Details

analyze34.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample33.0ms (1.1%)

Algorithm

1×

intervals

Results

8.0ms	50×	body	512	valid
8.0ms	40×	body	1024	valid
7.0ms	142×	body	128	valid
2.0ms	24×	body	256	valid

Compiler

Compiled 34 to 28 computations (17.6% saved)

simplify16.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

44×	`sub-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
28×	`distribute-rgt-in_binary64`
28×	`unsub-neg_binary64`
25×	`associate--r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	59	22
4	101	22
5	165	22
6	198	22
7	217	22
8	216	22
9	192	22

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

9.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	9.9b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 48 to 39 computations (18.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
2.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite228.0ms (7.7%)

Algorithm

1×	rewrite-expression-head

Error

9.1b

Rules

112×	`*-un-lft-identity_binary64`
74×	`times-frac_binary64`
72×	`add-sqr-sqrt_binary64`
39×	`add-cube-cbrt_binary64`
26×	`cancel-sign-sub-inv_binary64`

Counts

4 → 161

Calls

4 calls:

31.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
19.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
4.0ms	(/.f64 1 (-.f64 x 1))
4.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3272 to 2646 computations (19.1% saved)

series61.0ms (2.1%)

Error

0.3b

Counts

4 → 41

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
11.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
8.0ms	(/.f64 1 (-.f64 x 1))
8.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1283 to 1048 computations (18.3% saved)

simplify162.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

399×	`associate-l_binary64`
318×	`distribute-rgt-in_binary64`
289×	`associate-/l*_binary64`
282×	`associate-*l/_binary64`
271×	`distribute-lft-in_binary64`

Counts

202 → 169

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	3207
1	612	3125
2	1594	3091
3	4273	3089
4	4971	3089
5	4939	3089

prune65.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	166	3	169
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	166	4	170

Error

0.3b

Counts

170 → 4

Alt Table

Status	Error	Program
▶	25.3b	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
	32.4b	(-.f64 (/.f64 -2 x) (*.f64 x 2))
✓	9.9b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
	31.6b	(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))

Compiler

Compiled 1873 to 1469 computations (21.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
0.0b	(-.f64 x (+.f64 2 (*.f64 x 2)))
16.8b	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

rewrite148.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

25×	`cancel-sign-sub-inv_binary64`
23×	`*-un-lft-identity_binary64`
19×	`flip-+_binary64`
19×	`flip3-+_binary64`
18×	`add-sqr-sqrt_binary64`

Counts

4 → 116

Calls

4 calls:

13.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))
11.0ms	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
5.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))
2.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 4756 to 2770 computations (41.8% saved)

series49.0ms (1.7%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

21.0ms	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
9.0ms	(+.f64 x (*.f64 x x))
7.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))
4.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

Compiler

Compiled 873 to 574 computations (34.2% saved)

simplify162.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

456×	`distribute-rgt-in_binary64`
432×	`distribute-lft-in_binary64`
398×	`associate-l_binary64`
362×	`associate-r_binary64`
236×	`distribute-rgt-neg-out_binary64`

Counts

140 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	4159
1	812	3780
2	3282	3261
3	4673	3261
4	4995	3261
5	4937	3261

prune68.0ms (2.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	2	2
Picked	1	0	1
Done	1	0	1
Total	118	3	121

Error

0.3b

Counts

121 → 3

Alt Table

Status	Error	Program
	31.6b	(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
	32.4b	(-.f64 (/.f64 -2 x) (*.f64 x 2))
▶	25.1b	(/.f64 (+.f64 (-.f64 2 (+.f64 x (.f64 x x))) (+.f64 x (.f64 x x))) (-.f64 (pow.f64 x 3) x))

Compiler

Compiled 2850 to 1674 computations (41.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(+.f64 x (*.f64 x x))
16.8b	(+.f64 (-.f64 2 (+.f64 x (.f64 x x))) (+.f64 x (.f64 x x)))

rewrite57.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

28×	`add-log-exp_binary64`
13×	`sum-log_binary64`
12×	`*-un-lft-identity_binary64`
6×	`associate-+l+_binary64`
5×	`cancel-sign-sub-inv_binary64`

Counts

3 → 56

Calls

3 calls:

9.0ms	(+.f64 (-.f64 2 (+.f64 x (.f64 x x))) (+.f64 x (.f64 x x)))
6.0ms	(+.f64 x (*.f64 x x))
2.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 1673 to 596 computations (64.4% saved)

series30.0ms (1%)

