`

Counts

2 → 72

Calls

2 calls:

78.0ms	(*.f64 y (-.f64 z x))
78.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2470	17
3	5192	17
0	0	0
1	0	0

simplify109.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1123×	`fma-def_binary64`
439×	`fma-neg_binary64`
163×	`cancel-sign-sub-inv_binary64`
119×	`associate-/l*_binary64`
112×	`div-sub_binary64`

Counts

128 → 84

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	464
1	51	464
2	103	464
3	224	464
4	416	464
5	685	464
6	1016	464
7	1047	464
8	1119	464
9	1127	464
10	1132	464
11	1132	464
12	1059	464

prune142.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Error

0.0b

Counts

86 → 6

Alt Table

Status	Error	Program
	7.4b	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
	6.5b	(+.f64 x (/.f64 (fma.f64 y z (*.f64 y (neg.f64 x))) t))
	35.2b	(+.f64 x (.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (/.f64 1 t))))
	29.0b	(+.f64 x (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)) t))
	37.7b	(+.f64 x (.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (.f64 y (-.f64 z x)) (sqrt.f64 t))))
▶	1.9b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))

Compiler

Compiled 1362 to 498 computations (63.4% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(*.f64 (/.f64 y t) (-.f64 z x))

series41.0ms (0.6%)

Counts

1 → 48

Calls

1 calls:

41.0ms

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

rewrite75.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
377×	`prod-diff_binary64`
186×	`fma-def_binary64`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`

Counts

1 → 48

Calls

1 calls:

71.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2450	10
3	5114	10
0	0	0
1	0	0

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-def_binary64`
483×	`fma-neg_binary64`
159×	`cancel-sign-sub-inv_binary64`
127×	`div-sub_binary64`
118×	`associate-/l*_binary64`

Counts

96 → 54

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	468
1	53	468
2	103	468
3	230	468
4	428	468
5	702	468
6	1031	468
7	1016	468
8	1101	468
9	1095	468
10	1100	468
11	1104	468
12	1031	468

prune75.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	54	6	60

Error

Counts

60 → 6

Alt Table

Status	Error	Program
	7.4b	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
	6.5b	(+.f64 x (/.f64 (fma.f64 y z (*.f64 y (neg.f64 x))) t))
▶	1.7b	(+.f64 x (/.f64 (-.f64 z x) (/.f64 t y)))
	7.2b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
	29.0b	(+.f64 x (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)) t))
✓	1.9b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))

Compiler

Compiled 956 to 356 computations (62.8% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series40.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

40.0ms

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

rewrite148.0ms (2%)

Algorithm

2×	batch-egg-rewrite

Rules

748×	`prod-diff_binary64`
649×	`fma-udef_binary64`
203×	`fma-neg_binary64`
180×	`expm1-udef_binary64`
180×	`log1p-udef_binary64`

Counts

1 → 84

Calls

1 calls:

143.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	185	10
2	2802	10
3	4832	10
4	4617	10
5	5107	10
0	0	0
1	0	0

simplify107.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-def_binary64`
483×	`fma-neg_binary64`
159×	`cancel-sign-sub-inv_binary64`
127×	`div-sub_binary64`
118×	`associate-/l*_binary64`

Counts

132 → 91

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	468
1	53	468
2	103	468
3	230	468
4	428	468
5	702	468
6	1031	468
7	1016	468
8	1101	468
9	1095	468
10	1100	468
11	1104	468
12	1031	468

prune122.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	92	5	97

Error

Counts

97 → 5

Alt Table

Status	Error	Program
	7.4b	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
	6.5b	(+.f64 x (/.f64 (fma.f64 y z (*.f64 y (neg.f64 x))) t))
▶	1.7b	(+.f64 x (pow.f64 (/.f64 (/.f64 t y) (-.f64 z x)) -1))
✓	1.7b	(+.f64 x (/.f64 (-.f64 z x) (/.f64 t y)))
	7.2b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))

Compiler

Compiled 2037 to 653 computations (67.9% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (/.f64 (/.f64 t y) (-.f64 z x)) -1)
✓	5.3b	(/.f64 (/.f64 t y) (-.f64 z x))

series359.0ms (4.9%)

Counts

2 → 96

Calls

2 calls:

287.0ms	(pow.f64 (/.f64 (/.f64 t y) (-.f64 z x)) -1)
71.0ms	(/.f64 (/.f64 t y) (-.f64 z x))

rewrite132.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

525×	`prod-diff_binary64`
205×	`expm1-udef_binary64`
205×	`log1p-udef_binary64`
184×	`fma-def_binary64`
182×	`log-pow_binary64`

Counts

2 → 95

Calls

2 calls:

128.0ms	(pow.f64 (/.f64 (/.f64 t y) (-.f64 z x)) -1)
128.0ms	(/.f64 (/.f64 t y) (-.f64 z x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	224	20
2	3051	20
3	4943	20
4	5199	20
0	0	0
1	0	0

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

856×	`fma-neg_binary64`
773×	`cancel-sign-sub-inv_binary64`
394×	`times-frac_binary64`
320×	`associate-/l*_binary64`
250×	`associate-/r*_binary64`

Counts

191 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	1494
1	190	1404
2	641	1341
3	2894	1341
4	4692	1341
5	5089	1341

prune143.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	118	5	123

Error

Counts

123 → 5

Alt Table

Status	Error	Program
	7.4b	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
	6.5b	(+.f64 x (/.f64 (fma.f64 y z (*.f64 y (neg.f64 x))) t))
✓	1.7b	(+.f64 x (pow.f64 (/.f64 (/.f64 t y) (-.f64 z x)) -1))
✓	1.7b	(+.f64 x (/.f64 (-.f64 z x) (/.f64 t y)))
	7.2b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))

Compiler

Compiled 2040 to 781 computations (61.7% saved)

regimes618.0ms (8.5%)

Accuracy

Total 1.0b remaining (98.5%)

Threshold costs 0b (0%)

Counts

52 → 3

Compiler

Compiled 4106 to 2633 computations (35.9% saved)

bsearch3.0ms (0%)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	78
1	44	78
2	52	78
3	58	78
4	61	78
5	62	78
6	61	78

end149.0ms (2%)

Compiler: Compiled 183 to 93 computations (49.2% saved)

Details

analyze1.6s (21.7%)

sample2.9s (40.1%)

simplify84.0ms (1.2%)

prune6.0ms (0.1%)

localize14.0ms (0.2%)

series51.0ms (0.7%)

rewrite81.0ms (1.1%)

simplify109.0ms (1.5%)

prune142.0ms (2%)

localize11.0ms (0.2%)

series41.0ms (0.6%)

rewrite75.0ms (1%)

simplify99.0ms (1.4%)

prune75.0ms (1%)

localize11.0ms (0.2%)

series40.0ms (0.5%)

rewrite148.0ms (2%)

simplify107.0ms (1.5%)

prune122.0ms (1.7%)

localize13.0ms (0.2%)

series359.0ms (4.9%)

rewrite132.0ms (1.8%)

simplify134.0ms (1.8%)

prune143.0ms (2%)

regimes618.0ms (8.5%)

bsearch3.0ms (0%)

simplify9.0ms (0.1%)

end149.0ms (2%)

Profiling