Details

analyze220.0ms (4.8%)

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)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify88.0ms (1.9%)

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

prune3.0ms (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)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.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)
1.2b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite228.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-sqr-sqrt_binary64`
18×	`associate-*r/_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-exp-log_binary64`
17×	`pow1_binary64`

Counts

4 → 100

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3635 to 1878 computations (48.3% saved)

series167.0ms (3.7%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

48.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
46.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
24.0ms	(.f64 (.f64 b b) (+.f64 3 a))
13.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2843 to 1991 computations (30% saved)

simplify144.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

440×	`exp-prod_binary64`
403×	`associate-l_binary64`
324×	`associate-r_binary64`
231×	`associate-+l+_binary64`
222×	`associate-+r+_binary64`

Counts

151 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	2739
1	650	2473
2	2307	2461
3	4234	2454
4	4909	2454
5	5059	2454

prune127.0ms (2.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	3	131

Error

Counts

131 → 3

Alt Table

Status	Error	Program
	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)
	2.1b	(-.f64 (+.f64 (exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	0.0b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 a (.f64 a (.f64 b b)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 2869 to 1519 computations (47.1% saved)

localize24.0ms (0.5%)

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)))
1.1b	(.f64 a (.f64 b b))
1.2b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite195.0ms (4.3%)

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:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 3669 to 1977 computations (46.1% saved)

series102.0ms (2.2%)

Error

Counts

4 → 27

Calls

4 calls:

28.0ms	(.f64 (.f64 b b) (+.f64 3 a))
24.0ms	(.f64 a (.f64 a (*.f64 b b)))
19.0ms	(.f64 a (.f64 b b))
14.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2211 to 1560 computations (29.4% saved)

simplify103.0ms (2.3%)

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

123 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	1521
1	392	1270
2	1326	1247
3	3309	1225
4	4571	1225
5	4940	1225

prune93.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	95	3	98

Error

Counts

98 → 3

Alt Table

Status	Error	Program
▶	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)
	2.1b	(-.f64 (+.f64 (exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
✓	0.0b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 a (.f64 a (.f64 b b)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 2063 to 1176 computations (43% saved)

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (.f64 b b) (+.f64 3 a))
20.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
20.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
20.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite174.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

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:

8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

Compiler

Compiled 4258 to 1912 computations (55.1% saved)

series296.0ms (6.5%)

Error

Counts

4 → 63

Calls

4 calls:

76.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
76.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
72.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
28.0ms	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 6399 to 4051 computations (36.7% saved)

simplify187.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

476×	`unswap-sqr_binary64`
301×	`distribute-rgt-in_binary64`
298×	`distribute-lft-in_binary64`
280×	`associate-/l/_binary64`
256×	`*-commutative_binary64`

Counts

135 → 123

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	3126
1	295	2913
2	861	2913
3	1972	2913
4	3745	2913
5	4756	2913
6	4842	2913
7	4948	2913

prune114.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Error

Counts

126 → 3

Alt Table

Status	Error	Program
✓	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)
▶	2.1b	(-.f64 (+.f64 (exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
✓	0.0b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 a (.f64 a (.f64 b b)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 3472 to 1690 computations (51.3% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
1.2b	(.f64 (.f64 b b) (+.f64 3 a))
3.5b	(exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 b b) (*.f64 a a)))))
10.1b	(log.f64 (+.f64 (.f64 b b) (.f64 a a)))

rewrite164.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 86

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
6.0ms	(log.f64 (+.f64 (.f64 b b) (.f64 a a)))
5.0ms	(exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 b b) (*.f64 a a)))))

Compiler

Compiled 3064 to 1496 computations (51.2% saved)

series158.0ms (3.5%)

Error

Counts

4 → 45

Calls

4 calls:

50.0ms	(exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 b b) (*.f64 a a)))))
33.0ms	(log.f64 (+.f64 (.f64 b b) (.f64 a a)))
24.0ms	(.f64 (.f64 b b) (+.f64 3 a))
14.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3099 to 2209 computations (28.7% saved)

simplify121.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

474×	`distribute-rgt-in_binary64`
443×	`distribute-lft-in_binary64`
411×	`associate-/l*_binary64`
336×	`associate-/r*_binary64`
231×	`associate-l_binary64`

Counts

131 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	2010
1	518	1827
2	1600	1813
3	4891	1813
4	4978	1813
5	4949	1813

prune100.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Error

Counts

109 → 3

Alt Table

Status	Error	Program
	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)
	2.1b	(-.f64 (+.f64 (exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
	0.0b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 a (.f64 a (.f64 b b)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 2386 to 1249 computations (47.7% saved)

regimes795.0ms (17.5%)

Accuracy

Total 0.0b remaining (18.8%)

Threshold costs 0.0b (18.8%)

Compiler

Compiled 18877 to 12067 computations (36.1% saved)

simplify4.0ms (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

end1.0ms (0%)

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

sample840.0ms (18.5%)

Algorithm

1×

intervals

Results

477.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 199 to 123 computations (38.2% saved)

Details

analyze220.0ms (4.8%)

sample24.0ms (0.5%)

simplify88.0ms (1.9%)

prune3.0ms (0.1%)

localize16.0ms (0.3%)

rewrite228.0ms (5%)

series167.0ms (3.7%)

simplify144.0ms (3.2%)

prune127.0ms (2.8%)

localize24.0ms (0.5%)

rewrite195.0ms (4.3%)

series102.0ms (2.2%)

simplify103.0ms (2.3%)

prune93.0ms (2%)

localize26.0ms (0.6%)

rewrite174.0ms (3.8%)

series296.0ms (6.5%)

simplify187.0ms (4.1%)

prune114.0ms (2.5%)

localize20.0ms (0.4%)

rewrite164.0ms (3.6%)

series158.0ms (3.5%)

simplify121.0ms (2.7%)

prune100.0ms (2.2%)

regimes795.0ms (17.5%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample840.0ms (18.5%)

Profiling