Error

0.3b

Counts

3 → 15

Calls

3 calls:

13.0ms	(+.f64 x (*.f64 x x))
8.0ms	(+.f64 x (*.f64 x x))
4.0ms	(+.f64 (-.f64 2 (+.f64 x (.f64 x x))) (+.f64 x (.f64 x x)))

Compiler

Compiled 502 to 320 computations (36.3% saved)

simplify83.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

814×	`distribute-rgt-in_binary64`
763×	`distribute-lft-in_binary64`
222×	`div-exp_binary64`
149×	`cancel-sign-sub-inv_binary64`
116×	`associate-/l*_binary64`

Counts

71 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	913
1	332	859
2	1193	841
3	4719	841
4	5138	841

prune33.0ms (1.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	49	1	50

Error

0.3b

Counts

50 → 1

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (cbrt.f64 8) (-.f64 (pow.f64 x 3) x))

Compiler

Compiled 755 to 374 computations (50.5% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (cbrt.f64 8) (-.f64 (pow.f64 x 3) x))

rewrite80.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

77×	`add-sqr-sqrt_binary64`
54×	`times-frac_binary64`
49×	`*-un-lft-identity_binary64`
30×	`cbrt-prod_binary64`
28×	`difference-of-squares_binary64`

Counts

1 → 83

Calls

1 calls:

8.0ms

(/.f64 (cbrt.f64 8) (-.f64 (pow.f64 x 3) x))

Compiler

Compiled 1326 to 1012 computations (23.7% saved)

series15.0ms (0.5%)

Error

0.3b

Counts

1 → 10

Calls

1 calls:

12.0ms

(/.f64 (cbrt.f64 8) (-.f64 (pow.f64 x 3) x))

Compiler

Compiled 276 to 237 computations (14.1% saved)

simplify135.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

478×	`associate-/r*_binary64`
315×	`*-commutative_binary64`
315×	`unsub-neg_binary64`
278×	`associate-/l*_binary64`
236×	`associate-/l/_binary64`

Counts

93 → 58

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	154	2312
1	297	2204
2	689	2154
3	1545	2150
4	4104	2147
5	4850	2147
6	4953	2147

prune27.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Error

0.1b

Counts

59 → 4

Alt Table

Status	Error	Program
	0.8b	(*.f64 (sqrt.f64 (cbrt.f64 8)) (/.f64 (sqrt.f64 (cbrt.f64 8)) (-.f64 (pow.f64 x 3) x)))
	31.1b	(*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2))) (/.f64 (cbrt.f64 8) (-.f64 (pow.f64 x 3/2) (sqrt.f64 x))))
	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (cbrt.f64 (-.f64 (pow.f64 x 3) x)))) (/.f64 (cbrt.f64 8) (cbrt.f64 (-.f64 (pow.f64 x 3) x))))
	0.3b	(/.f64 (cbrt.f64 8) (-.f64 (pow.f64 x 3) x))

Compiler

Compiled 493 to 373 computations (24.3% saved)

regimes308.0ms (10.4%)

Accuracy

Total -0.1b remaining (-139.2%)

Threshold costs -0.1b (-139.2%)

Compiler

Compiled 6334 to 5049 computations (20.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	14	15
2	15	15
3	13	15

end1.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample1.1s (38.1%)

Algorithm

1×

intervals

Results

281.0ms	1368×	body	1024	valid
246.0ms	1586×	body	512	valid
236.0ms	4314×	body	128	valid
79.0ms	732×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 97 to 76 computations (21.6% saved)

Details

analyze34.0ms (1.1%)

sample33.0ms (1.1%)

simplify16.0ms (0.5%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite228.0ms (7.7%)

series61.0ms (2.1%)

simplify162.0ms (5.5%)

prune65.0ms (2.2%)

localize13.0ms (0.4%)

rewrite148.0ms (5%)

series49.0ms (1.7%)

simplify162.0ms (5.5%)

prune68.0ms (2.3%)

localize8.0ms (0.3%)

rewrite57.0ms (1.9%)

series30.0ms (1%)

simplify83.0ms (2.8%)

prune33.0ms (1.1%)

localize8.0ms (0.3%)

rewrite80.0ms (2.7%)

series15.0ms (0.5%)

simplify135.0ms (4.5%)

prune27.0ms (0.9%)

regimes308.0ms (10.4%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.1s (38.1%)

Profiling