Details

analyze3.0ms (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)

sample874.0ms (40.7%)

Results

684.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify169.0ms (7.9%)

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`

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

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

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

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 -10 (fma.f64 x x -1))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

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

rewrite58.0ms (2.7%)

Algorithm

1×	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`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

1 calls:

58.0ms

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

simplify62.0ms (2.9%)

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`

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

Stop Event

1×	node limit

Counts

50 → 53

prune43.0ms (2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	41	12	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	13	54

Error

0.0b

Counts

54 → 13

Alt Table

Status	Error	Program
	19.8b	(.f64 (pow.f64 (.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))))
	1.7b	(.f64 (pow.f64 (.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))
	1.4b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))
	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	19.8b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	19.8b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	18.5b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
▶	0.4b	(pow.f64 (/.f64 (fma.f64 x x -1) -10) -1)
	18.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
✓	0.3b	(/.f64 -10 (fma.f64 x x -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))))
	2.2b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))

Compiler

Compiled 1057 to 833 computations (21.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(pow.f64 (/.f64 (fma.f64 x x -1) -10) -1)
3.0ms	(/.f64 (fma.f64 x x -1) -10)

rewrite38.0ms (1.8%)

Algorithm

1×	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`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 60

Calls

2 calls:

37.0ms	(pow.f64 (/.f64 (fma.f64 x x -1) -10) -1)
37.0ms	(/.f64 (fma.f64 x x -1) -10)

simplify73.0ms (3.4%)

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`

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

Stop Event

1×	node limit

Counts

84 → 80

prune60.0ms (2.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	6	5	11
Picked	1	0	1
Done	0	1	1
Total	80	13	93

Error

Counts

93 → 13

Alt Table

Status	Error	Program
	1.3b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (.f64 (cbrt.f64 (fma.f64 x x -1)) -1/10)) -1)
	19.8b	(.f64 (pow.f64 (.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))))
	1.3b	(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) -10)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x -1) -10)))
▶	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	45.7b	(pow.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (.f64 (sqrt.f64 (fma.f64 x x -1)) -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))))
	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
	19.8b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	18.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	0.7b	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) -10) 3)) -1)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	1.3b	(/.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))

Compiler

Compiled 1317 to 1031 computations (21.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
✓	0.4b	(*.f64 (fma.f64 x x -1) -1/10)

series6.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
3.0ms	(*.f64 (fma.f64 x x -1) -1/10)

rewrite37.0ms (1.7%)

Algorithm

1×	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`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

2 calls:

36.0ms	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
36.0ms	(*.f64 (fma.f64 x x -1) -1/10)

simplify73.0ms (3.4%)

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`

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

Stop Event

1×	node limit

Counts

71 → 67

prune44.0ms (2.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	67	13	80

Error

Counts

80 → 13

Alt Table

Status	Error	Program
	1.3b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (.f64 (cbrt.f64 (fma.f64 x x -1)) -1/10)) -1)
	19.8b	(.f64 (pow.f64 (.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))))
	1.3b	(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) -10)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x -1) -10)))
✓	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	19.0b	(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) -1)
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
▶	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
	19.8b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	18.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	0.7b	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) -10) 3)) -1)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	45.7b	(pow.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (.f64 (sqrt.f64 (fma.f64 x x -1)) -1/10)) -1)
	1.3b	(/.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))

Compiler

Compiled 1105 to 865 computations (21.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (fma.f64 x x -1))
✓	0.4b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)

series7.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
3.0ms	(/.f64 1 (fma.f64 x x -1))

rewrite37.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
297×	`log-prod_binary64`
128×	`expm1-udef_binary64`
128×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	163	16
2	1713	16
3	5052	16

Stop Event

1×	node limit

Counts

2 → 54

Calls

2 calls:

36.0ms	(/.f64 1 (fma.f64 x x -1))
36.0ms	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)

simplify66.0ms (3.1%)

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`

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

Stop Event

1×	node limit

Counts

78 → 84

prune47.0ms (2.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	8	10
Picked	0	1	1
Done	1	1	2
Total	85	12	97

Error

Counts

97 → 12

Alt Table

Status	Error	Program
	19.0b	(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) -1)
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	0.6b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -1/10)
	0.7b	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) -10) 3)) -1)
	18.4b	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
	19.8b	(.f64 (pow.f64 (.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))))
	1.3b	(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) -10)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x -1) -10)))
✓	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
	19.8b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	18.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	45.7b	(pow.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (.f64 (sqrt.f64 (fma.f64 x x -1)) -1/10)) -1)

Compiler

Compiled 1197 to 938 computations (21.6% saved)

regimes223.0ms (10.4%)

Accuracy

Total 0.2b remaining (89%)

Threshold costs 0.2b (89%)

Counts

55 → 1

Compiler

Compiled 2920 to 2314 computations (20.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	6	8

Stop Event

1×

saturated

end199.0ms (9.2%)

Compiler: Compiled 169 to 133 computations (21.3% saved)

Details

analyze3.0ms (0.1%)

sample874.0ms (40.7%)

simplify169.0ms (7.9%)

prune3.0ms (0.1%)

localize3.0ms (0.2%)

series3.0ms (0.1%)

rewrite58.0ms (2.7%)

simplify62.0ms (2.9%)

prune43.0ms (2%)

localize5.0ms (0.2%)

series6.0ms (0.3%)

rewrite38.0ms (1.8%)

simplify73.0ms (3.4%)

prune60.0ms (2.8%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite37.0ms (1.7%)

simplify73.0ms (3.4%)

prune44.0ms (2.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite37.0ms (1.7%)

simplify66.0ms (3.1%)

prune47.0ms (2.2%)

regimes223.0ms (10.4%)

simplify2.0ms (0.1%)

end199.0ms (9.2%)

Profiling