Details

analyze1.5s (24.4%)

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)

sample79.0ms (1.3%)

Algorithm

1×

intervals

Results

49.0ms	256×	body	128	valid
10.0ms	92×	body	128	invalid
5.0ms	75×	body	128	nan

Compiler

Compiled 40 to 28 computations (30% saved)

simplify113.0ms (1.9%)

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: 2 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	18
2	55	17
3	104	17
4	225	17
5	591	17
6	1774	17
7	2466	17
8	2534	17
9	2692	17
10	2908	17
11	3166	17
12	3656	17
13	4497	17
14	5019	17

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

2.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	2.3b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Compiler

Compiled 51 to 34 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 10 k))
0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
0.0b	(*.f64 a (pow.f64 k m))
2.3b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

rewrite121.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

19×	`add-exp-log_binary64`
16×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`

Counts

4 → 88

Calls

4 calls:

6.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
5.0ms	(*.f64 a (pow.f64 k m))
4.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
2.0ms	(+.f64 1 (*.f64 10 k))

Compiler

Compiled 1989 to 971 computations (51.2% saved)

series151.0ms (2.5%)

Error

2.3b

Counts

4 → 40

Calls

4 calls:

63.0ms	(*.f64 a (pow.f64 k m))
51.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
10.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
7.0ms	(+.f64 1 (*.f64 10 k))

Compiler

Compiled 1907 to 1235 computations (35.2% saved)

simplify120.0ms (2%)

Algorithm

1×	egg-herbie

Rules

868×	`times-frac_binary64`
788×	`fma-def_binary64`
315×	`fma-neg_binary64`
224×	`cancel-sign-sub-inv_binary64`
179×	`associate-r_binary64`

Counts

128 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2298
1	541	2016
2	2060	1902
3	4464	1902
4	4888	1902
5	4945	1902

prune59.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	4	99

Error

0.0b

Counts

99 → 4

Alt Table

Status	Error	Program
✓	2.3b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
▶	15.5b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)) 3))
	20.4b	(*.f64 (/.f64 a k) (/.f64 (pow.f64 k m) (+.f64 k 10)))
	27.5b	(fma.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 1265 to 665 computations (47.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)) 3)
2.3b	(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))
14.4b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)) 3))

rewrite105.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-exp-log_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`cbrt-prod_binary64`
19×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`

Counts

4 → 124

Calls

4 calls:

6.0ms	(*.f64 a (pow.f64 k m))
5.0ms	(pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)) 3)
4.0ms	(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))
3.0ms	(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)) 3))

Compiler

Compiled 2513 to 1420 computations (43.5% saved)

series303.0ms (5%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

98.0ms	(pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)) 3)
86.0ms	(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)) 3))
54.0ms	(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))
35.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 3857 to 2666 computations (30.9% saved)

simplify176.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

386×	`fma-neg_binary64`
358×	`associate-r_binary64`
248×	`associate-l_binary64`
192×	`associate-/l*_binary64`
182×	`log-prod_binary64`

Counts

177 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	4387
1	805	3886
2	3581	3838
3	4900	3838
4	4938	3838

prune43.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	131	4	135

Error

0.0b

Counts

135 → 4

Alt Table

Status	Error	Program
✓	2.3b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
✓	15.5b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)) 3))
▶	20.4b	(*.f64 (/.f64 a k) (/.f64 (pow.f64 k m) (+.f64 k 10)))
	27.5b	(fma.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 1292 to 728 computations (43.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (pow.f64 k m) (+.f64 k 10))
4.0b	(*.f64 (/.f64 a k) (/.f64 (pow.f64 k m) (+.f64 k 10)))

rewrite130.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

75×	`times-frac_binary64`
73×	`*-un-lft-identity_binary64`
67×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
34×	`associate-r_binary64`

Counts

2 → 138

Calls

2 calls:

16.0ms	(*.f64 (/.f64 a k) (/.f64 (pow.f64 k m) (+.f64 k 10)))
5.0ms	(/.f64 (pow.f64 k m) (+.f64 k 10))

Compiler

Compiled 2515 to 1155 computations (54.1% saved)

series69.0ms (1.1%)

Error

0.0b

Counts

2 → 19

Calls

2 calls:

40.0ms	(*.f64 (/.f64 a k) (/.f64 (pow.f64 k m) (+.f64 k 10)))
17.0ms	(/.f64 (pow.f64 k m) (+.f64 k 10))

Compiler

Compiled 1049 to 701 computations (33.2% saved)

simplify128.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

867×	`times-frac_binary64`
481×	`associate-/r*_binary64`
391×	`associate-/r/_binary64`
222×	`associate-*r/_binary64`
214×	`associate-*l/_binary64`

