Details

analyze414.0ms (19.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
39%	60.8%	0.1%	9
51.5%	48.4%	0.1%	10
58.5%	39.8%	1.7%	11
59.3%	37.6%	3.1%	12
65.7%	28.5%	5.8%	13
69.1%	23.5%	7.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (55.8%)

Results

828.0ms	8256×	body	128	valid
136.0ms	1439×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify32.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

377×	`fma-neg_binary64`
309×	`fma-def_binary64`
112×	`cancel-sign-sub-inv_binary64`
77×	`distribute-rgt-in_binary64`
56×	`unsub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	80	10
5	138	10
6	302	10
7	420	10
8	581	10
9	647	10
10	718	10
11	740	10
12	744	10
13	699	10

prune4.0ms (0.2%)

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 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	0.0b	(/.f64 (-.f64 y x) z)

series24.0ms (1.1%)

Counts

2 → 64

Calls

2 calls:

14.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
10.0ms	(/.f64 (-.f64 y x) z)

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`

Counts

2 → 58

Calls

2 calls:

7.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
4.0ms	(/.f64 (-.f64 y x) z)

simplify102.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-neg_binary64`
598×	`times-frac_binary64`
572×	`associate-/l*_binary64`
274×	`div-sub_binary64`
243×	`distribute-rgt-in_binary64`

Counts

122 → 81

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1378
1	273	1269
2	636	1260
3	1893	1260
4	4435	1260
5	5003	1260

prune37.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	2	82

Error

Counts

82 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
▶	0.1b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))

Compiler

Compiled 1111 to 316 computations (71.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
✓	0.2b	(*.f64 (-.f64 y x) (/.f64 1 z))

series26.0ms (1.2%)

Counts

2 → 72

Calls

2 calls:

16.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
10.0ms	(*.f64 (-.f64 y x) (/.f64 1 z))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64`
11×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 60

Calls

2 calls:

7.0ms	(*.f64 (-.f64 y x) (/.f64 1 z))
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))

simplify96.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-neg_binary64`
388×	`distribute-rgt-in_binary64`
375×	`distribute-lft-in_binary64`
341×	`distribute-rgt-neg-out_binary64`
311×	`associate-l_binary64`

Counts

132 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1353
1	288	1230
2	873	1219
3	2884	1219
4	4804	1219
5	5175	1219

prune94.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Error

Counts

105 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	0.1b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))

Compiler

Compiled 1551 to 668 computations (56.9% saved)

regimes54.0ms (2.5%)

Accuracy

Total 0.0b remaining (37.5%)

Threshold costs 0.0b (37.5%)

Counts

13 → 1

Compiler

Compiled 812 to 418 computations (48.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	15	10
3	17	10
4	18	10
5	18	10

end37.0ms (1.7%)

Compiler: Compiled 42 to 26 computations (38.1% saved)

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	80	10
5	138	10
6	302	10
7	420	10
8	581	10
9	647	10
10	718	10
11	740	10
12	744	10
13	699	10

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	80	10
5	138	10
6	302	10
7	420	10
8	581	10
9	647	10
10	718	10
11	740	10
12	744	10
13	699	10

Details

analyze414.0ms (19.1%)

sample1.2s (55.8%)

simplify32.0ms (1.5%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

series24.0ms (1.1%)

rewrite14.0ms (0.6%)

simplify102.0ms (4.7%)

prune37.0ms (1.7%)

localize7.0ms (0.3%)

series26.0ms (1.2%)

rewrite13.0ms (0.6%)

simplify96.0ms (4.4%)

prune94.0ms (4.3%)

regimes54.0ms (2.5%)

simplify2.0ms (0.1%)

end37.0ms (1.7%)

Profiling

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	80	10
5	138	10
6	302	10
7	420	10
8	581	10
9	647	10
10	718	10
11	740	10
12	744	10
13	699	10