Details

analyze1.1s (19.2%)

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)

sample44.0ms (0.8%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
8.0ms	104×	body	128	invalid
2.0ms	57×	body	128	nan

Compiler

Compiled 40 to 28 computations (30% saved)

simplify116.0ms (2.1%)

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

prune4.0ms (0.1%)

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

3.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	3.2b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

Compiler

Compiled 48 to 33 computations (31.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
3.2b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite114.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

20×	`add-exp-log_binary64`
17×	`add-sqr-sqrt_binary64`
12×	`add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
11×	`associate-r_binary64`
10×	`add-cube-cbrt_binary64`

Counts

3 → 73

Calls

3 calls:

7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
6.0ms	(*.f64 k (+.f64 k 10))
5.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 1419 to 751 computations (47.1% saved)

series160.0ms (2.8%)

Error

3.2b

Counts

3 → 34

Calls

3 calls:

76.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
44.0ms	(*.f64 a (pow.f64 k m))
11.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1760 to 1237 computations (29.7% saved)

simplify120.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

484×	`distribute-rgt-in_binary64`
465×	`distribute-lft-in_binary64`
295×	`associate-/l/_binary64`
285×	`associate-/r/_binary64`
168×	`associate-l_binary64`

Counts

107 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	1982
1	516	1839
2	1923	1763
3	4710	1727
4	4944	1727
5	4990	1727

prune52.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	5	63

Error

3.2b

Counts

63 → 5

Alt Table

Status	Error	Program
	3.3b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
	12.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
	20.1b	(.f64 (/.f64 (.f64 a (pow.f64 k m)) (-.f64 1 (.f64 k (.f64 k (.f64 (+.f64 k 10) (+.f64 k 10)))))) (-.f64 1 (.f64 k (+.f64 k 10))))
	3.7b	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))
▶	3.3b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

Compiler

Compiled 1028 to 586 computations (43% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
3.2b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

rewrite205.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

48×	`add-sqr-sqrt_binary64`
45×	`times-frac_binary64`
38×	`*-un-lft-identity_binary64`
36×	`add-cube-cbrt_binary64`
31×	`associate-r_binary64`

Counts

3 → 120

Calls

3 calls:

12.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
9.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
6.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 2860 to 1684 computations (41.1% saved)

series164.0ms (2.9%)

Error

3.2b

Counts

3 → 35

Calls

3 calls:

76.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
41.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
10.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 2099 to 1529 computations (27.2% saved)

simplify176.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

486×	`distribute-rgt-in_binary64`
465×	`distribute-lft-in_binary64`
411×	`associate-/l/_binary64`
204×	`associate-r_binary64`
202×	`associate-l_binary64`

Counts

155 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	273	3995
1	668	3810
2	2350	3679
3	4878	3607
4	4957	3607
5	4948	3607

prune100.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	97	5	102

Error

3.2b

Counts

102 → 5

Alt Table

Status	Error	Program
▶	3.3b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
	12.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
	20.1b	(.f64 (/.f64 (.f64 a (pow.f64 k m)) (-.f64 1 (.f64 k (.f64 k (.f64 (+.f64 k 10) (+.f64 k 10)))))) (-.f64 1 (.f64 k (+.f64 k 10))))
	3.7b	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))
✓	3.3b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

Compiler

Compiled 1764 to 1010 computations (42.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
15.5b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.5b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite203.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

27×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
25×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
24×	`sqrt-prod_binary64` `times-frac_binary64`
15×	`add-cbrt-cube_binary64`
12×	`associate-/r*_binary64`

Counts

4 → 107

Calls

4 calls:

15.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
6.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 3396 to 2334 computations (31.3% saved)

series193.0ms (3.4%)

Error

3.2b

Counts

4 → 45

Calls

4 calls:

75.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
40.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
14.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
13.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2622 to 1856 computations (29.2% saved)

simplify141.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-/l/_binary64`
527×	`associate-/r*_binary64`
331×	`associate-/r/_binary64`
175×	`distribute-rgt-in_binary64`
168×	`distribute-lft-in_binary64`

Counts

152 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	4220
1	600	3510
2	1917	3425
3	4905	3425
4	4934	3425

prune108.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	95	5	100

Error

3.2b

Counts

100 → 5

Alt Table

Status	Error	Program
✓	3.3b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
	12.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
	20.1b	(.f64 (/.f64 (.f64 a (pow.f64 k m)) (-.f64 1 (.f64 k (.f64 k (.f64 (+.f64 k 10) (+.f64 k 10)))))) (-.f64 1 (.f64 k (+.f64 k 10))))
▶	3.7b	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))
✓	3.3b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

Compiler

Compiled 2125 to 1350 computations (36.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 a)
0.5b	(cbrt.f64 a)
0.5b	(cbrt.f64 a)
3.2b	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite104.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

38×	`add-exp-log_binary64`
18×	`prod-exp_binary64`
16×	`add-cbrt-cube_binary64`
9×	`div-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `cbrt-prod_binary64`
8×	`cbrt-unprod_binary64`

Counts

4 → 66

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

Compiler

Compiled 1859 to 752 computations (59.5% saved)

series151.0ms (2.7%)

Error

3.2b

Counts

4 → 25

Calls

4 calls:

81.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))
17.0ms	(cbrt.f64 a)
16.0ms	(cbrt.f64 a)
16.0ms	(cbrt.f64 a)

Compiler

Compiled 1674 to 1171 computations (30% saved)

simplify95.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

550×	`associate-/l/_binary64`
340×	`unswap-sqr_binary64`
244×	`distribute-rgt-in_binary64`
230×	`distribute-lft-in_binary64`
191×	`associate-r_binary64`

Counts

91 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2400
1	483	1615
2	1984	1539
3	4751	1539
4	4952	1539

prune48.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	65	5	70

Error

3.2b

Counts

70 → 5

Alt Table

Status	Error	Program
	3.3b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
	12.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
	20.1b	(.f64 (/.f64 (.f64 a (pow.f64 k m)) (-.f64 1 (.f64 k (.f64 k (.f64 (+.f64 k 10) (+.f64 k 10)))))) (-.f64 1 (.f64 k (+.f64 k 10))))
	3.7b	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))
	3.3b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

Compiler

Compiled 1059 to 578 computations (45.4% saved)

regimes556.0ms (9.9%)

Accuracy

Total 0.0b remaining (2.7%)

Threshold costs 0.0b (2.7%)

Compiler

Compiled 9176 to 6290 computations (31.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64` `+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	19	22
2	18	22

end1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

sample1.7s (29.4%)

Algorithm

1×

intervals

Results

492.0ms	3226×	body	128	invalid
486.0ms	8000×	body	128	valid
91.0ms	2063×	body	128	nan

Compiler

Compiled 149 to 103 computations (30.9% saved)

Details

analyze1.1s (19.2%)

sample44.0ms (0.8%)

simplify116.0ms (2.1%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite114.0ms (2%)

series160.0ms (2.8%)

simplify120.0ms (2.1%)

prune52.0ms (0.9%)

localize9.0ms (0.2%)

rewrite205.0ms (3.6%)

series164.0ms (2.9%)

simplify176.0ms (3.1%)

prune100.0ms (1.8%)

localize11.0ms (0.2%)

rewrite203.0ms (3.6%)

series193.0ms (3.4%)

simplify141.0ms (2.5%)

prune108.0ms (1.9%)

localize13.0ms (0.2%)

rewrite104.0ms (1.8%)

series151.0ms (2.7%)

simplify95.0ms (1.7%)

prune48.0ms (0.9%)

regimes556.0ms (9.9%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.7s (29.4%)

Profiling