Details

analyze73.0ms (3.5%)

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
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
87.4%	12.5%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
93.6%	6.2%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample710.0ms (33.5%)

Results

614.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify129.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1119×	`div-sub_binary64`
816×	`fma-def_binary64`
804×	`fma-neg_binary64`
517×	`neg-mul-1_binary64`
483×	`neg-sub0_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	27	10
3	57	10
4	111	10
5	180	10
6	312	10
7	977	10
8	3166	10
9	3725	10
10	4150	10
11	4786	10
12	4803	10
13	4958	10
14	5387	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

9.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	9.0b	(/.f64 (*.f64 x (-.f64 y z)) y)

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 y z))
✓	9.0b	(/.f64 (*.f64 x (-.f64 y z)) y)

series18.0ms (0.9%)

Counts

2 → 72

Calls

2 calls:

12.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
6.0ms	(*.f64 x (-.f64 y z))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 75

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 y z))
6.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

simplify97.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

419×	`fma-neg_binary64`
321×	`div-sub_binary64`
313×	`associate-*l/_binary64`
290×	`associate-/r*_binary64`
263×	`fma-def_binary64`

Counts

147 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1568
1	298	1439
2	1158	1383
3	3774	1383
4	4927	1383
5	5098	1383

prune55.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Error

0.0b

Counts

109 → 7

Alt Table

Status	Error	Program
✓	9.0b	(/.f64 (*.f64 x (-.f64 y z)) y)
	34.6b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 y z) x) 3)) y)
	9.8b	(/.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))) (cbrt.f64 (-.f64 y z))) y)
▶	3.7b	(/.f64 x (/.f64 y (-.f64 y z)))
	9.1b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
	3.8b	(*.f64 x (/.f64 (-.f64 y z) y))
	34.2b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))

Compiler

Compiled 1805 to 531 computations (70.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 y z))
✓	3.7b	(/.f64 x (/.f64 y (-.f64 y z)))

series22.0ms (1.1%)

Counts

2 → 60

Calls

2 calls:

12.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
10.0ms	(/.f64 y (-.f64 y z))

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64`
102×	`add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`

Counts

2 → 143

Calls

2 calls:

6.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
3.0ms	(/.f64 y (-.f64 y z))

simplify124.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def_binary64`
516×	`associate-/r/_binary64`
497×	`times-frac_binary64`
463×	`associate-/l*_binary64`
459×	`associate-/l/_binary64`

Counts

203 → 210

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	3761
1	540	3647
2	1917	3540
3	4751	3528
4	5354	3528

prune92.0ms (4.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	213	4	217

Error

Counts

217 → 4

Alt Table

Status	Error	Program
	8.3b	(*.f64 (/.f64 x y) (-.f64 y z))
✓	9.0b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	3.8b	(*.f64 x (/.f64 (-.f64 y z) y))
	34.2b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))

Compiler

Compiled 3617 to 837 computations (76.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	3.8b	(*.f64 x (/.f64 (-.f64 y z) y))

series17.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

12.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
6.0ms	(/.f64 (-.f64 y z) y)

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`

Counts

2 → 80

Calls

2 calls:

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

simplify92.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-def_binary64`
513×	`associate-/r/_binary64`
290×	`associate-l_binary64`
276×	`associate-*l/_binary64`
268×	`associate-*r/_binary64`

Counts

140 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1631
1	275	1534
2	871	1532
3	2610	1532
4	4832	1532
5	4977	1532

prune55.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Error

Counts

119 → 4

Alt Table

Status	Error	Program
▶	8.3b	(*.f64 (/.f64 x y) (-.f64 y z))
✓	9.0b	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	3.8b	(*.f64 x (/.f64 (-.f64 y z) y))
	34.2b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))

Compiler

Compiled 1640 to 447 computations (72.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.3b	(*.f64 (/.f64 x y) (-.f64 y z))

series13.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

13.0ms

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

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`associate-l_binary64`

Counts

1 → 66

Calls

1 calls:

8.0ms

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

simplify115.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

911×	`times-frac_binary64`
318×	`associate-/r*_binary64`
313×	`associate-/l*_binary64`
302×	`fma-def_binary64`
274×	`associate-*l/_binary64`

Counts

102 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1410
1	331	1308
2	1050	1254
3	4692	1254
4	5207	1254

prune37.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Error

Counts

98 → 4

Alt Table

Status	Error	Program
✓	8.3b	(*.f64 (/.f64 x y) (-.f64 y z))
✓	9.0b	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	3.8b	(*.f64 x (/.f64 (-.f64 y z) y))
	34.2b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))

Compiler

Compiled 1690 to 402 computations (76.2% saved)

regimes306.0ms (14.4%)

Accuracy

Total 2.5b remaining (99.3%)

Threshold costs 0b (0%)

Counts

45 → 3

Compiler

Compiled 2345 to 1425 computations (39.2% saved)

bsearch18.0ms (0.9%)

Steps

Iters	Range		Point
5	4.945355682228233e+42	1.5977297634254693e+43	1.5110268566885674e+43
6	-2.6320735416671368e+82	-3.0786317457475296e+81	-8.758707385799245e+81

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	34	37
2	48	37
3	57	37
4	63	37
5	65	37
6	65	37

end55.0ms (2.6%)

Compiler: Compiled 100 to 60 computations (40% saved)

Details

analyze73.0ms (3.5%)

sample710.0ms (33.5%)

simplify129.0ms (6.1%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series18.0ms (0.9%)

rewrite17.0ms (0.8%)

simplify97.0ms (4.6%)

prune55.0ms (2.6%)

localize5.0ms (0.2%)

series22.0ms (1.1%)

rewrite21.0ms (1%)

simplify124.0ms (5.9%)

prune92.0ms (4.3%)

localize5.0ms (0.2%)

series17.0ms (0.8%)

rewrite16.0ms (0.8%)

simplify92.0ms (4.3%)

prune55.0ms (2.6%)

localize5.0ms (0.2%)

series13.0ms (0.6%)

rewrite13.0ms (0.6%)

simplify115.0ms (5.4%)

prune37.0ms (1.7%)

regimes306.0ms (14.4%)

bsearch18.0ms (0.9%)

simplify4.0ms (0.2%)

end55.0ms (2.6%)

Profiling