Details

analyze214.0ms (3.9%)

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)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify81.0ms (1.5%)

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

prune4.0ms (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 (0.3%)

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)
0.3b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite200.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
14×	`add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `associate-r_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `cancel-sign-sub-inv_binary64`
4×	`associate-*r/_binary64`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(+.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)))))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3141 to 1575 computations (49.9% saved)

series226.0ms (4.1%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

87.0ms	(+.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)))))
51.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
25.0ms	(.f64 (.f64 b b) (+.f64 3 a))
14.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3039 to 2229 computations (26.7% saved)

simplify182.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-+l+_binary64`
343×	`associate-+r+_binary64`
267×	`associate-l_binary64`
226×	`exp-prod_binary64`
217×	`associate-r_binary64` `+-commutative_binary64`

Counts

141 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	2929
1	585	2614
2	1868	2518
3	4253	2514
4	4948	2514
5	4999	2514
6	4942	2514

prune117.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	3	117

Error

0.0b

Counts

117 → 3

Alt Table

Status	Error	Program
	11.5b	(-.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4))) 1)
	12.9b	(-.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (.f64 b b) 12))) (.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))) 1)
▶	0.0b	(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a))))) (+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))))) 1)

Compiler

Compiled 2432 to 1306 computations (46.3% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 a (+.f64 4 (.f64 2 a)))
0.0b	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
0.0b	(-.f64 (*.f64 a a) (pow.f64 a 3))
0.5b	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

rewrite269.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`cancel-sign-sub-inv_binary64`
29×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
15×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-r_binary64`
13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 126

Calls

4 calls:

12.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
8.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
7.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))
6.0ms	(.f64 a (+.f64 4 (.f64 2 a)))

Compiler

Compiled 4502 to 3046 computations (32.3% saved)

series125.0ms (2.3%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

43.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
19.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
18.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))
18.0ms	(.f64 a (+.f64 4 (.f64 2 a)))

Compiler

Compiled 1968 to 1502 computations (23.7% saved)

simplify156.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

684×	`exp-prod_binary64`
498×	`unswap-sqr_binary64`
375×	`associate-l_binary64`
347×	`associate-r_binary64`
276×	`cancel-sign-sub-inv_binary64`

Counts

154 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	2396
1	536	2162
2	2292	2159
3	4556	2135
4	4799	2135
5	4968	2135

prune110.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	126	3	129

Error

0.0b

Counts

129 → 3

Alt Table

Status	Error	Program
▶	11.5b	(-.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4))) 1)
	12.9b	(-.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (.f64 b b) 12))) (.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))) 1)
✓	0.0b	(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a))))) (+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))))) 1)

Compiler

Compiled 2352 to 1624 computations (31% saved)

localize13.0ms (0.2%)

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))

rewrite183.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64` `associate-l_binary64`
14×	`pow1_binary64`
12×	`-un-lft-identity_binary64` `associate-r/_binary64`
10×	`add-cube-cbrt_binary64`

Counts

4 → 97

Calls

4 calls:

13.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
10.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
9.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
5.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 2786 to 1781 computations (36.1% saved)

series146.0ms (2.7%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

69.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
34.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
15.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
8.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 1448 to 1162 computations (19.8% saved)

simplify124.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

130 → 87

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	2546
1	569	2411
2	2611	2315
3	4628	2291
4	4948	2291

prune83.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	87	3	90

Error

0.0b

Counts

90 → 3

Alt Table

Status	Error	Program
	12.9b	(-.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (.f64 b b) 12))) (.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))) 1)
✓	0.0b	(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a))))) (+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))))) 1)
▶	11.6b	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4))) 1)

Compiler

Compiled 1527 to 997 computations (34.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite200.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
28×	`associate-*r/_binary64`
23×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
8×	`add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+l+_binary64`

Counts

4 → 103

Calls

4 calls:

13.0ms	(+.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
11.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
10.0ms	(.f64 a (.f64 a (*.f64 a (+.f64 a -4))))
7.0ms	(.f64 a (.f64 a (+.f64 a -4)))

Compiler

Compiled 3285 to 1842 computations (43.9% saved)

series148.0ms (2.7%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

67.0ms	(+.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
33.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
14.0ms	(.f64 a (.f64 a (*.f64 a (+.f64 a -4))))
13.0ms	(.f64 a (.f64 a (+.f64 a -4)))

Compiler

Compiled 1619 to 1246 computations (23% saved)

simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

412×	`associate-l_binary64`
355×	`associate-r_binary64`
300×	`associate-+l+_binary64`
246×	`associate-+r+_binary64`
220×	`cancel-sign-sub-inv_binary64`

Counts

139 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	2970
1	546	2520
2	2229	2469
3	4990	2469

prune81.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

109 → 3

Alt Table

Status	Error	Program
	12.9b	(-.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (.f64 b b) 12))) (.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))) 1)
	0.0b	(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a))))) (+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))))) 1)
	11.6b	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4))) 1)

Compiler

Compiled 1713 to 1062 computations (38% saved)

regimes1.8s (33.3%)

Accuracy

Total 0.0b remaining (46.6%)

Threshold costs 0.0b (46.6%)

Compiler

Compiled 34825 to 23618 computations (32.2% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
5×	`*-commutative_binary64`
3×	`sub-neg_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	49
1	40	49
2	44	49
3	46	49
4	47	49
5	45	49

end1.0ms (0%)

Compiler: Compiled 35 to 26 computations (25.7% saved)

sample833.0ms (15.1%)

Algorithm

1×

intervals

Results

475.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 160 to 112 computations (30% saved)

Details

analyze214.0ms (3.9%)

sample23.0ms (0.4%)

simplify81.0ms (1.5%)

prune4.0ms (0.1%)

localize15.0ms (0.3%)

rewrite200.0ms (3.6%)

series226.0ms (4.1%)

simplify182.0ms (3.3%)

prune117.0ms (2.1%)

localize24.0ms (0.4%)

rewrite269.0ms (4.9%)

series125.0ms (2.3%)

simplify156.0ms (2.8%)

prune110.0ms (2%)

localize13.0ms (0.2%)

rewrite183.0ms (3.3%)

series146.0ms (2.7%)

simplify124.0ms (2.3%)

prune83.0ms (1.5%)

localize18.0ms (0.3%)

rewrite200.0ms (3.6%)

series148.0ms (2.7%)

simplify94.0ms (1.7%)

prune81.0ms (1.5%)

regimes1.8s (33.3%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample833.0ms (15.1%)

Profiling