Details

analyze97.0ms (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 (1.8%)

Algorithm

1×

intervals

Results

35.0ms	120×	body	1024	valid
10.0ms	67×	body	512	valid
3.0ms	10×	body	2048	valid
3.0ms	28×	body	256	valid
2.0ms	31×	body	128	valid

Compiler

Compiled 30 to 16 computations (46.7% saved)

simplify72.0ms (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

prune2.0ms (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

58.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	58.0b	(/.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)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.8b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite45.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

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:

9.0ms	(/.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)))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1710 to 265 computations (84.5% saved)

series39.0ms (1.2%)

Error

1.8b

Counts

3 → 18

Calls

3 calls:

13.0ms	(/.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)))
7.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 601 to 382 computations (36.4% saved)

simplify135.0ms (4%)

Algorithm

1×	egg-herbie

Rules

423×	`prod-exp_binary64`
377×	`cancel-sign-sub-inv_binary64`
247×	`unswap-sqr_binary64`
219×	`div-sub_binary64`
217×	`associate-l_binary64`

Counts

107 → 51

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	2671
1	389	2495
2	930	2484
3	2633	2484
4	4318	2484
5	5566	2484

prune23.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Error

0.9b

Counts

52 → 4

Alt Table

Status	Error	Program
▶	2.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
	57.1b	(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1)))
	58.0b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	2.6b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))

Compiler

Compiled 760 to 310 computations (59.2% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(sinh.f64 x)
2.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

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

Counts

3 → 45

Calls

3 calls:

3.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(cosh.f64 x)
1.0ms	(sinh.f64 x)

Compiler

Compiled 495 to 137 computations (72.3% saved)

series42.0ms (1.2%)

Error

0.9b

Counts

3 → 18

Calls

3 calls:

16.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
9.0ms	(sinh.f64 x)
8.0ms	(cosh.f64 x)

Compiler

Compiled 535 to 374 computations (30.1% saved)

simplify79.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-/l/_binary64`
536×	`times-frac_binary64`
355×	`associate-/r/_binary64`
268×	`unswap-sqr_binary64`
185×	`sub-neg_binary64`

Counts

63 → 26

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	854
1	238	806
2	592	806
3	1555	752
4	4207	752
5	4929	752

prune15.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Error

0.9b

Counts

30 → 4

Alt Table

Status	Error	Program
✓	2.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
	57.1b	(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1)))
▶	2.6b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
	39.1b	(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) 3)) (cosh.f64 x))

Compiler

Compiled 343 to 207 computations (39.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 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 x (*.f64 1/3 (pow.f64 x 3)))
0.1b	(*.f64 (pow.f64 x 5) 2/15)
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite89.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

23×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
14×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

4 → 83

Calls

4 calls:

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

Compiler

Compiled 1554 to 1223 computations (21.3% saved)

series51.0ms (1.5%)

Error

0.9b

Counts

4 → 21

Calls

4 calls:

21.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
11.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
7.0ms	(*.f64 (pow.f64 x 5) 2/15)
6.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 496 to 390 computations (21.4% saved)

simplify97.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

488×	`cancel-sign-sub-inv_binary64`
483×	`unswap-sqr_binary64`
326×	`*-commutative_binary64`
282×	`exp-prod_binary64`
249×	`log-prod_binary64`

Counts

104 → 67

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	146	1405
1	318	1338
2	972	1298
3	2471	1298
4	4319	1289
5	4902	1289

prune42.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	64	7	71

Error

0.9b

Counts

71 → 7

Alt Table

Status	Error	Program
	34.4b	(exp.f64 (log.f64 (+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 x (.f64 1/3 (pow.f64 x 3))))))
▶	2.6b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (.f64 2/15 (pow.f64 x 5)))) (cbrt.f64 (.f64 2/15 (pow.f64 x 5)))))
	9.6b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (exp.f64 (log.f64 (.f64 2/15 (pow.f64 x 5)))))
	60.7b	(+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 (pow.f64 x 5) 2/15))
✓	2.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
	57.1b	(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1)))
	39.1b	(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) 3)) (cosh.f64 x))

