Details

analyze1.1s (27.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample1.5s (39.6%)

Results

1.1s	7986×	body	128	valid
232.0ms	1935×	body	128	invalid
48.0ms	136×	body	1024	valid
25.0ms	84×	body	512	valid
9.0ms	50×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
317×	`associate-+l+_binary64`
210×	`associate-+r+_binary64`
79×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	32	17
2	87	15
3	232	15
4	484	15
5	761	15
6	922	15
7	936	15
8	916	15

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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
▶	0.1b	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))

Compiler

Compiled 98 to 61 computations (37.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))
✓	0.0b	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))
✓	0.0b	(+.f64 (+.f64 (+.f64 y z) z) y)
✓	0.0b	(+.f64 (+.f64 y z) z)

series47.0ms (1.2%)

Counts

4 → 144

Calls

4 calls:

21.0ms	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))
17.0ms	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))
4.0ms	(+.f64 (+.f64 y z) z)
4.0ms	(+.f64 (+.f64 (+.f64 y z) z) y)

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64`
23×	`distribute-lft-out_binary64`
20×	`add-log-exp_binary64`
10×	`sum-log_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

4 → 89

Calls

4 calls:

13.0ms	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))
12.0ms	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))
7.0ms	(+.f64 (+.f64 (+.f64 y z) z) y)
5.0ms	(+.f64 (+.f64 y z) z)

simplify97.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

975×	`fma-def_binary64`
597×	`associate-+l+_binary64`
491×	`fma-neg_binary64`
476×	`associate-+r+_binary64`
167×	`distribute-rgt-in_binary64`

Counts

233 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	3170
1	456	2525
2	1559	2370
3	4797	2370
4	5188	2370

prune120.0ms (3.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	157	2	159

Error

Counts

159 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (+.f64 z y) x)) (.f64 t x)) (.f64 y 5))
▶	0.0b	(fma.f64 y 5 (*.f64 (fma.f64 2 (+.f64 z y) t) x))

Compiler

Compiled 3229 to 1319 computations (59.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fma.f64 2 (+.f64 z y) t) x)
✓	0.0b	(fma.f64 y 5 (*.f64 (fma.f64 2 (+.f64 z y) t) x))

series35.0ms (0.9%)

Counts

2 → 96

Calls

2 calls:

19.0ms	(fma.f64 y 5 (*.f64 (fma.f64 2 (+.f64 z y) t) x))
16.0ms	(*.f64 (fma.f64 2 (+.f64 z y) t) x)

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

3.0ms	(*.f64 (fma.f64 2 (+.f64 z y) t) x)
0.0ms	(fma.f64 y 5 (*.f64 (fma.f64 2 (+.f64 z y) t) x))

simplify140.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
554×	`unswap-sqr_binary64`
335×	`*-commutative_binary64`
276×	`distribute-lft-in_binary64`
274×	`sqr-pow_binary64`

Counts

126 → 72

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	2058
1	166	1587
2	390	1583
3	1594	1583
4	2671	1583
5	2960	1583
6	4246	1583
7	4716	1583
8	4950	1583
9	4757	1583

prune46.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Error

Counts

74 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (+.f64 z y) x)) (.f64 t x)) (.f64 y 5))
✓	0.0b	(fma.f64 y 5 (*.f64 (fma.f64 2 (+.f64 z y) t) x))

Compiler

Compiled 1151 to 608 computations (47.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 z y) x)
✓	0.0b	(.f64 2 (.f64 (+.f64 z y) x))
✓	0.0b	(+.f64 (.f64 2 (.f64 (+.f64 z y) x)) (*.f64 t x))
✓	0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (+.f64 z y) x)) (.f64 t x)) (.f64 y 5))

series72.0ms (1.9%)

Counts

4 → 168

Calls

4 calls:

38.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (+.f64 z y) x)) (.f64 t x)) (.f64 y 5))
18.0ms	(+.f64 (.f64 2 (.f64 (+.f64 z y) x)) (*.f64 t x))
8.0ms	(.f64 2 (.f64 (+.f64 z y) x))
7.0ms	(*.f64 (+.f64 z y) x)

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
11×	`pow1_binary64`
11×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64`

Counts

4 → 77

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (+.f64 z y) x)) (.f64 t x)) (.f64 y 5))
7.0ms	(+.f64 (.f64 2 (.f64 (+.f64 z y) x)) (*.f64 t x))
5.0ms	(.f64 2 (.f64 (+.f64 z y) x))
4.0ms	(*.f64 (+.f64 z y) x)

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

938×	`fma-def_binary64`
549×	`fma-neg_binary64`
502×	`cancel-sign-sub-inv_binary64`
443×	`*-commutative_binary64`
237×	`associate-+l+_binary64`

Counts

245 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	3370
1	425	2883
2	1558	2753
3	3784	2753
4	5133	2753

prune91.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	153	2	155

Error

Counts

155 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (+.f64 z y) x)) (.f64 t x)) (.f64 y 5))
✓	0.0b	(fma.f64 y 5 (*.f64 (fma.f64 2 (+.f64 z y) t) x))

Compiler

Compiled 3146 to 1425 computations (54.7% saved)

regimes351.0ms (9%)

Accuracy

Total 0.0b remaining (59.2%)

Threshold costs 0.0b (59.2%)

Counts

72 → 1

Compiler

Compiled 5698 to 3981 computations (30.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
2	13	15

end49.0ms (1.3%)

Compiler: Compiled 64 to 43 computations (32.8% saved)

Details

analyze1.1s (27.6%)

sample1.5s (39.6%)

simplify19.0ms (0.5%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series47.0ms (1.2%)

rewrite42.0ms (1.1%)

simplify97.0ms (2.5%)

prune120.0ms (3.1%)

localize9.0ms (0.2%)

series35.0ms (0.9%)

rewrite4.0ms (0.1%)

simplify140.0ms (3.6%)

prune46.0ms (1.2%)

localize9.0ms (0.2%)

series72.0ms (1.9%)

rewrite28.0ms (0.7%)

simplify103.0ms (2.6%)

prune91.0ms (2.3%)

regimes351.0ms (9%)

simplify2.0ms (0.1%)

end49.0ms (1.3%)

Profiling