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)

sample943.0ms (34.5%)

Results

715.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify202.0ms (7.4%)

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

0.2b

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)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))

simplify59.0ms (2.2%)

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

prune127.0ms (4.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	8	49

Error

0.0b

Counts

49 → 8

Alt Table

Status	Error	Program
	1.3b	(/.f64 (/.f64 -10 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
	25.1b	(*.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	39.5b	(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))))
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
▶	0.3b	(*.f64 -10 (/.f64 1 (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))))
	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))))

Compiler

Compiled 882 to 670 computations (24% saved)

localize143.0ms (5.2%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.2%)

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:

5.0ms	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
2.0ms	(/.f64 1 (fma.f64 x x -1))

simplify107.0ms (3.9%)

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

prune85.0ms (3.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	121	9	130

Error

0.0b

Counts

130 → 9

Alt Table

Status	Error	Program
	1.3b	(/.f64 (/.f64 -10 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
	0.7b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
	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 (.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)))))
	39.5b	(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))))
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
▶	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
✓	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	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))))

Compiler

Compiled 2056 to 1602 computations (22.1% saved)

localize58.0ms (2.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.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:

4.0ms	(/.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:

4.0ms	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
2.0ms	(/.f64 (fma.f64 x x -1) -10)

simplify96.0ms (3.5%)

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

prune115.0ms (4.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	1	6	7
Picked	1	0	1
Done	1	0	1
Total	162	8	170

Error

0.0b

Counts

170 → 8

Alt Table

Status	Error	Program
	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 (.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)))))
	0.7b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
	39.5b	(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))))
▶	0.3b	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) -10))))
	0.4b	(/.f64 (/.f64 1 (fma.f64 x x -1)) (/.f64 1 -10))
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	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))))

Compiler

Compiled 2930 to 2331 computations (20.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) -10)))
✓	0.2b	(log1p.f64 (/.f64 (fma.f64 x x -1) -10))
	0.2b	(/.f64 (fma.f64 x x -1) -10)
✓	0.3b	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) -10))))

series11.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

4.0ms	(log1p.f64 (/.f64 (fma.f64 x x -1) -10))
4.0ms	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) -10))))
3.0ms	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) -10)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
7×	`add-exp-log_binary64`

Counts

3 → 55

Calls

3 calls:

3.0ms	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) -10))))
0.0ms	(log1p.f64 (/.f64 (fma.f64 x x -1) -10))
0.0ms	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) -10)))

simplify96.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

473×	`fma-neg_binary64`
468×	`cancel-sign-sub-inv_binary64`
307×	`fma-def_binary64`
280×	`sub-neg_binary64`
264×	`times-frac_binary64`

Counts

91 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1429
1	333	1325
2	859	1242
3	2467	1242
4	4555	1242
5	4955	1242
6	4997	1242

prune115.0ms (4.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	163	8	171

Error

0.0b

Counts

171 → 8

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) -10))))
	0.7b	(/.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) -10)) 3))))
	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 (.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)))))
	0.7b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
	0.4b	(/.f64 (/.f64 1 (fma.f64 x x -1)) (/.f64 1 -10))
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	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))))

Compiler

Compiled 2777 to 2255 computations (18.8% saved)

regimes381.0ms (13.9%)

Accuracy

Total 0.2b remaining (85%)

Threshold costs 0.2b (85%)

Counts

91 → 1

Compiler

Compiled 5272 to 4226 computations (19.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	10	8
2	9	8

end124.0ms (4.5%)

Compiler: Compiled 146 to 114 computations (21.9% saved)

Details

analyze3.0ms (0.1%)

sample943.0ms (34.5%)

simplify202.0ms (7.4%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite3.0ms (0.1%)

simplify59.0ms (2.2%)

prune127.0ms (4.6%)

localize143.0ms (5.2%)

series7.0ms (0.2%)

rewrite12.0ms (0.4%)

simplify107.0ms (3.9%)

prune85.0ms (3.1%)

localize58.0ms (2.1%)

series6.0ms (0.2%)

rewrite14.0ms (0.5%)

simplify96.0ms (3.5%)

prune115.0ms (4.2%)

localize10.0ms (0.4%)

series11.0ms (0.4%)

rewrite6.0ms (0.2%)

simplify96.0ms (3.5%)

prune115.0ms (4.2%)

regimes381.0ms (13.9%)

simplify2.0ms (0.1%)

end124.0ms (4.5%)

Profiling