Details

analyze1.1s (24.6%)

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69.4%	3.3%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample30.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	60×	body	128	invalid

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

112×	`distribute-rgt-in_binary64`
90×	`associate-l_binary64`
87×	`associate-r_binary64`
83×	`cancel-sign-sub-inv_binary64`
76×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	19	10
2	41	10
3	87	10
4	140	10
5	194	10
6	279	10
7	406	10
8	573	10
9	512	10
10	501	10
11	501	10
12	438	10

prune6.0ms (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

0.1b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	5.7b	(.f64 y (.f64 t (-.f64 x z)))
	7.2b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

Compiler

Compiled 59 to 37 computations (37.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x z))
5.4b	(.f64 y (.f64 t (-.f64 x z)))

rewrite47.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`distribute-lft-in_binary64`
20×	`distribute-rgt-in_binary64`
18×	`cancel-sign-sub-inv_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`

Counts

2 → 66

Calls

2 calls:

6.0ms	(.f64 y (.f64 t (-.f64 x z)))
5.0ms	(*.f64 t (-.f64 x z))

Compiler

Compiled 868 to 232 computations (73.3% saved)

series54.0ms (1.2%)

Error

0.1b

Counts

2 → 33

Calls

2 calls:

31.0ms	(.f64 y (.f64 t (-.f64 x z)))
16.0ms	(*.f64 t (-.f64 x z))

Compiler

Compiled 737 to 444 computations (39.8% saved)

simplify117.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

394×	`exp-prod_binary64`
387×	`distribute-rgt-in_binary64`
381×	`distribute-lft-in_binary64`
361×	`unsub-neg_binary64`
348×	`*-commutative_binary64`

Counts

99 → 78

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	1142
1	276	1049
2	899	1049
3	2591	1049
4	4361	1049
5	4957	1049
6	4934	1049

prune19.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	8	80

Error

0.0b

Counts

80 → 8

Alt Table

Status	Error	Program
	20.8b	(.f64 y (.f64 (sqrt.f64 t) (*.f64 (-.f64 x z) (sqrt.f64 t))))
✓	5.7b	(.f64 y (.f64 t (-.f64 x z)))
	6.7b	(.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (-.f64 x z) (cbrt.f64 t))))
	7.2b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
	8.1b	(.f64 (.f64 (cbrt.f64 (.f64 t (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 t (.f64 y (-.f64 x z))))) (cbrt.f64 (.f64 t (.f64 y (-.f64 x z)))))
	7.4b	(.f64 (.f64 t y) (-.f64 x z))
	49.1b	(.f64 (sqrt.f64 y) (.f64 t (*.f64 (-.f64 x z) (sqrt.f64 y))))
▶	4.8b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 t (.f64 (-.f64 x z) (cbrt.f64 y))))

Compiler

Compiled 497 to 209 computations (57.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.0b	(.f64 t (.f64 (-.f64 x z) (cbrt.f64 y)))
2.3b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 t (.f64 (-.f64 x z) (cbrt.f64 y))))

rewrite53.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-exp-log_binary64`
30×	`pow1_binary64`
21×	`add-cbrt-cube_binary64`
18×	`cbrt-unprod_binary64`
18×	`prod-exp_binary64`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 t (.f64 (-.f64 x z) (cbrt.f64 y))))
6.0ms	(.f64 t (.f64 (-.f64 x z) (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1380 to 229 computations (83.4% saved)

series146.0ms (3.2%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

77.0ms	(.f64 t (.f64 (-.f64 x z) (cbrt.f64 y)))
37.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 t (.f64 (-.f64 x z) (cbrt.f64 y))))
12.0ms	(cbrt.f64 y)
12.0ms	(cbrt.f64 y)

Compiler

Compiled 1535 to 941 computations (38.7% saved)

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

661×	`distribute-rgt-in_binary64`
656×	`distribute-lft-in_binary64`
275×	`associate-r_binary64`
263×	`associate-l_binary64`
121×	`*-commutative_binary64`

