Details

analyze421.0ms (10.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample31.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
9.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify126.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-def_binary64`
913×	`fma-neg_binary64`
520×	`distribute-rgt-in_binary64`
481×	`div-sub_binary64`
441×	`unsub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	16
2	39	14
3	78	14
4	233	14
5	529	14
6	976	14
7	1686	14
8	1746	14
9	1952	14
10	2334	14
11	2818	14
12	3104	14
13	4560	14
14	4195	14
15	4799	14

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 2

Alt Table

Status	Error	Program
	0.3b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
▶	0.3b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite173.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`add-cube-cbrt_binary64`
26×	`pow1_binary64`
20×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`add-cbrt-cube_binary64`

Counts

3 → 136

Calls

3 calls:

18.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
17.0ms	(*.f64 m (-.f64 1 m))
17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

Compiler

Compiled 2610 to 1574 computations (39.7% saved)

series64.0ms (1.6%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

30.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
17.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 708 to 484 computations (31.6% saved)

simplify117.0ms (3%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-neg_binary64`
317×	`cancel-sign-sub-inv_binary64`
258×	`log-prod_binary64`
233×	`associate-l_binary64`
216×	`unswap-sqr_binary64`

Counts

166 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2040
1	444	1890
2	2099	1755
3	4090	1755
4	4948	1755

prune104.0ms (2.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	103	8	111
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	103	10	113

Error

0.0b

Counts

113 → 10

Alt Table

Status	Error	Program
	0.3b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	51.2b	(neg.f64 (/.f64 (pow.f64 m 3) v))
▶	0.2b	(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
	19.4b	(-.f64 (/.f64 (*.f64 m m) v) m)
	1.3b	(.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
	0.8b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (*.f64 m (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))
	26.6b	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 3) (pow.f64 1 3)) (/.f64 (+.f64 1 (.f64 (/.f64 (-.f64 m (.f64 m m)) v) (+.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1))) m))
✓	0.3b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
	44.5b	(sqrt.f64 (.f64 m (.f64 m (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 2))))
	35.9b	(.f64 (sqrt.f64 (.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))

Compiler

Compiled 1579 to 826 computations (47.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
0.2b	(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))

rewrite74.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`pow1_binary64`
13×	`fma-udef_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
8×	`add-exp-log_binary64`

Counts

2 → 77

Calls

2 calls:

13.0ms	(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
11.0ms	(fma.f64 (/.f64 m v) (-.f64 1 m) -1)

Compiler

Compiled 1152 to 669 computations (41.9% saved)

series58.0ms (1.5%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

29.0ms	(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
22.0ms	(fma.f64 (/.f64 m v) (-.f64 1 m) -1)

Compiler

Compiled 626 to 416 computations (33.5% saved)

simplify89.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-neg_binary64`
402×	`distribute-rgt-in_binary64`
375×	`distribute-lft-in_binary64`
309×	`fma-def_binary64`
248×	`*-commutative_binary64`

Counts

107 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	1531
1	263	1293
2	915	1264
3	4019	1258
4	5044	1258

prune87.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	3	5	8
Picked	0	1	1
Done	1	0	1
Total	56	8	64

Error

Counts

64 → 8

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) (neg.f64 m))
	0.8b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (*.f64 m (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))
	0.3b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
✓	0.2b	(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
	1.3b	(.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
	7.1b	(pow.f64 (-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v))) 1)
	44.5b	(sqrt.f64 (.f64 m (.f64 m (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 2))))
	35.9b	(.f64 (sqrt.f64 (.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))

Compiler

Compiled 702 to 393 computations (44% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) (neg.f64 m))
0.0b	(-.f64 m (*.f64 m m))
0.1b	(/.f64 (-.f64 m (*.f64 m m)) v)
0.2b	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))

rewrite195.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-cube-cbrt_binary64`
23×	`pow1_binary64`
21×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`

Counts

4 → 191

Calls

4 calls:

19.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
18.0ms	(+.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) (neg.f64 m))
17.0ms	(-.f64 m (*.f64 m m))
16.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))

