Details

analyze1.4s (20.7%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample49.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
9.0ms	96×	body	128	invalid
3.0ms	63×	body	128	nan

Compiler

Compiled 40 to 28 computations (30% saved)

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

614×	`*-commutative_binary64`
613×	`associate-l_binary64`
526×	`sqr-pow_binary64`
394×	`associate-*r/_binary64`
380×	`cube-prod_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	19
2	50	19
3	94	19
4	214	19
5	580	19
6	1763	19
7	2455	19
8	2523	19
9	2681	19
10	2897	19
11	3155	19
12	3645	19
13	4486	19
14	5008	19

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	1.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

Compiler

Compiled 48 to 33 computations (31.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.3b	(*.f64 a (pow.f64 k m))
1.6b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite90.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

20×	`add-exp-log_binary64`
17×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cbrt-cube_binary64`
11×	`associate-r_binary64`

Counts

3 → 73

Calls

3 calls:

5.0ms	(*.f64 k (+.f64 k 10))
5.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
4.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 1419 to 751 computations (47.1% saved)

series96.0ms (1.5%)

Error

1.9b

Counts

3 → 31

Calls

3 calls:

45.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
27.0ms	(*.f64 a (pow.f64 k m))
7.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1564 to 1084 computations (30.7% saved)

simplify109.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

408×	`distribute-rgt-in_binary64`
397×	`distribute-lft-in_binary64`
373×	`associate-/r*_binary64`
303×	`associate-*l/_binary64`
257×	`associate-/l/_binary64`

Counts

104 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	1808
1	478	1616
2	1698	1592
3	4809	1592
4	4985	1592
5	4956	1592

prune40.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Error

1.9b

Counts

67 → 4

Alt Table

Status	Error	Program
	1.9b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
	30.4b	(+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 (log.f64 k) m)) (.f64 1/2 (.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 (pow.f64 (log.f64 k) 2) (*.f64 m m))))))
▶	1.9b	(/.f64 (.f64 (.f64 a (sqrt.f64 (pow.f64 k m))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (*.f64 k (+.f64 k 10))))
	2.3b	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))

Compiler

Compiled 944 to 550 computations (41.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (sqrt.f64 (pow.f64 k m)))
0.0b	(.f64 (.f64 a (sqrt.f64 (pow.f64 k m))) (pow.f64 k (/.f64 m 2)))
0.5b	(sqrt.f64 (pow.f64 k m))
1.6b	(/.f64 (.f64 (.f64 a (sqrt.f64 (pow.f64 k m))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite140.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

40×	`add-exp-log_binary64`
23×	`add-sqr-sqrt_binary64`
20×	`add-cbrt-cube_binary64`
19×	`prod-exp_binary64`
17×	`associate-r_binary64`

Counts

4 → 100

Calls

4 calls:

9.0ms	(/.f64 (.f64 (.f64 a (sqrt.f64 (pow.f64 k m))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (*.f64 k (+.f64 k 10))))
6.0ms	(.f64 (.f64 a (sqrt.f64 (pow.f64 k m))) (pow.f64 k (/.f64 m 2)))
5.0ms	(*.f64 a (sqrt.f64 (pow.f64 k m)))
2.0ms	(sqrt.f64 (pow.f64 k m))

Compiler

Compiled 2683 to 1413 computations (47.3% saved)

series210.0ms (3.2%)

Error

1.8b

Counts

4 → 46

Calls

4 calls:

70.0ms	(/.f64 (.f64 (.f64 a (sqrt.f64 (pow.f64 k m))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (*.f64 k (+.f64 k 10))))
54.0ms	(.f64 (.f64 a (sqrt.f64 (pow.f64 k m))) (pow.f64 k (/.f64 m 2)))
39.0ms	(*.f64 a (sqrt.f64 (pow.f64 k m)))
20.0ms	(sqrt.f64 (pow.f64 k m))

Compiler

Compiled 3135 to 2176 computations (30.6% saved)

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

494×	`associate-/l/_binary64`
379×	`associate-/r/_binary64`
260×	`associate-l_binary64`
256×	`associate-r_binary64`
237×	`distribute-rgt-in_binary64`

Counts

146 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	242	3436
1	612	3003
2	2346	2245
3	4255	2237
4	4941	2237

prune80.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	117	4	121
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	120	5	125

Error

1.6b

Counts

125 → 5

Alt Table

Status	Error	Program
	1.9b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
▶	1.6b	(/.f64 (.f64 (.f64 a (.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4)))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))
	2.0b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 (pow.f64 k m) a)))
	1.9b	(.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 k m)) a) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (sqrt.f64 (pow.f64 k m)) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))))
	1.9b	(/.f64 (.f64 (.f64 (.f64 a (pow.f64 k (/.f64 m 4))) (sqrt.f64 (sqrt.f64 (pow.f64 k m)))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))

Compiler

Compiled 1842 to 1060 computations (42.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 a (.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4))))
0.0b	(.f64 (.f64 a (*.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4)))) (pow.f64 k (/.f64 m 2)))
0.0b	(*.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4)))
1.6b	(/.f64 (.f64 (.f64 a (.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4)))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite251.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

262×	`add-exp-log_binary64`
208×	`prod-exp_binary64`
70×	`pow-exp_binary64`
70×	`pow-to-exp_binary64`
34×	`add-cbrt-cube_binary64`

Counts

4 → 187

Calls

4 calls:

