Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.7s (45.5%)

Results

1.4s

8256×

body

128

valid

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify219.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1115×	`distribute-rgt-neg-in_binary64`
788×	`distribute-rgt-out--_binary64`
692×	`unsub-neg_binary64`
492×	`fma-neg_binary64`
461×	`distribute-neg-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	20	10
3	30	10
4	46	10
5	69	8
6	116	8
7	261	8
8	474	8
9	759	8
10	1568	8
11	2348	8
12	2402	8
13	2638	8
14	2786	8
15	2784	8
16	2861	8
17	3120	8
18	3683	8
19	4675	8
20	4920	8
21	4962	8
22	4973	8
23	4970	8
24	6218	8

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 -10 (fma.f64 x x -1))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))

series6.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

6.0ms

(/.f64 -10 (fma.f64 x x -1))

rewrite95.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
262×	`unpow-prod-down_binary64`
232×	`log-prod_binary64`
148×	`pow2_binary64`

Counts

1 → 38

Calls

1 calls:

94.0ms

(/.f64 -10 (fma.f64 x x -1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	122	8
2	1342	8
3	4915	8
4	5020	8
0	0	0
1	0	0

simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-def_binary64`
414×	`unswap-sqr_binary64`
344×	`distribute-neg-frac_binary64`
327×	`div-sub_binary64`
243×	`associate-l_binary64`

Counts

50 → 53

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	227
1	117	209
2	330	206
3	959	203
4	2992	200
5	4476	200
6	4947	200

prune73.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	44	9	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	10	54

Error

0.0b

Counts

54 → 10

Alt Table

Status	Error	Program
	21.1b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
▶	0.3b	(pow.f64 (/.f64 (fma.f64 x x -1) -10) -1)
	1.2b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) -10)) 2) -1) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
	1.3b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))
	22.5b	(-.f64 (exp.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1)))) 1)
	22.4b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	21.6b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)

Compiler

Compiled 903 to 711 computations (21.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (fma.f64 x x -1) -10)
✓	0.2b	(pow.f64 (/.f64 (fma.f64 x x -1) -10) -1)

series10.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

5.0ms	(pow.f64 (/.f64 (fma.f64 x x -1) -10) -1)
4.0ms	(/.f64 (fma.f64 x x -1) -10)

rewrite73.0ms (2%)

Algorithm

2×	batch-egg-rewrite

Rules

619×	`log1p-expm1-u_binary64`
619×	`expm1-log1p-u_binary64`
285×	`log-prod_binary64`
121×	`expm1-udef_binary64`
121×	`log1p-udef_binary64`

Counts

2 → 60

Calls

2 calls:

71.0ms	(/.f64 (fma.f64 x x -1) -10)
71.0ms	(pow.f64 (/.f64 (fma.f64 x x -1) -10) -1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	150	16
2	1628	16
3	4842	16
0	0	0
1	0	0

simplify93.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
414×	`unswap-sqr_binary64`
344×	`distribute-neg-frac_binary64`
327×	`div-sub_binary64`
281×	`associate-l_binary64`

Counts

84 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	332
1	128	314
2	354	293
3	1028	290
4	3175	290
5	4383	290
6	4929	290
7	4932	290

prune105.0ms (2.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	80	10	90

Error

Counts

90 → 10

Alt Table

Status	Error	Program
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
▶	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	21.6b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	21.2b	(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) -10) -2))
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
	22.4b	(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 x x -1) -10))) -1)
	1.3b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))
	42.9b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
	1.2b	(/.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
	0.7b	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) -10) 3)) -1)

Compiler

Compiled 1183 to 925 computations (21.8% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
✓	0.4b	(*.f64 (fma.f64 x x -1) -1/10)

series12.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

7.0ms	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
5.0ms	(*.f64 (fma.f64 x x -1) -1/10)

rewrite61.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

598×	`log1p-expm1-u_binary64`
598×	`expm1-log1p-u_binary64`
295×	`log-prod_binary64`
175×	`pow2_binary64`
120×	`expm1-udef_binary64`

