Details

analyze761.0ms (18.4%)

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample30.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify119.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1226×	`div-sub_binary64`
778×	`fma-def_binary64`
701×	`unsub-neg_binary64`
456×	`sub-neg_binary64`
437×	`fma-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	22	16
2	50	16
3	121	16
4	299	16
5	674	16
6	1361	16
7	2742	16
8	3706	16
9	3871	16
10	4083	16
11	4304	16
12	4387	16
13	5424	16

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

1.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	1.2b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

Compiler

Compiled 45 to 30 computations (33.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
✓	6.8b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series142.0ms (3.4%)

Counts

2 → 84

Calls

2 calls:

132.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
9.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 89

Calls

2 calls:

8.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
7.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify98.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac_binary64`
589×	`associate-/l*_binary64`
505×	`associate-/r*_binary64`
195×	`fma-def_binary64`
134×	`*-commutative_binary64`

Counts

173 → 187

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	444	5989
1	1376	5678
2	5010	5678

prune152.0ms (3.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	185	3	188

Error

0.0b

Counts

188 → 3

Alt Table

Status	Error	Program
	2.1b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
▶	1.2b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y t) (-.f64 y z))))
	2.0b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))

Compiler

Compiled 6323 to 2577 computations (59.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y t) (-.f64 y z))
✓	6.8b	(/.f64 x (*.f64 (-.f64 y t) (-.f64 y z)))

series137.0ms (3.3%)

Counts

2 → 80

Calls

2 calls:

128.0ms	(/.f64 x (*.f64 (-.f64 y t) (-.f64 y z)))
9.0ms	(*.f64 (-.f64 y t) (-.f64 y z))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 89

Calls

2 calls:

13.0ms	(*.f64 (-.f64 y t) (-.f64 y z))
7.0ms	(/.f64 x (*.f64 (-.f64 y t) (-.f64 y z)))

simplify97.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

689×	`times-frac_binary64`
554×	`associate-/l*_binary64`
496×	`associate-/r*_binary64`
200×	`fma-def_binary64`
133×	`*-commutative_binary64`

Counts

169 → 186

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	442	5937
1	1377	5626
2	5058	5626

prune134.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	186	3	189

Error

0.0b

Counts

189 → 3

Alt Table

Status	Error	Program
▶	2.0b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))
✓	1.2b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y t) (-.f64 y z))))
	2.0b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))

Compiler

Compiled 6293 to 2561 computations (59.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 y t))
✓	3.5b	(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))

series148.0ms (3.6%)

Counts

2 → 72

Calls

2 calls:

131.0ms	(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))
17.0ms	(/.f64 x (-.f64 y t))

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64`
176×	`*-un-lft-identity_binary64`
176×	`add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
44×	`distribute-lft-out--_binary64`

Counts

2 → 189

Calls

2 calls:

11.0ms	(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))
4.0ms	(/.f64 x (-.f64 y t))

simplify144.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

699×	`times-frac_binary64`
581×	`associate-/l*_binary64`
538×	`associate-/r*_binary64`
308×	`associate-/l/_binary64`
166×	`fma-def_binary64`

Counts

261 → 261

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	549	9298
1	1713	9038
2	5407	9038

prune176.0ms (4.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	260	4	264

Error

Counts

264 → 4

Alt Table

Status	Error	Program
	2.3b	(-.f64 1 (/.f64 (/.f64 (/.f64 x (-.f64 y t)) (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))) (cbrt.f64 (-.f64 y z))))
✓	2.0b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))
✓	1.2b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y t) (-.f64 y z))))
▶	2.0b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))

Compiler

Compiled 8388 to 2961 computations (64.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 y z))
✓	2.9b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

series154.0ms (3.7%)

Counts

2 → 72

Calls

2 calls:

137.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
17.0ms	(/.f64 x (-.f64 y z))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64`
176×	`*-un-lft-identity_binary64`
176×	`add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
44×	`distribute-lft-out--_binary64`

Counts

2 → 189

Calls

2 calls:

9.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
4.0ms	(/.f64 x (-.f64 y z))

simplify146.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

709×	`times-frac_binary64`
587×	`associate-/l*_binary64`
544×	`associate-/r*_binary64`
305×	`associate-/l/_binary64`
166×	`fma-def_binary64`

Counts

261 → 260

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	9298
1	1717	9038
2	5431	9038

prune189.0ms (4.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	260	4	264

Error

Counts

264 → 4

Alt Table

Status	Error	Program
	2.3b	(-.f64 1 (/.f64 (/.f64 (/.f64 x (-.f64 y t)) (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))) (cbrt.f64 (-.f64 y z))))
✓	2.0b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))
✓	1.2b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y t) (-.f64 y z))))
✓	2.0b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))

Compiler

Compiled 8336 to 2934 computations (64.8% saved)

regimes346.0ms (8.3%)

Accuracy

Total 0.3b remaining (95.4%)

Threshold costs 0.3b (95.4%)

Counts

44 → 2

Compiler

Compiled 5921 to 3631 computations (38.7% saved)

bsearch9.0ms (0.2%)

Steps

Iters	Range		Point
3	-2.0835481266897448e+95	-1.0512223684065256e+91	-5.9303573156645634e+94

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`distribute-rgt-neg-in_binary64`
13×	`cancel-sign-sub-inv_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	36	35
2	58	35
3	85	35
4	104	35
5	109	35
6	117	35
7	126	35
8	128	35
9	124	35

end7.0ms (0.2%)

Compiler: Compiled 84 to 51 computations (39.3% saved)

sample994.0ms (24%)

Algorithm

1×

intervals

Results

373.0ms	8000×	body	128	valid
16.0ms	368×	body	128	invalid

Compiler

Compiled 119 to 75 computations (37% saved)

Details

analyze761.0ms (18.4%)

sample30.0ms (0.7%)

simplify119.0ms (2.9%)

prune2.0ms (0%)

localize7.0ms (0.2%)

series142.0ms (3.4%)

rewrite23.0ms (0.5%)

simplify98.0ms (2.4%)

prune152.0ms (3.7%)

localize7.0ms (0.2%)

series137.0ms (3.3%)

rewrite26.0ms (0.6%)

simplify97.0ms (2.3%)

prune134.0ms (3.2%)

localize7.0ms (0.2%)

series148.0ms (3.6%)

rewrite39.0ms (1%)

simplify144.0ms (3.5%)

prune176.0ms (4.2%)

localize7.0ms (0.2%)

series154.0ms (3.7%)

rewrite38.0ms (0.9%)

simplify146.0ms (3.5%)

prune189.0ms (4.6%)

regimes346.0ms (8.3%)

bsearch9.0ms (0.2%)

simplify5.0ms (0.1%)

end7.0ms (0.2%)

sample994.0ms (24%)

Profiling