Details

sample49.0ms

Algorithm

intervals

Results

34.0ms	92×	body	10240	exit
6.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 0.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

4.0ms	(+ (exp a) (exp b))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (exp a) (exp b))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify95.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	171	405
1	513	376
2	1324	374
3	4489	373
4	5001	373

prune110.0ms

Filtered

58 candidates to 44 candidates (75.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	5	59

Merged error: 0.2b

Counts

59 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (+ (exp a) (exp b)))
0.5b	(* (exp a) (/ 1 (+ (exp a) (exp b))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 99

Calls

3 calls:

4.0ms	(+ (exp a) (exp b))
6.0ms	(/ 1 (+ (exp a) (exp b)))
15.0ms	(* (exp a) (/ 1 (+ (exp a) (exp b))))

series76.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (exp a) (exp b))
23.0ms	(/ 1 (+ (exp a) (exp b)))
31.0ms	(* (exp a) (/ 1 (+ (exp a) (exp b))))

simplify69.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	290	706
1	1196	624
2	3810	583
3	5002	581

prune149.0ms

Filtered

108 candidates to 65 candidates (60.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Merged error: 0.2b

Counts

113 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
0.2b	(expm1 (/ (exp a) (+ (exp a) (exp b))))
0.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
6×	`add-cbrt-cube` `add-log-exp`
5×	`add-exp-log` `log1p-expm1-u` `distribute-lft-out`
4×	`pow1` `expm1-log1p-u` `associate-/r*`
3×	`fma-def` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `div-exp` `clear-num` `sum-log` `div-inv` `expm1-udef`

Counts

4 → 74

Calls

4 calls:

5.0ms	(+ (exp a) (exp b))
1.0ms	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
1.0ms	(expm1 (/ (exp a) (+ (exp a) (exp b))))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (exp a) (exp b))
86.0ms	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
59.0ms	(expm1 (/ (exp a) (+ (exp a) (exp b))))
33.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify47.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	220	608
1	638	552
2	1692	547
3	5002	544

prune165.0ms

Filtered

86 candidates to 61 candidates (70.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	86	5	91

Merged error: 0.2b

Counts

91 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp a) (+ a (+ b 2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
15×	`times-frac`
12×	`distribute-lft-out`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*`
3×	`add-cbrt-cube` `associate-/l*`
2×	`add-exp-log` `associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

7.0ms

(/ (exp a) (+ a (+ b 2)))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(/ (exp a) (+ a (+ b 2)))

simplify43.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	153	284
1	495	265
2	1936	265
3	5002	264

prune69.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	42	5	47

Merged error: 0.2b

Counts

47 → 5

regimes99.0ms

Accuracy

0% (0.2b remaining)

Error of 0.8b against oracle of 0.6b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3537×	body	10240	exit
202.0ms	8000×	body	80	valid