Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

sample914.0ms (34.4%)

Symmetry

(sort a b)

Results

874.0ms

8256×

body

128

valid

Compiler

Compiled 57 to 34 computations (40.4% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

70×	`fma-def_binary64`
24×	`associate-+l+_binary64`
18×	`associate-+r+_binary64`
10×	`distribute-rgt-in_binary64`
8×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	12	10
2	26	10
3	46	10
4	81	10
5	101	10
6	117	10
7	130	10
8	132	10
9	132	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 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 27 to 12 computations (55.6% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
6×	`swap-sqr_binary64`

Counts

1 → 42

Calls

1 calls:

6.0ms

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

simplify135.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-+l+_binary64`
594×	`unswap-sqr_binary64`
430×	`distribute-rgt-in_binary64`
422×	`distribute-lft-in_binary64`
327×	`fma-def_binary64`

Counts

66 → 64

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	994
1	200	853
2	739	757
3	2462	692
4	5240	692

prune126.0ms (4.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Error

Counts

65 → 3

Alt Table

Status	Error	Program
	0.5b	(cbrt.f64 (pow.f64 (+.f64 b a) 6))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
▶	0.0b	(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))

Compiler

Compiled 930 to 288 computations (69% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))

series6.0ms (0.2%)

Counts

1 → 6

Calls

1 calls:

6.0ms

(+.f64 (*.f64 2 (*.f64 a b)) (pow.f64 b 2))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`
1×	`flip3-+_binary64`

Counts

1 → 14

Calls

1 calls:

5.0ms

(+.f64 (*.f64 2 (*.f64 a b)) (pow.f64 b 2))

simplify94.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-neg_binary64`
372×	`associate-l_binary64`
341×	`distribute-rgt-out_binary64`
299×	`distribute-rgt-in_binary64`
295×	`associate-r_binary64`

Counts

20 → 27

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	287
1	106	243
2	369	214
3	1585	214
4	4287	212
5	4962	212

prune22.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Error

Counts

30 → 3

Alt Table

Status	Error	Program
▶	0.0b	(log.f64 (pow.f64 (exp.f64 b) (fma.f64 2 a b)))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.0b	(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))

Compiler

Compiled 435 to 268 computations (38.4% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (pow.f64 (exp.f64 b) (fma.f64 2 a b)))
✓	1.5b	(pow.f64 (exp.f64 b) (fma.f64 2 a b))

series883.0ms (33.3%)

Counts

2 → 48

Calls

2 calls:

874.0ms	(log.f64 (pow.f64 (exp.f64 b) (fma.f64 2 a b)))
8.0ms	(pow.f64 (exp.f64 b) (fma.f64 2 a b))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`log-prod_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`unpow-prod-down_binary64`

Counts

2 → 44

Calls

2 calls:

2.0ms	(pow.f64 (exp.f64 b) (fma.f64 2 a b))
2.0ms	(log.f64 (pow.f64 (exp.f64 b) (fma.f64 2 a b)))

simplify62.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

673×	`unswap-sqr_binary64`
504×	`distribute-rgt-out_binary64`
458×	`associate-l_binary64`
438×	`fma-def_binary64`
398×	`associate-r_binary64`

Counts

92 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1285
1	233	1137
2	713	1087
3	3016	1081
4	5274	1081

prune66.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Error

Counts

92 → 3

Alt Table

Status	Error	Program
✓	0.0b	(log.f64 (pow.f64 (exp.f64 b) (fma.f64 2 a b)))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.0b	(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))

Compiler

Compiled 1301 to 761 computations (41.5% saved)

regimes87.0ms (3.3%)

Accuracy

Total 0.1b remaining (95.5%)

Threshold costs 0.1b (95.5%)

Counts

21 → 1

Compiler

Compiled 941 to 583 computations (38% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11
2	8	11

end201.0ms (7.6%)

Compiler: Compiled 70 to 43 computations (38.6% saved)

Details

analyze1.0ms (0%)

sample914.0ms (34.4%)

simplify8.0ms (0.3%)

prune1.0ms (0.1%)

localize3.0ms (0.1%)

series9.0ms (0.3%)

rewrite9.0ms (0.3%)

simplify135.0ms (5.1%)

prune126.0ms (4.7%)

localize5.0ms (0.2%)

series6.0ms (0.2%)

rewrite5.0ms (0.2%)

simplify94.0ms (3.6%)

prune22.0ms (0.8%)

localize9.0ms (0.3%)

series883.0ms (33.3%)

rewrite6.0ms (0.2%)

simplify62.0ms (2.3%)

prune66.0ms (2.5%)

regimes87.0ms (3.3%)

simplify2.0ms (0.1%)

end201.0ms (7.6%)

Profiling