Compiler

Compiled 1065 to 824 computations (22.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))))
24.6b	(cbrt.f64 (*.f64 2/15 (pow.f64 x 5)))
24.6b	(cbrt.f64 (*.f64 2/15 (pow.f64 x 5)))
24.6b	(cbrt.f64 (*.f64 2/15 (pow.f64 x 5)))

rewrite87.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))))
2.0ms	(cbrt.f64 (*.f64 2/15 (pow.f64 x 5)))
2.0ms	(cbrt.f64 (*.f64 2/15 (pow.f64 x 5)))
2.0ms	(cbrt.f64 (*.f64 2/15 (pow.f64 x 5)))

Compiler

Compiled 1847 to 1545 computations (16.4% saved)

series99.0ms (2.9%)

Error

0.9b

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))))
22.0ms	(cbrt.f64 (*.f64 2/15 (pow.f64 x 5)))
22.0ms	(cbrt.f64 (*.f64 2/15 (pow.f64 x 5)))
20.0ms	(cbrt.f64 (*.f64 2/15 (pow.f64 x 5)))

Compiler

Compiled 963 to 811 computations (15.8% saved)

simplify93.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

483×	`associate-*r/_binary64`
424×	`associate-*l/_binary64`
382×	`*-commutative_binary64`
289×	`unswap-sqr_binary64`
288×	`associate-l_binary64`

Counts

70 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	962
1	117	925
2	322	857
3	1002	844
4	1632	726
5	2083	726
6	4106	726
7	4950	726

prune38.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	45	6	51

Error

0.9b

Counts

51 → 6

Alt Table

Status	Error	Program
	2.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
	9.6b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (.f64 (pow.f64 (cbrt.f64 2/15) 2) (pow.f64 (pow.f64 x 5) 2/3)) (cbrt.f64 (.f64 2/15 (pow.f64 x 5)))))
	34.4b	(exp.f64 (log.f64 (+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 x (.f64 1/3 (pow.f64 x 3))))))
	9.6b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (exp.f64 (log.f64 (.f64 2/15 (pow.f64 x 5)))))
	57.1b	(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1)))
	39.1b	(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) 3)) (cosh.f64 x))

Compiler

Compiled 875 to 727 computations (16.9% saved)

regimes104.0ms (3.1%)

Accuracy

Total -0.5b remaining (-3861.7%)

Threshold costs -0.5b (-3861.7%)

Compiler

Compiled 1996 to 1532 computations (23.2% saved)

simplify4.0ms (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)

sample2.0s (59.5%)

Algorithm

1×

intervals

Results

1.1s	3958×	body	1024	valid
311.0ms	1938×	body	512	valid
125.0ms	399×	body	2048	valid
95.0ms	979×	body	256	valid
36.0ms	726×	body	128	valid

Compiler

Compiled 111 to 83 computations (25.2% saved)

Details

analyze97.0ms (2.9%)

sample62.0ms (1.8%)

simplify72.0ms (2.1%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite45.0ms (1.3%)

series39.0ms (1.2%)

simplify135.0ms (4%)

prune23.0ms (0.7%)

localize5.0ms (0.1%)

rewrite22.0ms (0.7%)

series42.0ms (1.2%)

simplify79.0ms (2.3%)

prune15.0ms (0.4%)

localize8.0ms (0.2%)

rewrite89.0ms (2.6%)

series51.0ms (1.5%)

simplify97.0ms (2.9%)

prune42.0ms (1.2%)

localize13.0ms (0.4%)

rewrite87.0ms (2.6%)

series99.0ms (2.9%)

simplify93.0ms (2.7%)

prune38.0ms (1.1%)

regimes104.0ms (3.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (59.5%)

Profiling