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)

sample1.2s (45.9%)

Results

979.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify199.0ms (7.6%)

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

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 (0.1%)

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))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

2.0ms

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

simplify60.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

741×	`fma-def_binary64`
662×	`fma-neg_binary64`
373×	`unswap-sqr_binary64`
363×	`associate-l_binary64`
341×	`associate-/r*_binary64`

Counts

41 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	680
1	196	628
2	486	625
3	1291	622
4	4092	622
5	5302	622

prune37.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Error

0.0b

Counts

49 → 9

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	42.3b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
▶	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	42.7b	(.f64 (/.f64 (.f64 (cbrt.f64 -10) (cbrt.f64 -10)) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 -10) (sqrt.f64 (fma.f64 x x -1))))
	22.4b	(*.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (/.f64 (.f64 (.f64 -10 -10) -10) (.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x -1)) (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))

Compiler

Compiled 887 to 677 computations (23.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

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

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`

Counts

2 → 71

Calls

2 calls:

6.0ms	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
2.0ms	(/.f64 1 (fma.f64 x x -1))

simplify89.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

491×	`times-frac_binary64`
409×	`fma-neg_binary64`
317×	`associate-/l*_binary64`
308×	`cancel-sign-sub-inv_binary64`
206×	`associate-/l/_binary64`

Counts

95 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1331
1	275	1202
2	687	1197
3	1768	1197
4	4481	1197
5	4980	1197
6	4914	1197

prune102.0ms (3.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	117	14	131

Error

Counts

131 → 14

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	0.7b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
	1.4b	(.f64 (.f64 -10 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (.f64 (.f64 (.f64 -10 -10) -10) (.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) (/.f64 1 (fma.f64 x x -1))) (/.f64 1 (fma.f64 x x -1)))))
	42.3b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
✓	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
▶	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	22.4b	(*.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (/.f64 (.f64 (.f64 -10 -10) -10) (.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x -1)) (fma.f64 x x -1))))
	0.7b	(.f64 -10 (cbrt.f64 (.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) (/.f64 1 (fma.f64 x x -1))) (/.f64 1 (fma.f64 x x -1)))))
	42.4b	(*.f64 -10 (expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1)))))
	42.2b	(.f64 (.f64 -10 (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))) (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))

Compiler

Compiled 2209 to 1721 computations (22.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

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

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 107

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
2.0ms	(/.f64 (fma.f64 x x -1) -10)

simplify101.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-def_binary64`
705×	`fma-neg_binary64`
614×	`times-frac_binary64`
174×	`distribute-rgt-in_binary64`
155×	`cancel-sign-sub-inv_binary64`

Counts

131 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	2341
1	284	2047
2	717	1997
3	1894	1994
4	4587	1994
5	4985	1994

prune131.0ms (5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	3	8	11
Picked	1	0	1
Done	0	2	2
Total	164	11	175

Error

Counts

175 → 11

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 -1 (*.f64 1/10 (fma.f64 x x -1)))
✓	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	0.7b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
	1.4b	(.f64 (.f64 -10 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (.f64 (.f64 (.f64 -10 -10) -10) (.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) (/.f64 1 (fma.f64 x x -1))) (/.f64 1 (fma.f64 x x -1)))))
	42.3b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
	22.4b	(*.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (/.f64 (.f64 (.f64 -10 -10) -10) (.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x -1)) (fma.f64 x x -1))))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	0.7b	(.f64 -10 (cbrt.f64 (.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) (/.f64 1 (fma.f64 x x -1))) (/.f64 1 (fma.f64 x x -1)))))

Compiler

Compiled 3000 to 2381 computations (20.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series8.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

5.0ms	(/.f64 -1 (*.f64 1/10 (fma.f64 x x -1)))
3.0ms	(*.f64 1/10 (fma.f64 x x -1))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 45

Calls

2 calls:

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

simplify60.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

793×	`times-frac_binary64`
646×	`distribute-rgt-in_binary64`
220×	`fma-neg_binary64`
171×	`fma-def_binary64`
158×	`associate-l_binary64`

Counts

69 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	874
1	247	777
2	650	774
3	2069	774
4	5321	774

prune58.0ms (2.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	2	6	8
Picked	0	1	1
Done	0	2	2
Total	88	11	99

Error

Counts

99 → 11

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 -1 (*.f64 1/10 (fma.f64 x x -1)))
✓	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	0.6b	(/.f64 -1 (.f64 (sqrt.f64 1/10) (.f64 (sqrt.f64 1/10) (fma.f64 x x -1))))
	22.4b	(*.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	1.4b	(.f64 (.f64 -10 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (.f64 (.f64 (.f64 -10 -10) -10) (.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) (/.f64 1 (fma.f64 x x -1))) (/.f64 1 (fma.f64 x x -1)))))
	42.3b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
	0.6b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	0.7b	(.f64 -10 (cbrt.f64 (.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) (/.f64 1 (fma.f64 x x -1))) (/.f64 1 (fma.f64 x x -1)))))

Compiler

Compiled 1292 to 1000 computations (22.6% saved)

regimes348.0ms (13.3%)

Accuracy

Total 0.2b remaining (90.5%)

Threshold costs 0.2b (90.5%)

Counts

74 → 1

Compiler

Compiled 4316 to 3454 computations (20% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	6	8

end150.0ms (5.7%)

Compiler: Compiled 180 to 138 computations (23.3% saved)

Details

analyze3.0ms (0.1%)

sample1.2s (45.9%)

simplify199.0ms (7.6%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite3.0ms (0.1%)

simplify60.0ms (2.3%)

prune37.0ms (1.4%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite12.0ms (0.4%)

simplify89.0ms (3.4%)

prune102.0ms (3.9%)

localize5.0ms (0.2%)

series6.0ms (0.2%)

rewrite14.0ms (0.5%)

simplify101.0ms (3.8%)

prune131.0ms (5%)

localize5.0ms (0.2%)

series8.0ms (0.3%)

rewrite7.0ms (0.3%)

simplify60.0ms (2.3%)

prune58.0ms (2.2%)

regimes348.0ms (13.3%)

simplify2.0ms (0.1%)

end150.0ms (5.7%)

Profiling