Details

analyze94.0ms (2.9%)

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)

sample62.0ms (1.9%)

Algorithm

1×

intervals

Results

36.0ms	124×	body	1024	valid
7.0ms	57×	body	512	valid
6.0ms	23×	body	2048	valid
2.0ms	31×	body	256	valid
1.0ms	21×	body	128	valid

Compiler

Compiled 30 to 16 computations (46.7% saved)

simplify73.0ms (2.3%)

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

prune2.0ms (0.1%)

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

57.9b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	57.9b	(/.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 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.2b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite63.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`*-un-lft-identity_binary64`
31×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64`

Counts

3 → 89

Calls

3 calls:

11.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1710 to 265 computations (84.5% saved)

series48.0ms (1.5%)

Error

0.4b

Counts

3 → 16

Calls

3 calls:

14.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 549 to 349 computations (36.4% saved)

simplify136.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

421×	`prod-exp_binary64`
361×	`cancel-sign-sub-inv_binary64`
227×	`exp-prod_binary64`
219×	`div-sub_binary64`
215×	`unswap-sqr_binary64`

Counts

105 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	2615
1	364	2439
2	852	2428
3	2433	2428
4	4095	2428
5	5379	2428

prune26.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	2	50

Error

0.5b

Counts

50 → 2

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))
	0.7b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))

Compiler

Compiled 636 to 235 computations (63.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite30.0ms (0.9%)

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:

6.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(sinh.f64 x)

Compiler

Compiled 420 to 117 computations (72.1% saved)

series43.0ms (1.3%)

Error

0.5b

Counts

2 → 11

Calls

2 calls:

20.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
14.0ms	(sinh.f64 x)

Compiler

Compiled 332 to 225 computations (32.2% saved)

simplify86.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

48 → 18

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	94	686
1	183	645
2	462	645
3	1226	599
4	3984	587
5	4831	587
6	4948	587

prune14.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Error

0.5b

Counts

20 → 3

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	0.7b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
	0.9b	(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (cosh.f64 x))

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))
0.0b	(*.f64 (pow.f64 x 5) 2/15)
0.2b	(*.f64 1/3 (pow.f64 x 3))

rewrite109.0ms (3.4%)

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:

6.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
6.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 (pow.f64 x 5) 2/15)

Compiler

Compiled 1295 to 1023 computations (21% saved)

series30.0ms (0.9%)

Error

0.5b

Counts

3 → 11

Calls

3 calls:

10.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
9.0ms	(*.f64 (pow.f64 x 5) 2/15)
8.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 295 to 231 computations (21.7% saved)

simplify112.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

82 → 55

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	1113
1	288	1034
2	848	997
3	2055	997
4	3911	991
5	4898	991
6	4947	991

prune54.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	54	4	58

Error

0.5b

Counts

58 → 4

Alt Table

Status	Error	Program
	31.8b	(+.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))))
	34.9b	(exp.f64 (log.f64 (+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 x (.f64 1/3 (pow.f64 x 3))))))
✓	0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	0.7b	(-.f64 x (-.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))

Compiler

Compiled 843 to 649 computations (23% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
0.0b	(*.f64 2/15 (pow.f64 x 5))
0.2b	(*.f64 1/3 (pow.f64 x 3))

rewrite104.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`

Counts

3 → 68

Calls

3 calls:

9.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 2/15 (pow.f64 x 5))
5.0ms	(-.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))

Compiler

Compiled 1232 to 979 computations (20.5% saved)

series35.0ms (1.1%)

Error

0.5b

Counts

3 → 12

Calls

3 calls:

16.0ms	(-.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
8.0ms	(*.f64 1/3 (pow.f64 x 3))
8.0ms	(*.f64 2/15 (pow.f64 x 5))

Compiler

Compiled 304 to 237 computations (22% saved)

simplify121.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

486×	`distribute-rgt-neg-in_binary64`
468×	`unswap-sqr_binary64`
320×	`*-commutative_binary64`
277×	`exp-prod_binary64`
241×	`sqr-pow_binary64`

Counts

80 → 45

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	122	998
1	248	934
2	676	921
3	1273	921
4	2993	886
5	4658	883
6	4939	883
7	4824	883

prune41.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	46	3	49

Error

0.5b

Counts

49 → 3

Alt Table

Status	Error	Program
	0.7b	(-.f64 x (-.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 (.f64 (cbrt.f64 2/15) (cbrt.f64 2/15)) (.f64 (pow.f64 x 5) (cbrt.f64 2/15)))))
	34.9b	(exp.f64 (log.f64 (+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 x (.f64 1/3 (pow.f64 x 3))))))
	0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 526 to 413 computations (21.5% saved)

regimes148.0ms (4.6%)

Accuracy

Total -0.9b remaining (-7061.7%)

Threshold costs -0.9b (-7061.7%)

Compiler

Compiled 1938 to 1478 computations (23.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end1.0ms (0%)

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

sample1.8s (54.6%)

Algorithm

1×

intervals

Results

993.0ms	3928×	body	1024	valid
246.0ms	1963×	body	512	valid
114.0ms	409×	body	2048	valid
74.0ms	971×	body	256	valid
31.0ms	729×	body	128	valid
0.0ms	2×	body	128	overflowed

Compiler

Compiled 62 to 46 computations (25.8% saved)

Details

analyze94.0ms (2.9%)

sample62.0ms (1.9%)

simplify73.0ms (2.3%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite63.0ms (1.9%)

series48.0ms (1.5%)

simplify136.0ms (4.2%)

prune26.0ms (0.8%)

localize4.0ms (0.1%)

rewrite30.0ms (0.9%)

series43.0ms (1.3%)

simplify86.0ms (2.7%)

prune14.0ms (0.4%)

localize10.0ms (0.3%)

rewrite109.0ms (3.4%)

series30.0ms (0.9%)

simplify112.0ms (3.5%)

prune54.0ms (1.7%)

localize8.0ms (0.2%)

rewrite104.0ms (3.2%)

series35.0ms (1.1%)

simplify121.0ms (3.8%)

prune41.0ms (1.3%)

regimes148.0ms (4.6%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.8s (54.6%)

Profiling