Counts

157 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	3302
1	649	3072
2	2211	3024
3	4901	3024
4	5016	3024

prune62.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	108	6	114

Error

0.0b

Counts

114 → 6

Alt Table

Status	Error	Program
▶	16.6b	(/.f64 (/.f64 (*.f64 a (pow.f64 k m)) k) (+.f64 k 10))
✓	2.3b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
	20.4b	(.f64 (.f64 (cbrt.f64 (/.f64 a k)) (cbrt.f64 (/.f64 a k))) (*.f64 (/.f64 (pow.f64 k m) (+.f64 k 10)) (cbrt.f64 (/.f64 a k))))
✓	15.5b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)) 3))
	33.4b	(.f64 (/.f64 1 (sqrt.f64 k)) (.f64 (/.f64 (pow.f64 k m) (+.f64 k 10)) (/.f64 a (sqrt.f64 k))))
	27.5b	(fma.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 1331 to 618 computations (53.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite119.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

46×	`times-frac_binary64`
42×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64`
31×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`

Counts

3 → 114

Calls

3 calls:

7.0ms	(/.f64 (/.f64 (*.f64 a (pow.f64 k m)) k) (+.f64 k 10))
7.0ms	(*.f64 a (pow.f64 k m))
4.0ms	(/.f64 (*.f64 a (pow.f64 k m)) k)

Compiler

Compiled 1939 to 746 computations (61.5% saved)

series123.0ms (2%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

44.0ms	(/.f64 (/.f64 (*.f64 a (pow.f64 k m)) k) (+.f64 k 10))
39.0ms	(/.f64 (*.f64 a (pow.f64 k m)) k)
30.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 1521 to 1006 computations (33.9% saved)

simplify140.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-def_binary64`
615×	`associate-/r/_binary64`
449×	`*-commutative_binary64`
333×	`fma-neg_binary64`
214×	`associate-/l*_binary64`

Counts

147 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	2898
1	548	2667
2	2071	2640
3	3757	2634
4	4874	2634
5	4956	2634

prune40.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	97	7	104

Error

0.0b

Counts

104 → 7

Alt Table

Status	Error	Program
✓	16.6b	(/.f64 (/.f64 (*.f64 a (pow.f64 k m)) k) (+.f64 k 10))
	33.4b	(/.f64 (/.f64 (*.f64 (pow.f64 k m) (/.f64 a (sqrt.f64 k))) (sqrt.f64 k)) (+.f64 k 10))
✓	2.3b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
	20.0b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) k) 3)) (+.f64 k 10))
✓	15.5b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)) 3))
	33.4b	(.f64 (/.f64 1 (sqrt.f64 k)) (.f64 (/.f64 (pow.f64 k m) (+.f64 k 10)) (/.f64 a (sqrt.f64 k))))
	27.5b	(fma.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 944 to 460 computations (51.3% saved)

regimes804.0ms (13.3%)

Accuracy

Total 0.5b remaining (96.7%)

Threshold costs 0.5b (96.7%)

Compiler

Compiled 12094 to 7951 computations (34.3% saved)

bsearch5.0ms (0.1%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	114
1	41	114
2	40	114

end1.0ms (0%)

Compiler: Compiled 80 to 45 computations (43.8% saved)

sample1.6s (27.1%)

Algorithm

1×

intervals

Results

625.0ms	8000×	body	128	valid
348.0ms	3277×	body	128	invalid
112.0ms	2084×	body	128	nan

Compiler

Compiled 231 to 147 computations (36.4% saved)

Details

analyze1.5s (24.4%)

sample79.0ms (1.3%)

simplify113.0ms (1.9%)

prune3.0ms (0%)

localize10.0ms (0.2%)

rewrite121.0ms (2%)

series151.0ms (2.5%)

simplify120.0ms (2%)

prune59.0ms (1%)

localize11.0ms (0.2%)

rewrite105.0ms (1.7%)

series303.0ms (5%)

simplify176.0ms (2.9%)

prune43.0ms (0.7%)

localize8.0ms (0.1%)

rewrite130.0ms (2.2%)

series69.0ms (1.1%)

simplify128.0ms (2.1%)

prune62.0ms (1%)

localize7.0ms (0.1%)

rewrite119.0ms (2%)

series123.0ms (2%)

simplify140.0ms (2.3%)

prune40.0ms (0.7%)

regimes804.0ms (13.3%)

bsearch5.0ms (0.1%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.6s (27.1%)

Profiling