Details

sample71.0ms

Algorithm

intervals

Results

50.0ms	118×	body	10240	exit
11.0ms	256×	body	80	valid

simplify4.0ms

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: 1.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite16.0ms

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:

5.0ms	(+ (exp a) (exp b))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify98.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (36.0ms)

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

prune132.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.0b	(- a (log (+ (exp a) (exp b))))
3.7b	(log (+ (exp a) (exp b)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

14.0ms	(exp (- a (log (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(exp (- a (log (+ (exp a) (exp b)))))
22.0ms	(+ (exp a) (exp b))
33.0ms	(- a (log (+ (exp a) (exp b))))
33.0ms	(log (+ (exp a) (exp b)))

simplify82.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	308	1330
1	791	946
2	2960	789
3	5001	691

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.7b	(log (/ (exp a) (+ (exp a) (exp b))))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`exp-sum`
11×	`distribute-lft-out`
7×	`add-exp-log`
6×	`pow1` `associate-/r/` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `exp-prod` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
3×	`fma-def` `div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `exp-diff` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 116

Calls

4 calls:

9.0ms	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
5.0ms	(+ (exp a) (exp b))
6.0ms	(log (/ (exp a) (+ (exp a) (exp b))))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
21.0ms	(+ (exp a) (exp b))
49.0ms	(log (/ (exp a) (+ (exp a) (exp b))))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	298	1087
1	861	1022
2	2245	989
3	5001	957

prune316.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 1 expressions with local error:

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

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 1/2)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify139.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	53	87
1	110	78
2	249	78
3	946	77
4	4642	77
5	5001	77

prune39.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

regimes93.0ms

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

sample2.0s

Algorithm

intervals

Results

1.4s	3518×	body	10240	exit
346.0ms	8000×	body	80	valid