Counts

114 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1764
1	331	1178
2	1317	1168
3	5040	1168

prune21.0ms (0.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	9	94

Error

0.0b

Counts

94 → 9

Alt Table

Status	Error	Program
	20.8b	(.f64 y (.f64 (sqrt.f64 t) (*.f64 (-.f64 x z) (sqrt.f64 t))))
✓	5.7b	(.f64 y (.f64 t (-.f64 x z)))
	6.7b	(.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (-.f64 x z) (cbrt.f64 t))))
	7.2b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
	8.1b	(.f64 (.f64 (cbrt.f64 (.f64 t (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 t (.f64 y (-.f64 x z))))) (cbrt.f64 (.f64 t (.f64 y (-.f64 x z)))))
▶	5.1b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 t))))
	7.4b	(.f64 (.f64 t y) (-.f64 x z))
	49.1b	(.f64 (sqrt.f64 y) (.f64 t (*.f64 (-.f64 x z) (sqrt.f64 y))))
✓	4.8b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 t (.f64 (-.f64 x z) (cbrt.f64 y))))

Compiler

Compiled 773 to 296 computations (61.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 t)
0.7b	(cbrt.f64 t)
1.8b	(.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 t))
2.3b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 t))))

rewrite75.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

74×	`add-exp-log_binary64`
74×	`pow1_binary64`
54×	`cbrt-unprod_binary64`
54×	`prod-exp_binary64`
54×	`pow-prod-down_binary64`

Counts

4 → 99

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 t))))
7.0ms	(.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 t))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 2578 to 339 computations (86.9% saved)

series166.0ms (3.6%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

77.0ms	(.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 t))
49.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 t))))
14.0ms	(cbrt.f64 t)
12.0ms	(cbrt.f64 t)

Compiler

Compiled 1999 to 1166 computations (41.7% saved)

simplify140.0ms (3%)

Algorithm

1×	egg-herbie

Rules

404×	`associate-r_binary64`
396×	`associate-l_binary64`
324×	`distribute-rgt-in_binary64`
319×	`distribute-lft-in_binary64`
246×	`log-prod_binary64`

Counts

141 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	3789
1	492	2129
2	1765	2086
3	4333	2050
4	4850	2050
5	4958	2050

prune31.0ms (0.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	119	9	128

Error

0.0b

Counts

128 → 9

Alt Table

Status	Error	Program
	20.8b	(.f64 y (.f64 (sqrt.f64 t) (*.f64 (-.f64 x z) (sqrt.f64 t))))
✓	5.7b	(.f64 y (.f64 t (-.f64 x z)))
▶	6.7b	(.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (-.f64 x z) (cbrt.f64 t))))
	7.2b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
	8.1b	(.f64 (.f64 (cbrt.f64 (.f64 t (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 t (.f64 y (-.f64 x z))))) (cbrt.f64 (.f64 t (.f64 y (-.f64 x z)))))
✓	5.1b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 t))))
	7.4b	(.f64 (.f64 t y) (-.f64 x z))
	49.1b	(.f64 (sqrt.f64 y) (.f64 t (*.f64 (-.f64 x z) (sqrt.f64 y))))
✓	4.8b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 t (.f64 (-.f64 x z) (cbrt.f64 y))))

Compiler

Compiled 1087 to 331 computations (69.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 t)
0.7b	(cbrt.f64 t)
0.7b	(cbrt.f64 t)
5.4b	(.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (-.f64 x z) (cbrt.f64 t))))

rewrite43.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64`
22×	`pow1_binary64`
16×	`add-cbrt-cube_binary64`
13×	`cbrt-unprod_binary64`
13×	`prod-exp_binary64`

Counts

4 → 62

Calls

4 calls:

13.0ms	(.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (-.f64 x z) (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 1186 to 245 computations (79.3% saved)

series84.0ms (1.8%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

41.0ms	(.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (-.f64 x z) (cbrt.f64 t))))
13.0ms	(cbrt.f64 t)
12.0ms	(cbrt.f64 t)
11.0ms	(cbrt.f64 t)

