Details

analyze746.0ms (9.4%)

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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample109.0ms (1.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1536×	`fma-neg_binary64`
909×	`div-sub_binary64`
615×	`times-frac_binary64`
547×	`fma-def_binary64`
362×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	18	13
2	29	13
3	67	13
4	136	13
5	250	13
6	551	13
7	1395	13
8	2791	13
9	2886	13
10	3210	13
11	3295	13
12	3304	13
13	3354	13
14	4929	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

2.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	2.2b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

Compiler

Compiled 39 to 24 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
✓	2.1b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

series53.0ms (0.7%)

Counts

2 → 84

Calls

2 calls:

33.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
20.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`

Counts

2 → 106

Calls

2 calls:

10.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
6.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

simplify133.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

951×	`fma-def_binary64`
905×	`times-frac_binary64`
465×	`fma-neg_binary64`
154×	`associate-/l*_binary64`
144×	`+-commutative_binary64`

Counts

190 → 193

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	4749
1	800	4617
2	2672	4102
3	4971	4102
4	5241	4102

prune151.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	186	7	193
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	187	7	194

Error

Counts

194 → 7

Alt Table

Status	Error	Program
	15.5b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)) t)
	3.2b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)) (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t))) (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)))
▶	2.4b	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)
	34.5b	(*.f64 (fma.f64 (/.f64 x z) (/.f64 y z) (/.f64 (-.f64 x y) z)) t)
	12.1b	(.f64 (-.f64 x y) (.f64 (/.f64 1 (-.f64 z y)) t))
	9.5b	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))
	38.7b	(-.f64 (fma.f64 (/.f64 t y) z (fma.f64 (/.f64 t y) (/.f64 (.f64 z z) y) t)) (fma.f64 (/.f64 t y) x (fma.f64 (/.f64 (.f64 t z) y) (/.f64 x y) (/.f64 (.f64 t (.f64 z (*.f64 z x))) (pow.f64 y 3)))))

Compiler

Compiled 4697 to 1355 computations (71.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
✓	0.4b	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
✓	2.1b	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)

series73.0ms (0.9%)

Counts

3 → 120

Calls

3 calls:

33.0ms	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)
20.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
20.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

rewrite81.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64`
335×	`add-sqr-sqrt_binary64`
323×	`*-un-lft-identity_binary64`
157×	`add-cube-cbrt_binary64`
98×	`associate-l_binary64`

Counts

3 → 332

Calls

3 calls:

19.0ms	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)
13.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
6.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

simplify207.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

543×	`sub-neg_binary64`
246×	`associate-/l*_binary64`
241×	`fma-neg_binary64`
211×	`+-commutative_binary64`
210×	`associate--l+_binary64`

Counts

452 → 498

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	10707
1	1107	10159
2	4250	9700
3	5224	9700

prune326.0ms (4.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	497	1	498
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	499	6	505

Error

Counts

505 → 6

Alt Table

Status	Error	Program
▶	3.2b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)) (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t))) (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)))
	9.6b	(.f64 (/.f64 1 (-.f64 z y)) (.f64 (/.f64 1 (/.f64 1 (-.f64 x y))) t))
	15.5b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)) t)
	34.5b	(*.f64 (fma.f64 (/.f64 x z) (/.f64 y z) (/.f64 (-.f64 x y) z)) t)
	12.1b	(.f64 (-.f64 x y) (.f64 (/.f64 1 (-.f64 z y)) t))
	9.5b	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))

Compiler

Compiled 12556 to 4032 computations (67.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)) (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t))) (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)))
✓	0.4b	(.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)) (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)))
	2.1b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
✓	4.6b	(cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t))

series1.8s (22.1%)

Counts

3 → 144

Calls

3 calls:

1.2s

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

525.0ms

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

65.0ms

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

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
23×	`associate-*l/_binary64`
17×	`cbrt-div_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`

Counts

3 → 90

Calls

3 calls:

