Details

analyze96.0ms (2.2%)

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)

sample34.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	28×	body	128	overflowed

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify7.0ms (0.2%)

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))
✓	0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series37.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite14.0ms (0.3%)

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:

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

simplify84.0ms (1.9%)

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

prune99.0ms (2.2%)

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

0.2b

Counts

109 → 3

Alt Table

Status	Error	Program
	11.9b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	13.8b	(.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)))))
▶	1.1b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))

Compiler

Compiled 2303 to 863 computations (62.5% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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))
✓	0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

series156.0ms (3.5%)

Counts

4 → 64

Calls

4 calls:

87.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
32.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
31.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 164

Calls

4 calls:

8.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
7.0ms	(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))

simplify144.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

434×	`unswap-sqr_binary64`
198×	`sub-neg_binary64`
177×	`associate-/l*_binary64`
172×	`associate-+r+_binary64`
163×	`fma-def_binary64`

Counts

228 → 183

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	6521
1	1013	6054
2	3735	5934
3	5189	5934

prune160.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	183	3	186

Error

0.2b

Counts

186 → 3

Alt Table

Status	Error	Program
▶	11.9b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	13.8b	(.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)))))
✓	1.1b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))

Compiler

Compiled 5339 to 2525 computations (52.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.2%)

Counts

2 → 8

Calls

2 calls:

8.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
2.0ms	(+.f64 1 (exp.f64 b))

rewrite8.0ms (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`
6×	`add-exp-log_binary64`

Counts

2 → 56

Calls

2 calls:

4.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
2.0ms	(+.f64 1 (exp.f64 b))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

561×	`fma-neg_binary64`
525×	`fma-def_binary64`
498×	`unswap-sqr_binary64`
428×	`associate-+l+_binary64`
349×	`cancel-sign-sub-inv_binary64`

Counts

64 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	733
1	185	669
2	382	663
3	887	653
4	2169	653
5	3922	653
6	5318	653

prune64.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	75	3	78

Error

0.2b

Counts

78 → 3

Alt Table

Status	Error	Program
▶	12.2b	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
	13.8b	(.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)))))
✓	1.1b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))

Compiler

Compiled 981 to 704 computations (28.2% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 b))
✓	0.0b	(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
	0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	0.5b	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))

series18.0ms (0.4%)

Counts

2 → 16

Calls

2 calls:

10.0ms	(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
8.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))

rewrite44.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

132×	`sqrt-prod_binary64`
130×	`add-sqr-sqrt_binary64`
117×	`*-un-lft-identity_binary64`
106×	`times-frac_binary64`
50×	`add-cube-cbrt_binary64`

Counts

2 → 174

Calls

2 calls:

19.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
4.0ms	(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))

simplify167.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-neg_binary64`
547×	`fma-def_binary64`
522×	`cancel-sign-sub-inv_binary64`
241×	`associate-l_binary64`
237×	`associate-/l/_binary64`

Counts

190 → 198

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	145	2887
1	290	2705
2	788	2662
3	2304	2577
4	3991	2571
5	4772	2571
6	4971	2571
7	4899	2571

prune394.0ms (8.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	392	1	393
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	393	3	396

Error

0.2b

Counts

396 → 3

Alt Table

Status	Error	Program
	12.6b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 4))
	13.8b	(.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)))))
✓	1.1b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))

Compiler

Compiled 8581 to 6497 computations (24.3% saved)

regimes2.1s (48.5%)

Accuracy

Total 0.3b remaining (44.2%)

Threshold costs 0.3b (44.2%)

Counts

437 → 1

Compiler

Compiled 51191 to 40153 computations (21.6% 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)

sample605.0ms (13.7%)

Algorithm

1×

intervals

Results

285.0ms	8000×	body	128	valid
28.0ms	718×	body	128	overflowed

Compiler

Compiled 99 to 67 computations (32.3% saved)

Details

analyze96.0ms (2.2%)

sample34.0ms (0.8%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series37.0ms (0.8%)

rewrite14.0ms (0.3%)

simplify84.0ms (1.9%)

prune99.0ms (2.2%)

localize7.0ms (0.2%)

series156.0ms (3.5%)

rewrite36.0ms (0.8%)

simplify144.0ms (3.3%)

prune160.0ms (3.6%)

localize4.0ms (0.1%)

series10.0ms (0.2%)

rewrite8.0ms (0.2%)

simplify69.0ms (1.6%)

prune64.0ms (1.5%)

localize5.0ms (0.1%)

series18.0ms (0.4%)

rewrite44.0ms (1%)

simplify167.0ms (3.8%)

prune394.0ms (8.9%)

regimes2.1s (48.5%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample605.0ms (13.7%)

Profiling