16.0ms	(/.f64 (.f64 (.f64 a (.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4)))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))
9.0ms	(.f64 a (.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4))))
9.0ms	(.f64 (.f64 a (*.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4)))) (pow.f64 k (/.f64 m 2)))
6.0ms	(*.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4)))

Compiler

Compiled 5015 to 3364 computations (32.9% saved)

series250.0ms (3.8%)

Error

1.6b

Counts

4 → 46

Calls

4 calls:

82.0ms	(/.f64 (.f64 (.f64 a (.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4)))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))
70.0ms	(.f64 (.f64 a (*.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4)))) (pow.f64 k (/.f64 m 2)))
45.0ms	(.f64 a (.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4))))
24.0ms	(*.f64 (pow.f64 k (/.f64 m 4)) (pow.f64 k (/.f64 m 4)))

Compiler

Compiled 3398 to 2435 computations (28.3% saved)

simplify202.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

330×	`associate-r_binary64`
308×	`associate-l_binary64`
287×	`unswap-sqr_binary64`
253×	`distribute-rgt-in_binary64`
236×	`distribute-lft-in_binary64`

Counts

233 → 211

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	292	5406
1	660	4813
2	2608	4385
3	4430	4368
4	4920	4368
5	4956	4368

prune102.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	210	1	211
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	212	4	216

Error

1.6b

Counts

216 → 4

Alt Table

Status	Error	Program
	1.9b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
▶	1.7b	(.f64 (/.f64 (.f64 a (pow.f64 k (/.f64 m 2))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k (/.f64 m 2)) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))))
	2.0b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 (pow.f64 k m) a)))
	1.9b	(/.f64 (.f64 (.f64 (.f64 a (pow.f64 k (/.f64 m 4))) (sqrt.f64 (sqrt.f64 (pow.f64 k m)))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))

Compiler

Compiled 2317 to 1537 computations (33.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 a (pow.f64 k (/.f64 m 2))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))))
0.1b	(.f64 (/.f64 (.f64 a (pow.f64 k (/.f64 m 2))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k (/.f64 m 2)) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))))
17.8b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
17.8b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite273.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

88×	`add-exp-log_binary64`
60×	`times-frac_binary64`
60×	`add-sqr-sqrt_binary64`
48×	`associate-r_binary64`
40×	`*-un-lft-identity_binary64`

Counts

4 → 166

Calls

4 calls:

23.0ms	(.f64 (/.f64 (.f64 a (pow.f64 k (/.f64 m 2))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k (/.f64 m 2)) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))))
6.0ms	(/.f64 (.f64 a (pow.f64 k (/.f64 m 2))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))))
2.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
2.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 6690 to 4874 computations (27.1% saved)

series180.0ms (2.8%)

Error

1.6b

Counts

4 → 40

Calls

4 calls:

62.0ms	(/.f64 (.f64 a (pow.f64 k (/.f64 m 2))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))))
59.0ms	(.f64 (/.f64 (.f64 a (pow.f64 k (/.f64 m 2))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k (/.f64 m 2)) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))))
11.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
9.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 3308 to 2449 computations (26% saved)

simplify173.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-/r/_binary64`
297×	`associate-*l/_binary64`
289×	`associate-l_binary64`
251×	`associate-r_binary64`
232×	`associate-/l*_binary64`

Counts

206 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	8407
1	820	6852
2	3084	6621
3	5182	6621

prune147.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	153	4	157

Error

1.6b

Counts

157 → 4

Alt Table

Status	Error	Program
	1.9b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
	1.7b	(.f64 (/.f64 (.f64 a (pow.f64 k (/.f64 m 2))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k (/.f64 m 2)) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))))
	2.0b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 (pow.f64 k m) a)))
	1.9b	(/.f64 (.f64 (.f64 (.f64 a (pow.f64 k (/.f64 m 4))) (sqrt.f64 (sqrt.f64 (pow.f64 k m)))) (pow.f64 k (/.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))

Compiler

Compiled 3358 to 2393 computations (28.7% saved)

regimes751.0ms (11.5%)

Accuracy

Total 0.1b remaining (3.1%)

Threshold costs 0.1b (3.1%)

Compiler

Compiled 16668 to 11614 computations (30.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	24	31
2	23	31

end1.0ms (0%)

Compiler: Compiled 24 to 17 computations (29.2% saved)

sample1.8s (26.8%)

Algorithm

1×

intervals

Results

672.0ms	8000×	body	128	valid
403.0ms	3193×	body	128	invalid
119.0ms	2004×	body	128	nan

Compiler

Compiled 144 to 103 computations (28.5% saved)

Details

analyze1.4s (20.7%)

sample49.0ms (0.7%)

simplify113.0ms (1.7%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite90.0ms (1.4%)

series96.0ms (1.5%)

simplify109.0ms (1.7%)

prune40.0ms (0.6%)

localize13.0ms (0.2%)

rewrite140.0ms (2.1%)

series210.0ms (3.2%)

simplify121.0ms (1.8%)

prune80.0ms (1.2%)

localize14.0ms (0.2%)

rewrite251.0ms (3.8%)

series250.0ms (3.8%)

simplify202.0ms (3.1%)

prune102.0ms (1.6%)

localize13.0ms (0.2%)

rewrite273.0ms (4.2%)

series180.0ms (2.8%)

simplify173.0ms (2.7%)

prune147.0ms (2.2%)

regimes751.0ms (11.5%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.8s (26.8%)

Profiling