Counts

2 → 47

Calls

2 calls:

60.0ms	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
60.0ms	(*.f64 (fma.f64 x x -1) -1/10)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	146	16
2	1568	16
3	4908	16
0	0	0
1	0	0

simplify96.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
414×	`unswap-sqr_binary64`
344×	`distribute-neg-frac_binary64`
327×	`div-sub_binary64`
281×	`associate-l_binary64`

Counts

71 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	332
1	128	314
2	354	293
3	1028	290
4	3175	290
5	4383	290
6	4929	290
7	4932	290

prune80.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	67	10	77

Error

Counts

77 → 10

Alt Table

Status	Error	Program
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
✓	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	21.6b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	21.2b	(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) -10) -2))
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
	22.4b	(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 x x -1) -10))) -1)
	1.3b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))
	0.6b	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3)) -1)
	42.9b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
▶	0.3b	(*.f64 (pow.f64 (fma.f64 x x -1) -1) -10)

Compiler

Compiled 973 to 761 computations (21.8% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (fma.f64 x x -1) -1)
✓	0.3b	(*.f64 (pow.f64 (fma.f64 x x -1) -1) -10)

series22.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

16.0ms	(*.f64 (pow.f64 (fma.f64 x x -1) -1) -10)
5.0ms	(pow.f64 (fma.f64 x x -1) -1)

rewrite78.0ms (2.1%)

Algorithm

2×	batch-egg-rewrite

Rules

569×	`log1p-expm1-u_binary64`
569×	`expm1-log1p-u_binary64`
379×	`unpow-prod-down_binary64`
279×	`log-prod_binary64`
169×	`pow2_binary64`

Counts

2 → 55

Calls

2 calls:

77.0ms	(pow.f64 (fma.f64 x x -1) -1)
77.0ms	(*.f64 (pow.f64 (fma.f64 x x -1) -1) -10)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	142	16
2	1493	16
3	5349	16
0	0	0
1	0	0

simplify106.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

414×	`unswap-sqr_binary64`
394×	`fma-neg_binary64`
377×	`div-sub_binary64`
350×	`sub-neg_binary64`
344×	`distribute-neg-frac_binary64`

Counts

79 → 85

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	437
1	161	411
2	465	406
3	1270	406
4	3397	406
5	4418	406
6	4956	406

prune160.0ms (4.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	85	10	95

Error

Counts

95 → 10

Alt Table

Status	Error	Program
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
✓	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	21.6b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	21.2b	(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) -10) -2))
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
	22.4b	(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 x x -1) -10))) -1)
	1.3b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))
	0.6b	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3)) -1)
	42.9b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
✓	0.3b	(*.f64 (pow.f64 (fma.f64 x x -1) -1) -10)

Compiler

Compiled 1273 to 1002 computations (21.3% saved)

regimes288.0ms (7.8%)

Accuracy

Total 0.2b remaining (87.3%)

Threshold costs 0.2b (87.3%)

Counts

33 → 1

Compiler

Compiled 1664 to 1306 computations (21.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	6	8

end313.0ms (8.5%)

Compiler: Compiled 124 to 96 computations (22.6% saved)

Details

analyze4.0ms (0.1%)

sample1.7s (45.5%)

simplify219.0ms (5.9%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

series6.0ms (0.2%)

rewrite95.0ms (2.6%)

simplify76.0ms (2.1%)

prune73.0ms (2%)

localize10.0ms (0.3%)

series10.0ms (0.3%)

rewrite73.0ms (2%)

simplify93.0ms (2.5%)

prune105.0ms (2.8%)

localize9.0ms (0.2%)

series12.0ms (0.3%)

rewrite61.0ms (1.7%)

simplify96.0ms (2.6%)

prune80.0ms (2.2%)

localize9.0ms (0.2%)

series22.0ms (0.6%)

rewrite78.0ms (2.1%)

simplify106.0ms (2.9%)

prune160.0ms (4.3%)

regimes288.0ms (7.8%)

simplify3.0ms (0.1%)

end313.0ms (8.5%)

Profiling