Details

analyze102.0ms (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
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)

sample33.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	27×	body	128	overflowed

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series35.0ms (0.7%)

Counts

2 → 48

Calls

2 calls:

31.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 52

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))

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg_binary64`
536×	`times-frac_binary64`
493×	`fma-def_binary64`
389×	`associate-/l*_binary64`
245×	`associate-/r*_binary64`

Counts

100 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1981
1	449	1869
2	1403	1853
3	4915	1853
4	5640	1853

prune90.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	3	109

Error

Counts

109 → 3

Alt Table

Status	Error	Program
▶	0.8b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
	17.1b	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
	10.3b	(-.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 2333 to 881 computations (62.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.1b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
	0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series85.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

53.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
31.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`exp-prod_binary64`
31×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
19×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`

Counts

2 → 60

Calls

2 calls:

6.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

402×	`associate-/l/_binary64`
252×	`cancel-sign-sub-inv_binary64`
210×	`distribute-rgt-in_binary64`
205×	`associate-/l*_binary64`
178×	`distribute-lft-in_binary64`

Counts

108 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	3424
1	742	3268
2	2784	3138
3	4982	3138

prune209.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	234	3	237

Error

Counts

237 → 3

Alt Table

Status	Error	Program
✓	0.8b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
	17.1b	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
▶	10.3b	(-.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 6856 to 2907 computations (57.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 a (+.f64 1 (exp.f64 b)))
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 b)) 2)
✓	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)))

series120.0ms (2.3%)

Counts

4 → 28

Calls

4 calls:

88.0ms	(-.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)))
20.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
8.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
4.0ms	(pow.f64 (+.f64 1 (exp.f64 b)) 2)

rewrite353.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Rules

1593×	`*-un-lft-identity_binary64`
1007×	`times-frac_binary64`
558×	`prod-diff_binary64`
493×	`distribute-lft-out_binary64`
436×	`add-sqr-sqrt_binary64`

Counts

4 → 736

Calls

4 calls:

105.0ms	(-.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)))
4.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
4.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
3.0ms	(pow.f64 (+.f64 1 (exp.f64 b)) 2)

simplify971.0ms (18.7%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-neg_binary64`
263×	`fma-udef_binary64`
239×	`distribute-rgt-neg-in_binary64`
212×	`distribute-neg-frac_binary64`
203×	`sub-neg_binary64`

Counts

764 → 551

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	637	49334
1	1431	31283
2	2997	22355
3	4467	22351
4	4987	22351
5	4780	22351

prune804.0ms (15.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	551	0	551
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	551	3	554

Error

Counts

554 → 3

Alt Table

Status	Error	Program
✓	0.8b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
▶	17.1b	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
✓	10.3b	(-.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 34598 to 22594 computations (34.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (exp.f64 a) (exp.f64 b))
✓	0.3b	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
✓	0.5b	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
✓	3.7b	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))

series385.0ms (7.4%)

Counts

4 → 92

Calls

4 calls:

235.0ms	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
128.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
15.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(*.f64 (exp.f64 a) (exp.f64 b))

rewrite65.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

106×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
41×	`add-sqr-sqrt_binary64`
36×	`associate-l_binary64`
35×	`distribute-lft-out_binary64`

Counts

4 → 153

Calls

4 calls:

25.0ms	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
12.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
5.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(*.f64 (exp.f64 a) (exp.f64 b))

simplify159.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-def_binary64`
337×	`associate-/l*_binary64`
274×	`times-frac_binary64`
222×	`associate-*l/_binary64`
193×	`distribute-rgt-in_binary64`

Counts

245 → 275

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	562	9900
1	1791	9310
2	4985	9310

prune312.0ms (6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	275	3	278

Error

Counts

278 → 3

Alt Table

Status	Error	Program
✓	0.8b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	17.1b	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
✓	10.3b	(-.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 14795 to 6263 computations (57.7% saved)

regimes573.0ms (11%)

Accuracy

Total 0.3b remaining (65.4%)

Threshold costs 0.3b (65.4%)

Counts

123 → 1

Compiler

Compiled 13216 to 8560 computations (35.2% saved)

simplify3.0ms (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

end1.0ms (0%)

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

sample646.0ms (12.4%)

Algorithm

1×

intervals

Results

315.0ms	8000×	body	128	valid
19.0ms	653×	body	128	overflowed

Compiler

Compiled 92 to 58 computations (37% saved)

Details

analyze102.0ms (2%)

sample33.0ms (0.6%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series35.0ms (0.7%)

rewrite11.0ms (0.2%)

simplify86.0ms (1.7%)

prune90.0ms (1.7%)

localize8.0ms (0.2%)

series85.0ms (1.6%)

rewrite16.0ms (0.3%)

simplify87.0ms (1.7%)

prune209.0ms (4%)

localize9.0ms (0.2%)

series120.0ms (2.3%)

rewrite353.0ms (6.8%)

simplify971.0ms (18.7%)

prune804.0ms (15.5%)

localize14.0ms (0.3%)

series385.0ms (7.4%)

rewrite65.0ms (1.3%)

simplify159.0ms (3.1%)

prune312.0ms (6%)

regimes573.0ms (11%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample646.0ms (12.4%)

Profiling