Compiler

Compiled 937 to 575 computations (38.6% saved)

simplify118.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

493×	`*-commutative_binary64`
415×	`distribute-rgt-in_binary64`
414×	`distribute-lft-in_binary64`
349×	`distribute-rgt-neg-out_binary64`
332×	`unswap-sqr_binary64`

Counts

89 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1230
1	283	752
2	1034	746
3	3071	746
4	5033	746

prune19.0ms (0.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	65	9	74

Error

0.0b

Counts

74 → 9

Alt Table

Status	Error	Program
	20.8b	(.f64 y (.f64 (sqrt.f64 t) (*.f64 (-.f64 x z) (sqrt.f64 t))))
	5.7b	(.f64 y (.f64 t (-.f64 x z)))
	6.7b	(.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (-.f64 x z) (cbrt.f64 t))))
	7.2b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
	8.1b	(.f64 (.f64 (cbrt.f64 (.f64 t (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 t (.f64 y (-.f64 x z))))) (cbrt.f64 (.f64 t (.f64 y (-.f64 x z)))))
	5.1b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 t))))
	7.4b	(.f64 (.f64 t y) (-.f64 x z))
	49.1b	(.f64 (sqrt.f64 y) (.f64 t (*.f64 (-.f64 x z) (sqrt.f64 y))))
	4.8b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 t (.f64 (-.f64 x z) (cbrt.f64 y))))

Compiler

Compiled 575 to 227 computations (60.5% saved)

regimes995.0ms (21.5%)

Accuracy

Total 0.3b remaining (92.2%)

Threshold costs 0.3b (92.2%)

Compiler

Compiled 9394 to 5222 computations (44.4% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	113
1	44	113
2	55	113
3	61	113
4	65	113
5	66	113
6	66	113

end7.0ms (0.2%)

Compiler: Compiled 243 to 81 computations (66.7% saved)

sample1.2s (25.5%)

Algorithm

1×

intervals

Results

336.0ms	8000×	body	128	valid
109.0ms	1917×	body	128	invalid

Compiler

Compiled 255 to 123 computations (51.8% saved)

Iter	Nodes	Cost
0	9	10
1	19	10
2	41	10
3	87	10
4	140	10
5	194	10
6	279	10
7	406	10
8	573	10
9	512	10
10	501	10
11	501	10
12	438	10

Iter	Nodes	Cost
0	9	10
1	19	10
2	41	10
3	87	10
4	140	10
5	194	10
6	279	10
7	406	10
8	573	10
9	512	10
10	501	10
11	501	10
12	438	10

Details

analyze1.1s (24.6%)

sample30.0ms (0.7%)

simplify30.0ms (0.6%)

prune6.0ms (0.1%)

localize5.0ms (0.1%)

rewrite47.0ms (1%)

series54.0ms (1.2%)

simplify117.0ms (2.5%)

prune19.0ms (0.4%)

localize10.0ms (0.2%)

rewrite53.0ms (1.2%)

series146.0ms (3.2%)

simplify57.0ms (1.2%)

prune21.0ms (0.5%)

localize14.0ms (0.3%)

rewrite75.0ms (1.6%)

series166.0ms (3.6%)

simplify140.0ms (3%)

prune31.0ms (0.7%)

localize10.0ms (0.2%)

rewrite43.0ms (0.9%)

series84.0ms (1.8%)

simplify118.0ms (2.5%)

prune19.0ms (0.4%)

regimes995.0ms (21.5%)

bsearch3.0ms (0.1%)

simplify8.0ms (0.2%)

end7.0ms (0.2%)

sample1.2s (25.5%)

Profiling

Iter	Nodes	Cost
0	9	10
1	19	10
2	41	10
3	87	10
4	140	10
5	194	10
6	279	10
7	406	10
8	573	10
9	512	10
10	501	10
11	501	10
12	438	10