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)

sample1.2s (41%)

Symmetry

(sort b c d)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 95 to 67 computations (29.5% saved)

simplify7.0ms (0.2%)

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))

series15.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

15.0ms

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

rewrite8.0ms (0.3%)

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))

simplify91.0ms (3.2%)

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

prune28.0ms (1%)

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
	8.0b	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
▶	0.0b	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
	4.4b	(*.f64 a d)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 716 to 192 computations (73.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
✓	0.1b	(*.f64 (+.f64 b c) a)

series17.0ms (0.6%)

Counts

2 → 84

Calls

2 calls:

11.0ms	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
6.0ms	(*.f64 (+.f64 b c) a)

rewrite13.0ms (0.5%)

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:

8.0ms	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
4.0ms	(*.f64 (+.f64 b c) a)

simplify98.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

122 → 73

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

prune51.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Error

0.0b

Counts

77 → 4

Alt Table

Status	Error	Program
	8.0b	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
✓	0.0b	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
▶	4.4b	(*.f64 a d)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 1137 to 299 computations (73.7% saved)

localize2.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

0.0b

Counts

4 → 4

Alt Table

Status	Error	Program
▶	8.0b	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
✓	0.0b	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
✓	4.4b	(*.f64 a d)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 77 to 42 computations (45.5% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
✓	0.0b	(*.f64 (+.f64 b c) (+.f64 b c))
✓	0.5b	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
✓	7.5b	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))

series177.0ms (6.3%)

Counts

4 → 156

Calls

4 calls:

99.0ms	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
53.0ms	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
20.0ms	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
5.0ms	(*.f64 (+.f64 b c) (+.f64 b c))

rewrite52.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
13×	`pow1_binary64`

Counts

4 → 127

Calls

4 calls:

16.0ms	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
13.0ms	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
9.0ms	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
6.0ms	(*.f64 (+.f64 b c) (+.f64 b c))

simplify144.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

391×	`times-frac_binary64`
358×	`associate-r_binary64`
348×	`associate-/l*_binary64`
346×	`associate-l_binary64`
238×	`fma-neg_binary64`

Counts

283 → 271

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	401	7049
1	1183	6362
2	4905	6362
3	5086	6362

prune160.0ms (5.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	271	4	275

Error

0.0b

Counts

275 → 4

Alt Table

Status	Error	Program
✓	8.0b	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
✓	0.0b	(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
✓	4.4b	(*.f64 a d)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 8617 to 2462 computations (71.4% saved)

regimes232.0ms (8.2%)

Accuracy

Total 0.0b remaining (74%)

Threshold costs 0.0b (74%)

Counts

33 → 1

Compiler

Compiled 3872 to 2462 computations (36.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	13	13

end543.0ms (19.2%)

Compiler: Compiled 106 to 63 computations (40.6% saved)

Details

analyze2.0ms (0.1%)

sample1.2s (41%)

simplify7.0ms (0.2%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series15.0ms (0.5%)

rewrite8.0ms (0.3%)

simplify91.0ms (3.2%)

prune28.0ms (1%)

localize6.0ms (0.2%)

series17.0ms (0.6%)

rewrite13.0ms (0.5%)

simplify98.0ms (3.4%)

prune51.0ms (1.8%)

localize2.0ms (0.1%)

prune2.0ms (0.1%)

localize11.0ms (0.4%)

series177.0ms (6.3%)

rewrite52.0ms (1.8%)

simplify144.0ms (5.1%)

prune160.0ms (5.7%)

regimes232.0ms (8.2%)

simplify2.0ms (0.1%)

end543.0ms (19.2%)

Profiling