Details

analyze117.0ms (2.5%)

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
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	18×	body	128	overflowed

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13
2	8	13

prune1.0ms (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

0.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
5×	`distribute-lft-out_binary64`

Counts

2 → 45

Calls

2 calls:

5.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 676 to 135 computations (80% saved)

series57.0ms (1.2%)

Error

0.0b

Counts

2 → 23

Calls

2 calls:

25.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1106 to 721 computations (34.8% saved)

simplify99.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

433×	`associate-+l+_binary64`
380×	`sub-neg_binary64`
366×	`times-frac_binary64`
272×	`associate-/l*_binary64`
268×	`associate-+r+_binary64`

Counts

68 → 48

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1561
1	389	1455
2	1138	1441
3	4231	1441
4	4675	1441
5	4995	1441

prune50.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Error

Counts

49 → 4

Alt Table

Status	Error	Program
	1.0b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
▶	0.5b	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))
	16.8b	(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (.f64 1/2 (.f64 a (/.f64 a (+.f64 1 (exp.f64 b))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3))))) (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (.f64 7/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 (.f64 a (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 3/2 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
	10.8b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))

Compiler

Compiled 1127 to 510 computations (54.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)
0.3b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3))
0.5b	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))

rewrite164.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

70×	`*-un-lft-identity_binary64`
70×	`cbrt-prod_binary64`
51×	`times-frac_binary64`
44×	`add-sqr-sqrt_binary64`
44×	`add-cube-cbrt_binary64`

Counts

4 → 149

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3))
8.0ms	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))
4.0ms	(pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)
3.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2558 to 962 computations (62.4% saved)

series124.0ms (2.6%)

Error

Counts

4 → 47

Calls

4 calls:

33.0ms	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))
29.0ms	(pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)
15.0ms	(+.f64 (exp.f64 b) (exp.f64 a))
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3))

Compiler

Compiled 2469 to 1661 computations (32.7% saved)

simplify202.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

736×	`times-frac_binary64`
308×	`associate-+r+_binary64`
296×	`unswap-sqr_binary64`
197×	`+-commutative_binary64`
185×	`exp-prod_binary64`

Counts

196 → 150

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	4719
1	753	4337
2	2732	4318
3	4504	4318
4	4958	4318
5	4981	4318

prune88.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	150	4	154

Error

Counts

154 → 4

Alt Table

Status	Error	Program
▶	1.0b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
✓	0.5b	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))
	16.8b	(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (.f64 1/2 (.f64 a (/.f64 a (+.f64 1 (exp.f64 b))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3))))) (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (.f64 7/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 (.f64 a (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 3/2 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
	10.8b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))

Compiler

Compiled 2040 to 973 computations (52.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
0.4b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite154.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

81×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
47×	`add-sqr-sqrt_binary64`
47×	`add-cube-cbrt_binary64`
42×	`cbrt-prod_binary64`

Counts

4 → 153

Calls

4 calls:

7.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
6.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
5.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
3.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2229 to 681 computations (69.4% saved)

series197.0ms (4.2%)

Error

Counts

4 → 46

Calls

4 calls:

67.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
53.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
28.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
12.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 3695 to 2571 computations (30.4% saved)

simplify189.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

430×	`unswap-sqr_binary64`
254×	`log-prod_binary64`
174×	`sub-neg_binary64`
163×	`associate-+r+_binary64`
159×	`associate-/l*_binary64`

Counts

199 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	5939
1	933	5486
2	3387	5366
3	4708	5366
4	5029	5366

prune76.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	138	4	142

Error

Counts

142 → 4

Alt Table

Status	Error	Program
✓	1.0b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
✓	0.5b	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))
	16.8b	(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (.f64 1/2 (.f64 a (/.f64 a (+.f64 1 (exp.f64 b))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3))))) (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (.f64 7/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 (.f64 a (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 3/2 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
▶	10.8b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))

Compiler

Compiled 2271 to 1230 computations (45.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 a (+.f64 1 (exp.f64 b)))
0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
0.2b	(/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))

rewrite282.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

131×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
68×	`add-sqr-sqrt_binary64`
56×	`add-cube-cbrt_binary64`
31×	`cancel-sign-sub-inv_binary64`

Counts

4 → 186

Calls

4 calls:

44.0ms	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
5.0ms	(/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))
4.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
4.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 5385 to 3499 computations (35% saved)

series98.0ms (2.1%)

Error

Counts

4 → 28

Calls

4 calls:

40.0ms	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
24.0ms	(/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))
14.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
7.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 1443 to 1023 computations (29.1% saved)

simplify169.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

531×	`distribute-rgt-in_binary64`
490×	`distribute-lft-in_binary64`
307×	`associate-/l/_binary64`
154×	`exp-prod_binary64`
149×	`distribute-neg-frac_binary64`

Counts

214 → 203

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	4827
1	691	4530
2	1938	4084
3	4606	4084
4	4930	4084

prune213.0ms (4.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	203	4	207

Error

Counts

207 → 4

Alt Table

Status	Error	Program
	1.0b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
	0.5b	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))
	16.8b	(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (.f64 1/2 (.f64 a (/.f64 a (+.f64 1 (exp.f64 b))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3))))) (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (.f64 7/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 (.f64 a (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 3/2 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
	10.8b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))

Compiler

Compiled 3108 to 2041 computations (34.3% saved)

regimes1.7s (35.4%)

Accuracy

Total 0.4b remaining (59.7%)

Threshold costs 0.4b (59.7%)

Compiler

Compiled 34458 to 21525 computations (37.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	12	15
2	17	15
3	19	15
4	20	15
5	20	15

end0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample622.0ms (13.3%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	128	valid
19.0ms	681×	body	128	overflowed

Compiler

Compiled 177 to 124 computations (29.9% saved)

Details

analyze117.0ms (2.5%)

sample17.0ms (0.4%)

simplify9.0ms (0.2%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite48.0ms (1%)

series57.0ms (1.2%)

simplify99.0ms (2.1%)

prune50.0ms (1.1%)

localize7.0ms (0.2%)

rewrite164.0ms (3.5%)

series124.0ms (2.6%)

simplify202.0ms (4.3%)

prune88.0ms (1.9%)

localize14.0ms (0.3%)

rewrite154.0ms (3.3%)

series197.0ms (4.2%)

simplify189.0ms (4.1%)

prune76.0ms (1.6%)

localize12.0ms (0.3%)

rewrite282.0ms (6%)

series98.0ms (2.1%)

simplify169.0ms (3.6%)

prune213.0ms (4.6%)

regimes1.7s (35.4%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample622.0ms (13.3%)

Profiling