Details

sample51.0ms

Algorithm

intervals

Results

35.0ms	87×	body	10240	exit
6.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.2b	(/ (exp a) (+ (exp a) (exp b)))

rewrite14.0ms

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))
8.0ms	(/ (exp a) (+ (exp a) (exp b)))

series55.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp a) (exp b))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify99.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (38.0ms)

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

prune139.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.5b	(- a (log (+ (exp a) (exp b))))
2.7b	(log (+ (exp a) (exp b)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
8×	`pow1` `log-prod`
6×	`add-log-exp`
5×	`log-pow`
4×	`add-exp-log` `log-div` `associate--r+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `fma-neg` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`distribute-lft-out--` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

4.0ms	(+ (exp a) (exp b))
7.0ms	(- a (log (+ (exp a) (exp b))))
7.0ms	(log (+ (exp a) (exp b)))

series89.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp a) (exp b))
32.0ms	(- a (log (+ (exp a) (exp b))))
33.0ms	(log (+ (exp a) (exp b)))

simplify68.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	239	776
1	611	565
2	2217	556
3	5001	449

prune200.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.2b	(expm1 (/ (exp a) (+ (exp a) (exp b))))
1.2b	(/ (exp a) (+ (exp a) (exp b)))

rewrite18.0ms

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:

0.0ms	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
0.0ms	(expm1 (/ (exp a) (+ (exp a) (exp b))))
11.0ms	(/ (exp a) (+ (exp a) (exp b)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
18.0ms	(+ (exp a) (exp b))
67.0ms	(expm1 (/ (exp a) (+ (exp a) (exp b))))
33.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (44.0ms)

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

prune231.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (fma 1/2 (- a b) (- (log 2))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`exp-prod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `exp-sum` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `rem-exp-log`

Counts

1 → 14

Calls

1 calls:

1.0ms

(exp (fma 1/2 (- a b) (- (log 2))))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(exp (fma 1/2 (- a b) (- (log 2))))

simplify52.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 4 (49.0ms)

Iter	Nodes	Cost
0	62	118
1	141	103
2	492	96
3	1877	94
4	5001	89

prune43.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes109.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3291×	body	10240	exit
198.0ms	8000×	body	80	valid