Details

analyze92.0ms (2.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample64.0ms (1.9%)

Algorithm

1×

intervals

Results

37.0ms	132×	body	1024	valid
9.0ms	59×	body	512	valid
6.0ms	11×	body	2048	valid
3.0ms	34×	body	256	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 30 to 16 computations (46.7% saved)

simplify70.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

464×	`times-frac_binary64`
407×	`neg-mul-1_binary64`
388×	`associate-/r/_binary64`
388×	`neg-sub0_binary64`
311×	`associate-/l/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	34	22
3	57	22
4	116	22
5	263	22
6	561	22
7	1419	22
8	3334	22
9	4405	22
10	4797	22

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

58.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	58.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 28 to 14 computations (50% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.1b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`*-un-lft-identity_binary64`
30×	`times-frac_binary64`
30×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
7×	`distribute-lft-out_binary64`

Counts

2 → 76

Calls

2 calls:

10.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1465 to 231 computations (84.2% saved)

series29.0ms (0.8%)

Error

0.4b

Counts

2 → 12

Calls

2 calls:

11.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 401 to 259 computations (35.4% saved)

simplify129.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

756×	`div-sub_binary64`
336×	`cancel-sign-sub-inv_binary64`
201×	`unswap-sqr_binary64`
189×	`exp-prod_binary64`
180×	`cube-prod_binary64`

Counts

88 → 48

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	147	2388
1	344	2245
2	826	2236
3	2340	2236
4	3891	2223
5	5272	2223

prune19.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Error

0.5b

Counts

49 → 2

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))
	0.8b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))

Compiler

Compiled 696 to 260 computations (62.6% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 x)
0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 37

Calls

2 calls:

4.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(sinh.f64 x)

Compiler

Compiled 420 to 117 computations (72.1% saved)

series32.0ms (0.9%)

Error

0.5b

Counts

2 → 12

Calls

2 calls:

17.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
8.0ms	(sinh.f64 x)

Compiler

Compiled 354 to 241 computations (31.9% saved)

simplify105.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

687×	`associate-/l/_binary64`
536×	`times-frac_binary64`
430×	`associate-/l*_binary64`
354×	`associate-/r/_binary64`
263×	`cancel-sign-sub-inv_binary64`

Counts

49 → 19

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	97	714
1	192	673
2	494	673
3	1283	627
4	4076	615
5	4762	615
6	5000	615
7	4871	615

prune10.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

0.5b

Counts

21 → 2

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	0.8b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))

Compiler

Compiled 209 to 126 computations (39.7% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
0.1b	(*.f64 (pow.f64 x 5) 2/15)
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite68.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`associate-l_binary64`
10×	`*-un-lft-identity_binary64`

Counts

3 → 71

Calls

3 calls:

5.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
4.0ms	(*.f64 (pow.f64 x 5) 2/15)

Compiler

Compiled 1295 to 1023 computations (21% saved)

series24.0ms (0.7%)

Error

0.5b

Counts

3 → 11

Calls

3 calls:

8.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
7.0ms	(*.f64 1/3 (pow.f64 x 3))
7.0ms	(*.f64 (pow.f64 x 5) 2/15)

Compiler

Compiled 295 to 231 computations (21.7% saved)

simplify101.0ms (3%)

Algorithm

1×	egg-herbie

Rules

478×	`unswap-sqr_binary64`
475×	`log-prod_binary64`
401×	`exp-prod_binary64`
335×	`cancel-sign-sub-inv_binary64`
313×	`*-commutative_binary64`

Counts

82 → 55

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	1113
1	286	1034
2	864	997
3	2125	997
4	3942	991
5	4904	991
6	4950	991

prune33.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	53	4	57

Error

0.5b

Counts

57 → 4

Alt Table

Status	Error	Program
	38.2b	(exp.f64 (log.f64 (+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 x (.f64 1/3 (pow.f64 x 3))))))
✓	0.8b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
✓	0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	35.7b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 (sqrt.f64 x) 5) (*.f64 2/15 (pow.f64 (sqrt.f64 x) 5))))

Compiler

Compiled 829 to 638 computations (23% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/15 (pow.f64 (sqrt.f64 x) 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
0.2b	(pow.f64 (sqrt.f64 x) 5)
0.2b	(pow.f64 (sqrt.f64 x) 5)

rewrite104.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

32×	`add-sqr-sqrt_binary64`
24×	`unpow-prod-down_binary64`
22×	`associate-r_binary64`
18×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`

Counts

4 → 106

Calls

4 calls:

5.0ms	(*.f64 2/15 (pow.f64 (sqrt.f64 x) 5))
5.0ms	(*.f64 1/3 (pow.f64 x 3))
4.0ms	(pow.f64 (sqrt.f64 x) 5)
2.0ms	(pow.f64 (sqrt.f64 x) 5)

Compiler

Compiled 2303 to 1622 computations (29.6% saved)

series31.0ms (0.9%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

9.0ms	(*.f64 1/3 (pow.f64 x 3))
7.0ms	(pow.f64 (sqrt.f64 x) 5)
7.0ms	(pow.f64 (sqrt.f64 x) 5)
7.0ms	(*.f64 2/15 (pow.f64 (sqrt.f64 x) 5))

Compiler

Compiled 584 to 469 computations (19.7% saved)

simplify116.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

574×	`unswap-sqr_binary64`
432×	`log-prod_binary64`
379×	`associate-/l*_binary64`
365×	`*-commutative_binary64`
309×	`exp-prod_binary64`

Counts

118 → 87

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	133	1247
1	255	1181
2	648	1180
3	1086	1144
4	2202	1082
5	4365	964
6	4804	964
7	4855	964

prune40.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	87	4	91

Error

0.5b

Counts

91 → 4

Alt Table

Status	Error	Program
	38.2b	(exp.f64 (log.f64 (+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 x (.f64 1/3 (pow.f64 x 3))))))
	0.8b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
	35.7b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 (sqrt.f64 x) 5) (exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5/2))))))
	0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 1075 to 780 computations (27.4% saved)

regimes72.0ms (2.1%)

Accuracy

Total -1.0b remaining (-7265%)

Threshold costs -1.0b (-7265%)

Compiler

Compiled 1200 to 892 computations (25.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

Compiler: Compiled 3 to 2 computations (33.3% saved)

sample2.1s (63.3%)

Algorithm

1×

intervals

Results

1.2s	3844×	body	1024	valid
327.0ms	1994×	body	512	valid
136.0ms	412×	body	2048	valid
100.0ms	1021×	body	256	valid
39.0ms	729×	body	128	valid

Compiler

Compiled 76 to 56 computations (26.3% saved)

Details

analyze92.0ms (2.7%)

sample64.0ms (1.9%)

simplify70.0ms (2.1%)

prune1.0ms (0%)

localize7.0ms (0.2%)

rewrite39.0ms (1.2%)

series29.0ms (0.8%)

simplify129.0ms (3.8%)

prune19.0ms (0.6%)

localize3.0ms (0.1%)

rewrite20.0ms (0.6%)

series32.0ms (0.9%)

simplify105.0ms (3.1%)

prune10.0ms (0.3%)

localize10.0ms (0.3%)

rewrite68.0ms (2%)

series24.0ms (0.7%)

simplify101.0ms (3%)

prune33.0ms (1%)

localize10.0ms (0.3%)

rewrite104.0ms (3.1%)

series31.0ms (0.9%)

simplify116.0ms (3.5%)

prune40.0ms (1.2%)

regimes72.0ms (2.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (63.3%)

Profiling