Details

sample57.0ms

Algorithm

intervals

Results

40.0ms	89×	body	10240	exit
5.0ms	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:

10.0ms	(+ (exp a) (exp b))
20.0ms	(/ (exp a) (+ (exp a) (exp b)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (exp a) (exp b))
38.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify89.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (31.0ms)

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

prune135.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

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)))

rewrite34.0ms

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:

11.0ms	(+ (exp a) (exp b))
0.0ms	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
0.0ms	(expm1 (/ (exp a) (+ (exp a) (exp b))))
21.0ms	(/ (exp a) (+ (exp a) (exp b)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (exp a) (exp b))
65.0ms	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
63.0ms	(expm1 (/ (exp a) (+ (exp a) (exp b))))
39.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify45.0ms

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

prune229.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.0b	(log1p (expm1 (/ 1 (/ (+ (exp a) (exp b)) (exp a)))))
0.2b	(expm1 (/ 1 (/ (+ (exp a) (exp b)) (exp a))))
0.5b	(/ (+ (exp a) (exp b)) (exp a))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
13×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`pow1` `log1p-expm1-u`
4×	`cbrt-undiv` `expm1-log1p-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`log1p-udef` `expm1-log1p` `pow-flip` `flip3-+` `log1p-expm1` `associate-/r/` `flip-+` `inv-pow` `expm1-udef`

Counts

4 → 147

Calls

4 calls:

27.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.0ms	(log1p (expm1 (/ 1 (/ (+ (exp a) (exp b)) (exp a)))))
0.0ms	(expm1 (/ 1 (/ (+ (exp a) (exp b)) (exp a))))
30.0ms	(/ (+ (exp a) (exp b)) (exp a))

series197.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
61.0ms	(log1p (expm1 (/ 1 (/ (+ (exp a) (exp b)) (exp a)))))
67.0ms	(expm1 (/ 1 (/ (+ (exp a) (exp b)) (exp a))))
31.0ms	(/ (+ (exp a) (exp b)) (exp a))

simplify44.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	430	1602
1	1733	1431
2	5001	1328

prune305.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (exp a) (exp b)))
0.3b	(cbrt (+ (exp a) (exp b)))
0.5b	(/ (cbrt (+ (exp a) (exp b))) (cbrt (exp a)))
0.5b	(/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
54×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-exp-log` `cbrt-div`
10×	`associate-/l/`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube` `associate-/l*`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `frac-times` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `pow1/3` `associate-r/` `associate-l/` `clear-num` `div-inv`

Counts

4 → 134

Calls

4 calls:

7.0ms	(cbrt (+ (exp a) (exp b)))
7.0ms	(cbrt (+ (exp a) (exp b)))
26.0ms	(/ (cbrt (+ (exp a) (exp b))) (cbrt (exp a)))
37.0ms	(/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (+ (exp a) (exp b)))
64.0ms	(cbrt (+ (exp a) (exp b)))
81.0ms	(/ (cbrt (+ (exp a) (exp b))) (cbrt (exp a)))
111.0ms	(/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))))

simplify46.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	417	1858
1	1477	1692
2	5002	1656

prune555.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes76.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s	3319×	body	10240	exit
195.0ms	8000×	body	80	valid