Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample653.0ms (42.6%)

Results

602.0ms	8237×	body	128	valid
5.0ms	5×	body	1024	valid
2.0ms	7×	body	2048	valid
1.0ms	4×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify15.0ms (1%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
26×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

prune2.0ms (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 500 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))

series8.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 500 (-.f64 x y))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 50

Calls

1 calls:

6.0ms

(*.f64 500 (-.f64 x y))

simplify80.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

515×	`associate-l_binary64`
436×	`neg-sub0_binary64`
421×	`associate-r_binary64`
419×	`neg-mul-1_binary64`
389×	`fma-neg_binary64`

Counts

74 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	757
1	184	697
2	493	589
3	2165	589
4	3889	589
5	4897	589

prune35.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Error

Counts

59 → 2

Alt Table

Status	Error	Program
	29.8b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
▶	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

Compiler

Compiled 968 to 420 computations (56.6% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

series7.0ms (0.5%)

Counts

1 → 6

Calls

1 calls:

7.0ms

(-.f64 (*.f64 500 x) (*.f64 500 y))

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`distribute-lft-out--_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

5.0ms

(-.f64 (*.f64 500 x) (*.f64 500 y))

simplify77.0ms (5%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-def_binary64`
509×	`fma-neg_binary64`
469×	`times-frac_binary64`
379×	`distribute-rgt-in_binary64`
323×	`distribute-lft-in_binary64`

Counts

23 → 31

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	235
1	112	203
2	367	200
3	1082	200
4	2658	199
5	4158	199
6	5138	199

prune38.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

Counts

33 → 2

Alt Table

Status	Error	Program
▶	29.8b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

Compiler

Compiled 400 to 276 computations (31% saved)

localize9.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 500 (sqrt.f64 (-.f64 x y)))
✓	0.2b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

series79.0ms (5.1%)

Counts

2 → 28

Calls

2 calls:

56.0ms	(*.f64 500 (sqrt.f64 (-.f64 x y)))
23.0ms	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

rewrite37.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`associate-r_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`sqrt-div_binary64`
11×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64`

Counts

2 → 61

Calls

2 calls:

18.0ms	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
11.0ms	(*.f64 500 (sqrt.f64 (-.f64 x y)))

simplify189.0ms (12.3%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
351×	`times-frac_binary64`
336×	`fma-neg_binary64`
242×	`*-commutative_binary64`
222×	`cancel-sign-sub-inv_binary64`

Counts

89 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1289
1	358	1205
2	958	1201
3	2535	1199
4	4846	1199
5	4985	1199
6	4918	1199

prune72.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Error

Counts

93 → 2

Alt Table

Status	Error	Program
✓	29.8b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

Compiler

Compiled 1805 to 723 computations (59.9% saved)

regimes124.0ms (8.1%)

Accuracy

Total -0.0b remaining (-25.7%)

Threshold costs -0.0b (-25.7%)

Counts

12 → 1

Compiler

Compiled 525 to 379 computations (27.8% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end77.0ms (5%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Details

analyze1.0ms (0.1%)

sample653.0ms (42.6%)

simplify15.0ms (1%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series8.0ms (0.5%)

rewrite9.0ms (0.6%)

simplify80.0ms (5.2%)

prune35.0ms (2.3%)

localize8.0ms (0.5%)

series7.0ms (0.5%)

rewrite6.0ms (0.4%)

simplify77.0ms (5%)

prune38.0ms (2.5%)

localize9.0ms (0.6%)

series79.0ms (5.1%)

rewrite37.0ms (2.4%)

simplify189.0ms (12.3%)

prune72.0ms (4.7%)

regimes124.0ms (8.1%)

simplify4.0ms (0.3%)

end77.0ms (5%)

Profiling

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7