Details

analyze244.0ms (5.6%)

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 (0.6%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify77.0ms (1.8%)

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)

localize15.0ms (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)
0.4b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite120.0ms (2.8%)

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:

9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
7.0ms	(.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)

series168.0ms (3.9%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

63.0ms	(+.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)))))
46.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
16.0ms	(.f64 (.f64 b b) (+.f64 3 a))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2922 to 2144 computations (26.6% saved)

simplify108.0ms (2.5%)

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

prune82.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	3	114

Error

0.0b

Counts

114 → 3

Alt Table

Status	Error	Program
▶	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)
	16.2b	(-.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	13.2b	(-.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4))) 1)

Compiler

Compiled 2366 to 1258 computations (46.8% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.1b	(.f64 a (.f64 a (*.f64 b b)))
0.4b	(.f64 a (.f64 b b))
0.4b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite135.0ms (3.1%)

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))
6.0ms	(.f64 (.f64 b b) (+.f64 3 a))
6.0ms	(.f64 a (.f64 a (*.f64 b b)))
4.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 3669 to 1977 computations (46.1% saved)

series75.0ms (1.7%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

19.0ms	(.f64 (.f64 b b) (+.f64 3 a))
16.0ms	(.f64 a (.f64 a (*.f64 b b)))
16.0ms	(.f64 a (.f64 b b))
13.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2168 to 1529 computations (29.5% saved)

simplify97.0ms (2.2%)

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

prune62.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	92	3	95

Error

0.0b

Counts

95 → 3

Alt Table

Status	Error	Program
✓	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)
	16.2b	(-.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	13.2b	(-.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4))) 1)

Compiler

Compiled 1908 to 1097 computations (42.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 b b))
0.0b	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
0.9b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))

rewrite135.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64`
19×	`add-exp-log_binary64`
16×	`associate-l_binary64`
16×	`add-cbrt-cube_binary64`
14×	`pow1_binary64`

Counts

4 → 97

Calls

4 calls:

9.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
8.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
6.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
4.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 2786 to 1781 computations (36.1% saved)

series113.0ms (2.6%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

51.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
25.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
11.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
10.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 1448 to 1162 computations (19.8% saved)

simplify114.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

507×	`exp-prod_binary64`
449×	`associate-l_binary64`
376×	`cancel-sign-sub-inv_binary64`
350×	`associate-r_binary64`
333×	`unswap-sqr_binary64`

Counts

130 → 96

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	2582
1	572	2411
2	2615	2315
3	4620	2291
4	4963	2291

prune73.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	96	3	99

Error

Counts

99 → 3

Alt Table

Status	Error	Program
	37.8b	(-.f64 (+.f64 (.f64 (sqrt.f64 (pow.f64 a 3)) (.f64 (+.f64 a -4) (pow.f64 a 3/2))) (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))) 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)
▶	16.2b	(-.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 1781 to 1156 computations (35.1% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
0.4b	(.f64 (.f64 b b) (+.f64 3 a))
24.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

rewrite117.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 88

Calls

4 calls:

7.0ms	(.f64 (.f64 a a) (-.f64 1 a))
7.0ms	(.f64 (.f64 b b) (+.f64 3 a))
4.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
3.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

Compiler

Compiled 3052 to 1567 computations (48.7% saved)

series116.0ms (2.7%)

Error

Counts

4 → 44

Calls

4 calls:

38.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))
30.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
18.0ms	(.f64 (.f64 b b) (+.f64 3 a))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2729 to 1934 computations (29.1% saved)

simplify118.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

493×	`distribute-rgt-in_binary64`
473×	`exp-prod_binary64`
471×	`distribute-lft-in_binary64`
443×	`*-commutative_binary64`
245×	`associate-l_binary64`

Counts

132 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	2027
1	437	1859
2	1322	1796
3	3200	1764
4	4730	1764
5	5109	1764

prune65.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Error

Counts

110 → 3

Alt Table

Status	Error	Program
	37.8b	(-.f64 (+.f64 (.f64 (sqrt.f64 (pow.f64 a 3)) (.f64 (+.f64 a -4) (pow.f64 a 3/2))) (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))) 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)
	16.2b	(-.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 1990 to 1064 computations (46.5% saved)

regimes1.2s (28.1%)

Accuracy

Total 0.0b remaining (78.1%)

Threshold costs 0.0b (78.1%)

Compiler

Compiled 30718 to 20974 computations (31.7% 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)

sample1.0s (23.2%)

Algorithm

1×

intervals

Results

664.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 170 to 114 computations (32.9% saved)

Details

analyze244.0ms (5.6%)

sample28.0ms (0.6%)

simplify77.0ms (1.8%)

prune3.0ms (0.1%)

localize15.0ms (0.4%)

rewrite120.0ms (2.8%)

series168.0ms (3.9%)

simplify108.0ms (2.5%)

prune82.0ms (1.9%)

localize21.0ms (0.5%)

rewrite135.0ms (3.1%)

series75.0ms (1.7%)

simplify97.0ms (2.2%)

prune62.0ms (1.4%)

localize12.0ms (0.3%)

rewrite135.0ms (3.1%)

series113.0ms (2.6%)

simplify114.0ms (2.6%)

prune73.0ms (1.7%)

localize19.0ms (0.4%)

rewrite117.0ms (2.7%)

series116.0ms (2.7%)

simplify118.0ms (2.7%)

prune65.0ms (1.5%)

regimes1.2s (28.1%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.0s (23.2%)

Profiling