7.0ms

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

6.0ms

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

4.0ms

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

simplify263.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

528×	`*-commutative_binary64`
269×	`+-commutative_binary64`
216×	`associate-r_binary64`
216×	`fma-def_binary64`
198×	`sub-neg_binary64`

Counts

234 → 295

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1287	18350
1	4668	18010
2	5098	18010

prune803.0ms (10.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	790	0	790
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	790	6	796

Error

Counts

796 → 6

Alt Table

Status	Error	Program
✓	3.2b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)) (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t))) (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)))
	9.6b	(.f64 (/.f64 1 (-.f64 z y)) (.f64 (/.f64 1 (/.f64 1 (-.f64 x y))) t))
	15.5b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)) t)
	34.5b	(*.f64 (fma.f64 (/.f64 x z) (/.f64 y z) (/.f64 (-.f64 x y) z)) t)
	12.1b	(.f64 (-.f64 x y) (.f64 (/.f64 1 (-.f64 z y)) t))
▶	9.5b	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))

Compiler

Compiled 58527 to 21674 computations (63% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 t (-.f64 x y))
✓	8.9b	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))

series39.0ms (0.5%)

Counts

2 → 72

Calls

2 calls:

32.0ms	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))
6.0ms	(*.f64 t (-.f64 x y))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 81

Calls

2 calls:

9.0ms	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))
5.0ms	(*.f64 t (-.f64 x y))

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

531×	`cancel-sign-sub-inv_binary64`
436×	`fma-neg_binary64`
321×	`distribute-rgt-in_binary64`
237×	`associate-/l*_binary64`
206×	`sub-neg_binary64`

Counts

153 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	2879
1	591	2732
2	2652	2354
3	4606	2351
4	4987	2351
5	4926	2351

prune102.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	137	5	142

Error

Counts

142 → 5

Alt Table

Status	Error	Program
✓	3.2b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)) (cbrt.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t))) (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)))
	9.6b	(.f64 (/.f64 1 (-.f64 z y)) (.f64 (/.f64 1 (/.f64 1 (-.f64 x y))) t))
	15.5b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)) t)
	34.5b	(*.f64 (fma.f64 (/.f64 x z) (/.f64 y z) (/.f64 (-.f64 x y) z)) t)
	12.0b	(*.f64 (/.f64 t (-.f64 z y)) (-.f64 x y))

Compiler

Compiled 2997 to 874 computations (70.8% saved)

regimes2.1s (26%)

Accuracy

Total 1.0b remaining (95.9%)

Threshold costs 0b (0%)

Counts

296 → 1

Compiler

Compiled 41524 to 23781 computations (42.7% saved)

simplify3.0ms (0%)

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	15	49
1	20	49
2	26	49
3	28	49
4	29	49
5	29	49

end1.0ms (0%)

Compiler: Compiled 35 to 14 computations (60% saved)

sample703.0ms (8.8%)

Algorithm

1×

intervals

Results

320.0ms	8000×	body	128	valid
22.0ms	599×	body	128	invalid

Compiler

Compiled 155 to 81 computations (47.7% saved)

Details

analyze746.0ms (9.4%)

sample109.0ms (1.4%)

simplify113.0ms (1.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series53.0ms (0.7%)

rewrite27.0ms (0.3%)

simplify133.0ms (1.7%)

prune151.0ms (1.9%)

localize7.0ms (0.1%)

series73.0ms (0.9%)

rewrite81.0ms (1%)

simplify207.0ms (2.6%)

prune326.0ms (4.1%)

localize11.0ms (0.1%)

series1.8s (22.1%)

rewrite26.0ms (0.3%)

simplify263.0ms (3.3%)

prune803.0ms (10.1%)

localize6.0ms (0.1%)

series39.0ms (0.5%)

rewrite19.0ms (0.2%)

simplify118.0ms (1.5%)

prune102.0ms (1.3%)

regimes2.1s (26%)

simplify3.0ms (0%)

end1.0ms (0%)

sample703.0ms (8.8%)

Profiling