Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample893.0ms (53%)

Symmetry

(sort d2 d3)

Results

852.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`distribute-rgt-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	13	7
2	18	7
3	18	7

prune4.0ms (0.3%)

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
▶	0.0b	(*.f64 d1 (+.f64 d2 d3))
	1.3b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 51 to 30 computations (41.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 d3))

series6.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 d3))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

5.0ms

(*.f64 d1 (+.f64 d2 d3))

simplify90.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

935×	`distribute-rgt-in_binary64`
925×	`distribute-lft-in_binary64`
590×	`fma-def_binary64`
549×	`fma-neg_binary64`
280×	`associate-l_binary64`

Counts

49 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	416
1	133	386
2	419	386
3	1050	386
4	3209	386
5	3409	386
6	4244	386
7	4814	386
8	4885	386

prune101.0ms (6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Status	Error	Program
	22.0b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
✓	0.0b	(*.f64 d1 (+.f64 d2 d3))
▶	1.3b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 477 to 149 computations (68.8% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.2b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

series7.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 15

Calls

1 calls:

3.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

simplify116.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

791×	`unsub-neg_binary64`
551×	`distribute-rgt-out_binary64`
343×	`distribute-rgt-in_binary64`
309×	`distribute-lft-in_binary64`
288×	`unswap-sqr_binary64`

Counts

51 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	420
1	116	402
2	419	401
3	1259	398
4	2596	398
5	3843	398
6	4403	398
7	5351	398

prune13.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	28	3	31

Error

Counts

31 → 3

Alt Table

Status	Error	Program
▶	22.0b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
✓	0.0b	(*.f64 d1 (+.f64 d2 d3))
✓	1.3b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 387 to 112 computations (71.1% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.8b	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
✓	7.5b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
✓	12.7b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

series106.0ms (6.3%)

Counts

3 → 96

Calls

3 calls:

61.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
38.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
7.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

rewrite24.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

10.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
6.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
5.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

simplify98.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

790×	`times-frac_binary64`
388×	`distribute-rgt-in_binary64`
370×	`distribute-lft-in_binary64`
240×	`fma-def_binary64`
136×	`exp-prod_binary64`

Counts

173 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	2599
1	335	2364
2	1283	2092
3	4755	2091
4	5065	2091

prune48.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Error

Counts

122 → 3

Alt Table

Status	Error	Program
✓	22.0b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
✓	0.0b	(*.f64 d1 (+.f64 d2 d3))
✓	1.3b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 2260 to 501 computations (77.8% saved)

regimes55.0ms (3.3%)

Accuracy

Total 0.0b remaining (68.2%)

Threshold costs 0.0b (68.2%)

Counts

12 → 1

Compiler

Compiled 600 to 382 computations (36.3% 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	6	7
1	8	7
2	8	7

end81.0ms (4.8%)

Remove: (sort d2 d3)
Compiler: Compiled 66 to 40 computations (39.4% saved)

Details

analyze2.0ms (0.1%)

sample893.0ms (53%)

simplify7.0ms (0.4%)

prune4.0ms (0.3%)

localize4.0ms (0.2%)

series6.0ms (0.4%)

rewrite6.0ms (0.3%)

simplify90.0ms (5.3%)

prune101.0ms (6%)

localize8.0ms (0.5%)

series7.0ms (0.4%)

rewrite4.0ms (0.2%)

simplify116.0ms (6.9%)

prune13.0ms (0.8%)

localize8.0ms (0.5%)

series106.0ms (6.3%)

rewrite24.0ms (1.4%)

simplify98.0ms (5.8%)

prune48.0ms (2.8%)

regimes55.0ms (3.3%)

simplify2.0ms (0.1%)

end81.0ms (4.8%)

Profiling