Details

Time bar (total: 1.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms104×body80overflowed

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
075
175

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.3b
(/ (exp a) (+ (exp a) (exp b)))

rewrite15.0ms

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))
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)))

simplify99.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0171405
1513376
21324374
34489373
45001373

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

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))
0.7b
(- a (log (+ (exp a) (exp b))))
3.0b
(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:
11.0ms
(exp (- a (log (+ (exp a) (exp b)))))
8.0ms
(+ (exp a) (exp b))
7.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series134.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(exp (- a (log (+ (exp a) (exp b)))))
24.0ms
(+ (exp a) (exp b))
32.0ms
(- a (log (+ (exp a) (exp b))))
32.0ms
(log (+ (exp a) (exp b)))

simplify85.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
03081330
1791946
22960789
35001691

prune245.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1/2 (- a b) (- 0 (log 2)))
0.0b
(exp (fma 1/2 (- a b) (- 0 (log 2))))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt exp-prod *-un-lft-identity add-log-exp
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
1×exp-sum rem-exp-log
Counts
2 → 24
Calls
2 calls:
0.0ms
(fma 1/2 (- a b) (- 0 (log 2)))
1.0ms
(exp (fma 1/2 (- a b) (- 0 (log 2))))

series91.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(fma 1/2 (- a b) (- 0 (log 2)))
54.0ms
(exp (fma 1/2 (- a b) (- 0 (log 2))))

simplify101.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
087195
1197171
2785157
33580152
45001152

prune82.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.1b 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)

IterNodesCost
096
196

end0.0ms

sample453.0ms

Algorithm
intervals
Results
191.0ms8000×body80valid
80.0ms3389×body80overflowed