Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.1s (50.3%)

Symmetry

(sort b c d)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 95 to 67 computations (29.5% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def_binary64`
10×	`distribute-lft-in_binary64`
10×	`distribute-rgt-in_binary64`
7×	`*-commutative_binary64`
6×	`associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	39	10
3	60	10
4	70	10
5	67	10

prune1.0ms (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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

series13.0ms (0.6%)

Counts

1 → 48

Calls

1 calls:

13.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`

Counts

1 → 26

Calls

1 calls:

6.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

simplify88.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-neg_binary64`
558×	`distribute-rgt-in_binary64`
556×	`distribute-lft-in_binary64`
324×	`associate-l_binary64`
318×	`unswap-sqr_binary64`

Counts

74 → 49

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	792
1	170	750
2	596	750
3	2225	750
4	2696	750
5	3308	750
6	4843	750
7	5406	750

prune30.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Error

0.0b

Counts

50 → 4

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
	0.6b	(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (+.f64 (+.f64 b c) d)))
▶	0.0b	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 724 to 196 computations (72.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 b c) a)
✓	0.0b	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))

series19.0ms (0.8%)

Counts

2 → 84

Calls

2 calls:

13.0ms	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
6.0ms	(*.f64 (+.f64 b c) a)

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 38

Calls

2 calls:

7.0ms	(*.f64 (+.f64 b c) a)
5.0ms	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))

simplify93.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

479×	`associate-l_binary64`
445×	`distribute-rgt-in_binary64`
425×	`distribute-lft-in_binary64`
384×	`associate-r_binary64`
375×	`fma-def_binary64`

Counts

122 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1223
1	232	1120
2	786	1117
3	2904	1116
4	3987	1116
5	4981	1116
6	4963	1116

prune38.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	2	0	2
Picked	0	1	1
Done	1	0	1
Total	76	2	78

Error

Counts

78 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
▶	0.0b	(fma.f64 a b (fma.f64 a d (*.f64 a c)))

Compiler

Compiled 1081 to 270 computations (75% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a b (fma.f64 a d (*.f64 a c)))

series14.0ms (0.6%)

Counts

1 → 48

Calls

1 calls:

13.0ms

(fma.f64 a b (fma.f64 a d (*.f64 a c)))

rewrite1.0ms (0%)

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 a b (fma.f64 a d (*.f64 a c)))

simplify102.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

748×	`unswap-sqr_binary64`
676×	`distribute-rgt-in_binary64`
659×	`distribute-lft-in_binary64`
562×	`associate-/l/_binary64`
439×	`associate-l_binary64`

Counts

58 → 29

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	609
1	47	562
2	109	562
3	429	562
4	2539	562
5	2688	562
6	2979	562
7	3439	562
8	4029	562
9	4178	562
10	4940	562

prune12.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	29	2	31

Error

Counts

31 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
✓	0.0b	(fma.f64 a b (fma.f64 a d (*.f64 a c)))

Compiler

Compiled 344 to 74 computations (78.5% saved)

regimes141.0ms (6.2%)

Accuracy

Total 0.0b remaining (50%)

Threshold costs 0.0b (50%)

Counts

17 → 1

Compiler

Compiled 2021 to 1141 computations (43.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12
2	9	12

end526.0ms (23.2%)

Compiler: Compiled 78 to 43 computations (44.9% saved)

Details

analyze2.0ms (0.1%)

sample1.1s (50.3%)

simplify7.0ms (0.3%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series13.0ms (0.6%)

rewrite10.0ms (0.4%)

simplify88.0ms (3.9%)

prune30.0ms (1.3%)

localize6.0ms (0.3%)

series19.0ms (0.8%)

rewrite13.0ms (0.6%)

simplify93.0ms (4.1%)

prune38.0ms (1.7%)

localize6.0ms (0.3%)

series14.0ms (0.6%)

rewrite1.0ms (0%)

simplify102.0ms (4.5%)

prune12.0ms (0.5%)

regimes141.0ms (6.2%)

simplify2.0ms (0.1%)

end526.0ms (23.2%)

Profiling