Details

analyze1.1s (22.2%)

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)

sample45.0ms (0.9%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
7.0ms	81×	body	128	invalid
3.0ms	68×	body	128	nan

Compiler

Compiled 40 to 28 computations (30% saved)

simplify120.0ms (2.4%)

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

2.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	2.0b	(/.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 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(*.f64 k (+.f64 k 10))
2.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite111.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

21×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64` `associate-r_binary64`
7×	`prod-exp_binary64`

Counts

4 → 86

Calls

4 calls:

6.0ms	(/.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))
3.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

Compiler

Compiled 1693 to 910 computations (46.2% saved)

series182.0ms (3.6%)

Error

2.0b

Counts

4 → 44

Calls

4 calls:

80.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
44.0ms	(*.f64 a (pow.f64 k m))
16.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))
11.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 2057 to 1416 computations (31.2% saved)

simplify133.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

511×	`distribute-rgt-in_binary64`
498×	`distribute-lft-in_binary64`
295×	`associate-/l/_binary64`
182×	`associate-r_binary64`
181×	`associate-l_binary64`

Counts

130 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2308
1	555	2138
2	2058	2047
3	4753	2015
4	4980	2015
5	4945	2015

prune59.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Error

2.0b

Counts

78 → 3

Alt Table

Status	Error	Program
✓	2.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
▶	2.0b	(/.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)))))
	12.8b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))

Compiler

Compiled 1094 to 601 computations (45.1% saved)

localize12.0ms (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)))))
15.2b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.2b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite167.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

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:

12.0ms	(/.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)))))
8.0ms	(/.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)

series201.0ms (4%)

Error

2.0b

Counts

4 → 49

Calls

4 calls:

77.0ms	(/.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)))))
43.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
16.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2880 to 2021 computations (29.8% saved)

simplify111.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-/l/_binary64`
527×	`associate-/r*_binary64`
331×	`associate-/r/_binary64`
202×	`cancel-sign-sub-inv_binary64`
175×	`distribute-rgt-in_binary64`

Counts

156 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	4318
1	635	3599
2	2020	3495
3	5047	3495

prune92.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Error

2.0b

Counts

102 → 3

Alt Table

Status	Error	Program
✓	2.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
✓	2.0b	(/.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)))))
▶	12.8b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))

Compiler

Compiled 2121 to 1340 computations (36.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite75.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

18×	`add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`associate-r_binary64`

Counts

3 → 61

Calls

3 calls:

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

Compiler

Compiled 1099 to 604 computations (45% saved)

series123.0ms (2.4%)

Error

2.0b

Counts

3 → 30

Calls

3 calls:

56.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
44.0ms	(*.f64 a (pow.f64 k m))
9.0ms	(+.f64 1 (*.f64 k 10))

Compiler

Compiled 1221 to 831 computations (31.9% saved)

simplify126.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

329×	`*-commutative_binary64`
324×	`associate-/r*_binary64`
301×	`associate-*l/_binary64`
238×	`associate-/l/_binary64`
237×	`associate-*r/_binary64`

Counts

91 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	1434
1	385	1285
2	1312	1254
3	3331	1230
4	4598	1230
5	4965	1230
6	4940	1230

prune44.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	63	3	66

Error

2.0b

Counts

66 → 3

Alt Table

Status	Error	Program
✓	2.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
✓	2.0b	(/.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)))))
▶	22.0b	(/.f64 (.f64 a (pow.f64 k m)) (exp.f64 (log.f64 (+.f64 (.f64 k 10) 1))))

Compiler

Compiled 765 to 457 computations (40.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.1b	(/.f64 (.f64 a (pow.f64 k m)) (exp.f64 (log.f64 (+.f64 (.f64 k 10) 1))))
2.2b	(exp.f64 (log.f64 (+.f64 (*.f64 k 10) 1)))
4.4b	(log.f64 (+.f64 (*.f64 k 10) 1))

rewrite113.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

19×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`log-prod_binary64`
11×	`add-cbrt-cube_binary64`

Counts

4 → 87

Calls

4 calls:

10.0ms	(/.f64 (.f64 a (pow.f64 k m)) (exp.f64 (log.f64 (+.f64 (.f64 k 10) 1))))
5.0ms	(*.f64 a (pow.f64 k m))
5.0ms	(exp.f64 (log.f64 (+.f64 (*.f64 k 10) 1)))
4.0ms	(log.f64 (+.f64 (*.f64 k 10) 1))

Compiler

Compiled 1783 to 1128 computations (36.7% saved)

series177.0ms (3.5%)

Error

2.0b

Counts

4 → 34

Calls

4 calls:

78.0ms	(/.f64 (.f64 a (pow.f64 k m)) (exp.f64 (log.f64 (+.f64 (.f64 k 10) 1))))
45.0ms	(*.f64 a (pow.f64 k m))
19.0ms	(exp.f64 (log.f64 (+.f64 (*.f64 k 10) 1)))
11.0ms	(log.f64 (+.f64 (*.f64 k 10) 1))

Compiler

Compiled 1686 to 1213 computations (28.1% saved)

simplify149.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

896×	`times-frac_binary64`
313×	`associate-/r*_binary64`
293×	`associate-*l/_binary64`
253×	`associate-/l/_binary64`
216×	`associate-*r/_binary64`

Counts

121 → 88

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	203	1951
1	421	1730
2	1370	1686
3	4270	1686
4	4919	1680
5	4980	1680
6	4954	1680

prune65.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	88	3	91

Error

2.0b

Counts

91 → 3

Alt Table

Status	Error	Program
	2.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
	22.0b	(/.f64 (.f64 a (pow.f64 k m)) (exp.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (.f64 10 k) 1))))))
	2.0b	(/.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)))))

Compiler

Compiled 1144 to 715 computations (37.5% saved)

regimes328.0ms (6.5%)

Accuracy

Total 0.0b remaining (1.1%)

Threshold costs 0.0b (1.1%)

Compiler

Compiled 4416 to 3110 computations (29.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	17	19
2	16	19

end1.0ms (0%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

sample1.5s (28.9%)

Algorithm

1×

intervals

Results

525.0ms	8000×	body	128	valid
272.0ms	3098×	body	128	invalid
93.0ms	1981×	body	128	nan

Compiler

Compiled 98 to 71 computations (27.6% saved)

Details

analyze1.1s (22.2%)

sample45.0ms (0.9%)

simplify120.0ms (2.4%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite111.0ms (2.2%)

series182.0ms (3.6%)

simplify133.0ms (2.6%)

prune59.0ms (1.2%)

localize12.0ms (0.2%)

rewrite167.0ms (3.3%)

series201.0ms (4%)

simplify111.0ms (2.2%)

prune92.0ms (1.8%)

localize8.0ms (0.2%)

rewrite75.0ms (1.5%)

series123.0ms (2.4%)

simplify126.0ms (2.5%)

prune44.0ms (0.9%)

localize11.0ms (0.2%)

rewrite113.0ms (2.2%)

series177.0ms (3.5%)

simplify149.0ms (2.9%)

prune65.0ms (1.3%)

regimes328.0ms (6.5%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.5s (28.9%)

Profiling