Details

analyze453.0ms (6.2%)

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)

sample75.0ms (1%)

Algorithm

1×

intervals

Results

60.0ms

256×

body

128

valid

Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify90.0ms (1.2%)

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

prune5.0ms (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)

localize29.0ms (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)
0.6b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite284.0ms (3.9%)

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:

16.0ms	(+.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)))))
15.0ms	(.f64 (.f64 a a) (-.f64 1 a))
13.0ms	(.f64 (.f64 b b) (+.f64 3 a))
7.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3141 to 1575 computations (49.9% saved)

series352.0ms (4.8%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

143.0ms	(+.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)))))
77.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
37.0ms	(.f64 (.f64 b b) (+.f64 3 a))
34.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2957 to 2168 computations (26.7% saved)

simplify192.0ms (2.6%)

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

141 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2929
1	566	2620
2	1845	2518
3	4141	2512
4	5064	2512

prune158.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	3	115

Error

Counts

115 → 3

Alt Table

Status	Error	Program
	0.6b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4) (pow.f64 (cbrt.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)
	2.9b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (/.f64 (.f64 a (-.f64 a (pow.f64 a 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 a a) (.f64 1 a)))) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 2428 to 1286 computations (47% saved)

localize42.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.5b	(.f64 a (.f64 b b))
0.6b	(.f64 (.f64 b b) (+.f64 3 a))
0.9b	(.f64 a (.f64 a (*.f64 b b)))

rewrite292.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

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:

14.0ms	(.f64 (.f64 a a) (-.f64 1 a))
14.0ms	(.f64 (.f64 b b) (+.f64 3 a))
12.0ms	(.f64 a (.f64 a (*.f64 b b)))
9.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 3669 to 1977 computations (46.1% saved)

series160.0ms (2.2%)

Error

Counts

4 → 27

Calls

4 calls:

42.0ms	(.f64 (.f64 b b) (+.f64 3 a))
36.0ms	(.f64 a (.f64 a (*.f64 b b)))
31.0ms	(.f64 a (.f64 b b))
25.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2211 to 1560 computations (29.4% saved)

simplify152.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

415×	`distribute-rgt-in_binary64`
398×	`distribute-lft-in_binary64`
319×	`associate-l_binary64`
272×	`exp-prod_binary64`
267×	`associate-r_binary64`

Counts

123 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	1545
1	391	1294
2	1325	1253
3	3309	1225
4	4572	1225
5	4940	1225

prune149.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	102	3	105

Error

Counts

105 → 3

Alt Table

Status	Error	Program
▶	0.6b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4) (pow.f64 (cbrt.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)
	2.9b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (/.f64 (.f64 a (-.f64 a (pow.f64 a 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 a a) (.f64 1 a)))) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 2270 to 1290 computations (43.2% saved)

localize42.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 b b) (+.f64 3 a))
0.6b	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
10.6b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
10.6b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

rewrite271.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64`
10×	`pow1_binary64`

Counts

4 → 71

Calls

4 calls:

14.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
6.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
5.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 3320 to 1361 computations (59% saved)

series408.0ms (5.6%)

Error

Counts

4 → 45

Calls

4 calls:

176.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
81.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
65.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
43.0ms	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 4253 to 2860 computations (32.8% saved)

simplify255.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

588×	`unswap-sqr_binary64`
322×	`distribute-rgt-in_binary64`
318×	`*-commutative_binary64`
317×	`distribute-lft-in_binary64`
200×	`associate-+l+_binary64`

Counts

116 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1980
1	348	1856
2	1055	1853
3	2374	1848
4	4707	1848
5	4938	1848
6	4929	1848

prune164.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Error

Counts

108 → 3

Alt Table

Status	Error	Program
✓	0.6b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4) (pow.f64 (cbrt.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)
▶	2.9b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (/.f64 (.f64 a (-.f64 a (pow.f64 a 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 a a) (.f64 1 a)))) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 3031 to 1377 computations (54.6% saved)

localize49.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (-.f64 a (pow.f64 a 4)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.6b	(.f64 (.f64 b b) (+.f64 3 a))
2.7b	(/.f64 (.f64 a (-.f64 a (pow.f64 a 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 a a) (.f64 1 a))))

rewrite421.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
17×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
15×	`add-cube-cbrt_binary64`

Counts

4 → 109

Calls

4 calls:

28.0ms	(/.f64 (.f64 a (-.f64 a (pow.f64 a 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 a a) (.f64 1 a))))
16.0ms	(*.f64 a (-.f64 a (pow.f64 a 4)))
14.0ms	(.f64 (.f64 b b) (+.f64 3 a))
10.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 5195 to 2993 computations (42.4% saved)

series241.0ms (3.3%)

Error

Counts

4 → 39

Calls

4 calls:

92.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
43.0ms	(.f64 (.f64 b b) (+.f64 3 a))
33.0ms	(/.f64 (.f64 a (-.f64 a (pow.f64 a 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 a a) (.f64 1 a))))
31.0ms	(*.f64 a (-.f64 a (pow.f64 a 4)))

Compiler

Compiled 3002 to 2090 computations (30.4% saved)

simplify154.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

812×	`distribute-rgt-in_binary64`
753×	`distribute-lft-in_binary64`
244×	`associate-l_binary64`
204×	`associate-r_binary64`
138×	`*-commutative_binary64`

Counts

148 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	2479
1	582	2198
2	2041	2176
3	4997	2176

prune203.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Error

Counts

125 → 3

Alt Table

Status	Error	Program
	0.6b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4) (pow.f64 (cbrt.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)
	2.9b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (/.f64 (.f64 a (-.f64 a (pow.f64 a 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 a a) (.f64 1 a)))) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 3099 to 1688 computations (45.5% saved)

regimes1.4s (19%)

Accuracy

Total 0.0b remaining (37.6%)

Threshold costs 0.0b (37.6%)

Compiler

Compiled 20811 to 13446 computations (35.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-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	24	55
1	42	55
2	46	55
3	48	55
4	49	55
5	47	55

end2.0ms (0%)

Compiler: Compiled 39 to 26 computations (33.3% saved)

sample1.3s (17.5%)

Algorithm

1×

intervals

Results

898.0ms	8000×	body	128	valid
1.0ms	7×	body	128	invalid

Compiler

Compiled 198 to 125 computations (36.9% saved)

Details

analyze453.0ms (6.2%)

sample75.0ms (1%)

simplify90.0ms (1.2%)

prune5.0ms (0.1%)

localize29.0ms (0.4%)

rewrite284.0ms (3.9%)

series352.0ms (4.8%)

simplify192.0ms (2.6%)

prune158.0ms (2.2%)

localize42.0ms (0.6%)

rewrite292.0ms (4%)

series160.0ms (2.2%)

simplify152.0ms (2.1%)

prune149.0ms (2%)

localize42.0ms (0.6%)

rewrite271.0ms (3.7%)

series408.0ms (5.6%)

simplify255.0ms (3.5%)

prune164.0ms (2.2%)

localize49.0ms (0.7%)

rewrite421.0ms (5.7%)

series241.0ms (3.3%)

simplify154.0ms (2.1%)

prune203.0ms (2.8%)

regimes1.4s (19%)

simplify8.0ms (0.1%)

end2.0ms (0%)

sample1.3s (17.5%)

Profiling