Details

analyze240.0ms (7.2%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample28.0ms (0.8%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify75.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

705×	`unsub-neg_binary64`
556×	`cancel-sign-sub-inv_binary64`
344×	`+-commutative_binary64`
342×	`distribute-rgt-in_binary64`
317×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	43
1	55	43
2	150	43
3	389	43
4	1083	43
5	2233	43
6	4336	43
7	4724	43
8	4930	43

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 93 to 57 computations (38.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.8b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite145.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64`
15×	`pow1_binary64`
14×	`add-cbrt-cube_binary64`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (-.f64 1 a))
10.0ms	(.f64 (.f64 b b) (+.f64 3 a))
6.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
4.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3141 to 1575 computations (49.9% saved)

series155.0ms (4.7%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

62.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
36.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
17.0ms	(.f64 (.f64 b b) (+.f64 3 a))
11.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2922 to 2144 computations (26.6% saved)

simplify102.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

482×	`associate-+l+_binary64`
417×	`unsub-neg_binary64`
292×	`associate-+r+_binary64`
267×	`associate-l_binary64`
226×	`exp-prod_binary64`

Counts

140 → 113

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2919
1	566	2610
2	1845	2508
3	4141	2502
4	5064	2502

prune78.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	3	114

Error

0.0b

Counts

114 → 3

Alt Table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	0.5b	(-.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))) (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	0.0b	(-.f64 (+.f64 (+.f64 (+.f64 (pow.f64 b 4) (.f64 2 (.f64 a (.f64 a (.f64 b b))))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 2395 to 1259 computations (47.4% saved)

localize24.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(.f64 a (.f64 a (*.f64 b b)))
0.7b	(.f64 a (.f64 b b))
0.8b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite143.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-cbrt-cube_binary64`
28×	`add-exp-log_binary64`
28×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`

Counts

4 → 96

Calls

4 calls:

7.0ms	(.f64 (.f64 a a) (-.f64 1 a))
7.0ms	(.f64 (.f64 b b) (+.f64 3 a))
6.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 3669 to 1977 computations (46.1% saved)

series78.0ms (2.3%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

19.0ms	(.f64 (.f64 b b) (+.f64 3 a))
18.0ms	(.f64 a (.f64 b b))
16.0ms	(.f64 a (.f64 a (*.f64 b b)))
12.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2168 to 1529 computations (29.5% saved)

simplify89.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

415×	`distribute-rgt-in_binary64`
398×	`distribute-lft-in_binary64`
318×	`associate-l_binary64`
272×	`exp-prod_binary64`
264×	`associate-r_binary64`

Counts

122 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	1511
1	391	1260
2	1325	1237
3	3309	1215
4	4571	1215
5	4940	1215

prune61.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Error

0.0b

Counts

95 → 3

Alt Table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	0.5b	(-.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))) (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
✓	0.0b	(-.f64 (+.f64 (+.f64 (+.f64 (pow.f64 b 4) (.f64 2 (.f64 a (.f64 a (.f64 b b))))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 1937 to 1098 computations (43.3% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 b b) (+.f64 3 a))
20.2b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
20.2b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
20.2b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite126.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`unpow-prod-down_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
4.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
4.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

Compiler

Compiled 4258 to 1912 computations (55.1% saved)

series227.0ms (6.9%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

65.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
58.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
58.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
20.0ms	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 6074 to 3838 computations (36.8% saved)

simplify154.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

432×	`unswap-sqr_binary64`
301×	`distribute-rgt-in_binary64`
298×	`distribute-lft-in_binary64`
255×	`associate-/l/_binary64`
232×	`*-commutative_binary64`

Counts

125 → 113

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	2522
1	262	2309
2	770	2309
3	1820	2309
4	3491	2309
5	4672	2309
6	4874	2309
7	4960	2309

prune78.0ms (2.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Error

0.0b

Counts

116 → 3

Alt Table

Status	Error	Program
	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	0.5b	(-.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))) (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	0.0b	(-.f64 (+.f64 (+.f64 (+.f64 (pow.f64 b 4) (.f64 2 (.f64 a (.f64 a (.f64 b b))))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 3182 to 1511 computations (52.5% saved)

regimes475.0ms (14.3%)

Accuracy

Total 0.0b remaining (70.3%)

Threshold costs 0.0b (70.3%)

Compiler

Compiled 12422 to 7958 computations (35.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`*-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	23	52
1	40	52
2	44	52
3	46	52
4	47	52
5	45	52

end1.0ms (0%)

Compiler: Compiled 37 to 25 computations (32.4% saved)

sample998.0ms (30.1%)

Algorithm

1×

intervals

Results

673.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 195 to 120 computations (38.5% saved)

Details

analyze240.0ms (7.2%)

sample28.0ms (0.8%)

simplify75.0ms (2.3%)

prune2.0ms (0.1%)

localize14.0ms (0.4%)

rewrite145.0ms (4.4%)

series155.0ms (4.7%)

simplify102.0ms (3.1%)

prune78.0ms (2.4%)

localize24.0ms (0.7%)

rewrite143.0ms (4.3%)

series78.0ms (2.3%)

simplify89.0ms (2.7%)

prune61.0ms (1.8%)

localize19.0ms (0.6%)

rewrite126.0ms (3.8%)

series227.0ms (6.9%)

simplify154.0ms (4.6%)

prune78.0ms (2.4%)

regimes475.0ms (14.3%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample998.0ms (30.1%)

Profiling