Details

analyze473.0ms (17%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
23.4%	71%	5.6%	9
35.1%	56.2%	8.7%	10
41%	49.9%	9.1%	11
45.1%	41.2%	13.7%	12
52.6%	31.2%	16.2%	13
56.3%	27.3%	16.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample888.0ms (31.9%)

Results

765.0ms	8256×	body	128	valid
94.0ms	1039×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-/l*_binary64`
1×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	12	8
3	14	8
4	15	8
5	15	8

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y (/.f64 y z) x)
	5.8b	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 54 to 30 computations (44.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y (/.f64 y z) x)

series13.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

13.0ms

(fma.f64 y (/.f64 y z) x)

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 y (/.f64 y z) x)

simplify53.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

611×	`associate-/l/_binary64`
604×	`associate-+l+_binary64`
543×	`associate-l_binary64`
462×	`fma-def_binary64`
424×	`associate-/r*_binary64`

Counts

46 → 17

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	376
1	28	359
2	59	359
3	151	359
4	551	359
5	2861	359
6	5394	359

prune9.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Error

0.0b

Counts

19 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y (/.f64 y z) x)
▶	5.8b	(+.f64 x (/.f64 (*.f64 y y) z))
	32.5b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))

Compiler

Compiled 222 to 71 computations (68% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (*.f64 y y) z))
✓	9.3b	(/.f64 (*.f64 y y) z)

series27.0ms (1%)

Counts

2 → 60

Calls

2 calls:

14.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
13.0ms	(/.f64 (*.f64 y y) z)

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`

Counts

2 → 40

Calls

2 calls:

6.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
3.0ms	(/.f64 (*.f64 y y) z)

simplify83.0ms (3%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-neg_binary64`
567×	`fma-def_binary64`
363×	`cancel-sign-sub-inv_binary64`
282×	`distribute-rgt-out_binary64`
269×	`*-commutative_binary64`

Counts

100 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	924
1	177	897
2	469	819
3	1624	819
4	3220	819
5	4792	819
6	5203	819

prune29.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Error

0.0b

Counts

61 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y (/.f64 y z) x)
✓	5.8b	(+.f64 x (/.f64 (*.f64 y y) z))
▶	0.1b	(+.f64 x (/.f64 y (/.f64 z y)))
	0.3b	(+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z))))

Compiler

Compiled 781 to 236 computations (69.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y (/.f64 z y)))
✓	0.2b	(/.f64 y (/.f64 z y))

series26.0ms (0.9%)

Counts

2 → 60

Calls

2 calls:

14.0ms	(+.f64 x (/.f64 y (/.f64 z y)))
12.0ms	(/.f64 y (/.f64 z y))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64`
45×	`add-sqr-sqrt_binary64`
45×	`add-cube-cbrt_binary64`
13×	`associate-/r*_binary64`

Counts

2 → 89

Calls

2 calls:

9.0ms	(+.f64 x (/.f64 y (/.f64 z y)))
4.0ms	(/.f64 y (/.f64 z y))

simplify117.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-def_binary64`
532×	`associate-/l*_binary64`
507×	`associate-/r/_binary64`
346×	`associate-l_binary64`
308×	`fma-neg_binary64`

Counts

149 → 145

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	167	1992
1	373	1799
2	1160	1727
3	3066	1703
4	4514	1688
5	4960	1688
6	4955	1688

prune80.0ms (2.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	144	5	149

Error

Counts

149 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y (/.f64 y z) x)
✓	5.8b	(+.f64 x (/.f64 (*.f64 y y) z))
✓	0.1b	(+.f64 x (/.f64 y (/.f64 z y)))
	0.3b	(+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z))))
▶	0.1b	(+.f64 x (/.f64 1 (/.f64 (/.f64 z y) y)))

Compiler

Compiled 2223 to 644 computations (71% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 1 (/.f64 (/.f64 z y) y)))
✓	0.2b	(/.f64 (/.f64 z y) y)
✓	0.5b	(/.f64 1 (/.f64 (/.f64 z y) y))

series59.0ms (2.1%)

Counts

3 → 84

Calls

3 calls:

28.0ms	(/.f64 (/.f64 z y) y)
20.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 z y) y)))
10.0ms	(/.f64 1 (/.f64 (/.f64 z y) y))

rewrite70.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

468×	`times-frac_binary64`
233×	`*-un-lft-identity_binary64`
230×	`add-sqr-sqrt_binary64`
230×	`add-cube-cbrt_binary64`
46×	`associate-/r*_binary64`

Counts

3 → 292

Calls

3 calls:

25.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 z y) y)))
9.0ms	(/.f64 1 (/.f64 (/.f64 z y) y))
4.0ms	(/.f64 (/.f64 z y) y)

simplify274.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
580×	`fma-neg_binary64`
428×	`associate-/l*_binary64`
374×	`*-commutative_binary64`
276×	`associate-/r/_binary64`

Counts

376 → 426

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	266	6762
1	533	5657
2	1379	5302
3	2451	5230
4	4254	5225
5	4724	5223
6	4995	5223
7	4868	5223

prune280.0ms (10%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	426	0	426
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	426	5	431

Error

Counts

431 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y (/.f64 y z) x)
✓	5.8b	(+.f64 x (/.f64 (*.f64 y y) z))
✓	0.1b	(+.f64 x (/.f64 y (/.f64 z y)))
	0.3b	(+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z))))
✓	0.1b	(+.f64 x (/.f64 1 (/.f64 (/.f64 z y) y)))

Compiler

Compiled 8265 to 2964 computations (64.1% saved)

regimes176.0ms (6.3%)

Accuracy

Total 0.1b remaining (88.9%)

Threshold costs 0.1b (88.9%)

Counts

34 → 1

Compiler

Compiled 3156 to 1974 computations (37.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	6	8

end53.0ms (1.9%)

Compiler: Compiled 76 to 44 computations (42.1% saved)

Details

analyze473.0ms (17%)

sample888.0ms (31.9%)

simplify12.0ms (0.4%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series13.0ms (0.5%)

rewrite4.0ms (0.2%)

simplify53.0ms (1.9%)

prune9.0ms (0.3%)

localize4.0ms (0.2%)

series27.0ms (1%)

rewrite10.0ms (0.4%)

simplify83.0ms (3%)

prune29.0ms (1.1%)

localize4.0ms (0.2%)

series26.0ms (0.9%)

rewrite21.0ms (0.8%)

simplify117.0ms (4.2%)

prune80.0ms (2.9%)

localize5.0ms (0.2%)

series59.0ms (2.1%)

rewrite70.0ms (2.5%)

simplify274.0ms (9.9%)

prune280.0ms (10%)

regimes176.0ms (6.3%)

simplify2.0ms (0.1%)

end53.0ms (1.9%)

Profiling