Compiler

Compiled 3457 to 693 computations (80% saved)

series97.0ms (2.4%)

Error

Counts

4 → 39

Calls

4 calls:

33.0ms	(+.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) (neg.f64 m))
23.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
18.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
8.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1015 to 667 computations (34.3% saved)

simplify143.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-neg_binary64`
261×	`log-prod_binary64`
179×	`div-sub_binary64`
178×	`associate-l_binary64`
162×	`associate-r_binary64`

Counts

230 → 127

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	3149
1	561	2877
2	2615	2837
3	4612	2837
4	4907	2837

prune61.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	127	8	135

Error

Counts

135 → 8

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) (neg.f64 m))
	0.8b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (*.f64 m (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))
▶	0.3b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
✓	0.2b	(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
	1.3b	(.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
	7.1b	(pow.f64 (-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v))) 1)
	44.5b	(sqrt.f64 (.f64 m (.f64 m (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 2))))
	35.9b	(.f64 (sqrt.f64 (.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))

Compiler

Compiled 1826 to 644 computations (64.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.2b	(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
0.2b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

rewrite126.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-cube-cbrt_binary64`
19×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`

Counts

3 → 129

Calls

3 calls:

17.0ms	(/.f64 (-.f64 1 m) v)
14.0ms	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
9.0ms	(fma.f64 m (/.f64 (-.f64 1 m) v) -1)

Compiler

Compiled 1903 to 1240 computations (34.8% saved)

series77.0ms (1.9%)

Error

Counts

3 → 39

Calls

3 calls:

30.0ms	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
25.0ms	(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
14.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 872 to 575 computations (34.1% saved)

simplify172.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-def_binary64`
519×	`fma-neg_binary64`
269×	`cancel-sign-sub-inv_binary64`
175×	`associate-l_binary64`
158×	`distribute-lft-neg-out_binary64`

Counts

168 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	2084
1	438	1801
2	1844	1788
3	4567	1788
4	4973	1788

prune43.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	97	8	105

Error

Counts

105 → 8

Alt Table

Status	Error	Program
	0.2b	(+.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) (neg.f64 m))
	0.8b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (*.f64 m (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))
	0.3b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	0.2b	(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
	1.3b	(.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
	7.1b	(pow.f64 (-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v))) 1)
	44.5b	(sqrt.f64 (.f64 m (.f64 m (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 2))))
	35.9b	(.f64 (sqrt.f64 (.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))

Compiler

Compiled 1103 to 620 computations (43.8% saved)

regimes654.0ms (16.6%)

Accuracy

Total 0.2b remaining (85.6%)

Threshold costs 0.2b (85.6%)

Compiler

Compiled 9840 to 6577 computations (33.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`mul-1-neg_binary64`
1×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	19	16
2	22	16
3	23	16
4	24	16
5	23	16

end0.0ms (0%)

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

sample997.0ms (25.3%)

Algorithm

1×

intervals

Results

364.0ms	8000×	body	128	valid
192.0ms	8044×	pre	128	true
2.0ms	44×	body	128	invalid

Compiler

Compiled 189 to 125 computations (33.9% saved)

Details

analyze421.0ms (10.7%)

sample31.0ms (0.8%)

simplify126.0ms (3.2%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite173.0ms (4.4%)

series64.0ms (1.6%)

simplify117.0ms (3%)

prune104.0ms (2.6%)

localize6.0ms (0.2%)

rewrite74.0ms (1.9%)

series58.0ms (1.5%)

simplify89.0ms (2.3%)

prune87.0ms (2.2%)

localize8.0ms (0.2%)

rewrite195.0ms (4.9%)

series97.0ms (2.4%)

simplify143.0ms (3.6%)

prune61.0ms (1.6%)

localize7.0ms (0.2%)

rewrite126.0ms (3.2%)

series77.0ms (1.9%)

simplify172.0ms (4.4%)

prune43.0ms (1.1%)

regimes654.0ms (16.6%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample997.0ms (25.3%)

Profiling