Details

analyze727.0ms (16.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.1s (25.2%)

Results

909.0ms	8256×	body	128	valid
70.0ms	650×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify112.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1630×	`fma-neg_binary64`
896×	`div-sub_binary64`
582×	`times-frac_binary64`
579×	`fma-def_binary64`
367×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	34	13
3	74	13
4	145	13
5	245	13
6	572	13
7	1407	13
8	2937	13
9	2993	13
10	3292	13
11	3338	13
12	3355	13
13	3404	13
14	4948	13

prune2.0ms (0%)

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

11.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	11.2b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

Compiler

Compiled 39 to 24 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.6b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

series32.0ms (0.7%)

Counts

1 → 48

Calls

1 calls:

32.0ms

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

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`associate-/r*_binary64`

Counts

1 → 31

Calls

1 calls:

7.0ms

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

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

891×	`times-frac_binary64`
570×	`fma-neg_binary64`
524×	`fma-def_binary64`
302×	`cancel-sign-sub-inv_binary64`
241×	`distribute-rgt-in_binary64`

Counts

79 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	2085
1	453	1950
2	1727	1787
3	4628	1785
4	5043	1785

prune69.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	6	80

Error

0.0b

Counts

80 → 6

Alt Table

Status	Error	Program
	11.6b	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
	11.2b	(-.f64 (/.f64 (.f64 y x) (-.f64 t z)) (/.f64 (.f64 z x) (-.f64 t z)))
▶	2.3b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	12.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x (-.f64 y z)) (-.f64 t z))) (cbrt.f64 (/.f64 (.f64 x (-.f64 y z)) (-.f64 t z)))) (cbrt.f64 (/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))))
	36.4b	(/.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 t z))) (-.f64 y z)) (sqrt.f64 (-.f64 t z)))
	2.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 2014 to 668 computations (66.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
✓	2.2b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

series50.0ms (1.2%)

Counts

2 → 84

Calls

2 calls:

31.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
19.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`

Counts

2 → 106

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
8.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-def_binary64`
511×	`cancel-sign-sub-inv_binary64`
372×	`sub-neg_binary64`
220×	`fma-neg_binary64`
164×	`associate-/l*_binary64`

Counts

190 → 181

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	4489
1	786	4288
2	2972	4076
3	5031	4076

prune101.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	181	6	187

Error

Counts

187 → 6

Alt Table

Status	Error	Program
▶	2.5b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 (-.f64 t z))))
	11.6b	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
	11.2b	(-.f64 (/.f64 (.f64 y x) (-.f64 t z)) (/.f64 (.f64 z x) (-.f64 t z)))
✓	2.3b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	8.5b	(.f64 (.f64 x (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))) (/.f64 (cbrt.f64 (-.f64 y z)) (-.f64 t z)))
	2.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 4243 to 1250 computations (70.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 t z))
✓	0.2b	(*.f64 (-.f64 y z) (/.f64 1 (-.f64 t z)))
✓	2.2b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 (-.f64 t z))))

series64.0ms (1.5%)

Counts

3 → 108

Calls

3 calls:

31.0ms	(.f64 x (.f64 (-.f64 y z) (/.f64 1 (-.f64 t z))))
21.0ms	(*.f64 (-.f64 y z) (/.f64 1 (-.f64 t z)))
11.0ms	(/.f64 1 (-.f64 t z))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
31×	`add-exp-log_binary64`
24×	`add-cube-cbrt_binary64`

Counts

3 → 125

Calls

3 calls:

11.0ms	(*.f64 (-.f64 y z) (/.f64 1 (-.f64 t z)))
9.0ms	(.f64 x (.f64 (-.f64 y z) (/.f64 1 (-.f64 t z))))
8.0ms	(/.f64 1 (-.f64 t z))

simplify104.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

753×	`times-frac_binary64`
513×	`cancel-sign-sub-inv_binary64`
372×	`sub-neg_binary64`
221×	`fma-neg_binary64`
160×	`associate-l_binary64`

Counts

233 → 244

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	4914
1	792	4536
2	2901	4482
3	5046	4482

prune140.0ms (3.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	244	6	250

Error

Counts

250 → 6

Alt Table

Status	Error	Program
✓	2.5b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 (-.f64 t z))))
	11.6b	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
	11.2b	(-.f64 (/.f64 (.f64 y x) (-.f64 t z)) (/.f64 (.f64 z x) (-.f64 t z)))
✓	2.3b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	8.5b	(.f64 (.f64 x (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))) (/.f64 (cbrt.f64 (-.f64 y z)) (-.f64 t z)))
▶	2.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 5476 to 2105 computations (61.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
✓	2.6b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

series51.0ms (1.2%)

Counts

2 → 84

Calls

2 calls:

32.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
19.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64`
194×	`add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`distribute-lft-out--_binary64`

Counts

2 → 198

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
6.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

simplify171.0ms (4%)

Algorithm

1×	egg-herbie

Rules

562×	`cancel-sign-sub-inv_binary64`
374×	`sub-neg_binary64`
271×	`associate-/r/_binary64`
224×	`fma-neg_binary64`
198×	`associate-/l/_binary64`

Counts

282 → 300

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	7629
1	1057	7410
2	3983	7368
3	5298	7368

prune341.0ms (7.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	299	1	300
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	300	6	306

Error

Counts

306 → 6

Alt Table

Status	Error	Program
✓	2.5b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 (-.f64 t z))))
	11.2b	(-.f64 (/.f64 (.f64 y x) (-.f64 t z)) (/.f64 (.f64 z x) (-.f64 t z)))
	10.8b	(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
✓	2.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
✓	2.3b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	8.5b	(.f64 (.f64 x (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))) (/.f64 (cbrt.f64 (-.f64 y z)) (-.f64 t z)))

Compiler

Compiled 7151 to 1648 computations (77% saved)

regimes774.0ms (17.8%)

Accuracy

Total 1.9b remaining (99.4%)

Threshold costs 0b (0%)

Counts

89 → 3

Compiler

Compiled 7850 to 4669 computations (40.5% saved)

bsearch43.0ms (1%)

Steps

Iters	Range		Point
8	9.166307982119456e-183	7.376039195516426e-180	2.295152313413225e-182
9	-1.7434636666822617e-124	-1.946744520634773e-133	-8.064804884425737e-131

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	66
1	32	66
2	37	66
3	39	66
4	40	66
5	39	66

end140.0ms (3.2%)

Compiler: Compiled 193 to 101 computations (47.7% saved)

Details

analyze727.0ms (16.8%)

sample1.1s (25.2%)

simplify112.0ms (2.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series32.0ms (0.7%)

rewrite12.0ms (0.3%)

simplify82.0ms (1.9%)

prune69.0ms (1.6%)

localize6.0ms (0.1%)

series50.0ms (1.2%)

rewrite26.0ms (0.6%)

simplify99.0ms (2.3%)

prune101.0ms (2.3%)

localize7.0ms (0.2%)

series64.0ms (1.5%)

rewrite35.0ms (0.8%)

simplify104.0ms (2.4%)

prune140.0ms (3.2%)

localize6.0ms (0.1%)

series51.0ms (1.2%)

rewrite38.0ms (0.9%)

simplify171.0ms (4%)

prune341.0ms (7.9%)

regimes774.0ms (17.8%)

bsearch43.0ms (1%)

simplify4.0ms (0.1%)

end140.0ms (3.2%)

Profiling