Details

Time bar (total: 2.9s)

sample61.0ms

Algorithm
intervals
Results
46.0ms119×body10240exit
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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)))

series53.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (exp a) (exp b))
31.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify92.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0171405
1513376
21324374
34489373
45001373

prune122.0ms

Filtered
58 candidates to 44 candidates (75.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
0.1b
(- a (log (+ (exp a) (exp b))))
2.5b
(log (+ (exp a) (exp b)))

rewrite29.0ms

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:
6.0ms
(exp (- a (log (+ (exp a) (exp b)))))
5.0ms
(+ (exp a) (exp b))
11.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(exp (- a (log (+ (exp a) (exp b)))))
23.0ms
(+ (exp a) (exp b))
31.0ms
(- a (log (+ (exp a) (exp b))))
32.0ms
(log (+ (exp a) (exp b)))

simplify80.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
03081330
1791946
22960789
35001691

prune237.0ms

Filtered
118 candidates to 70 candidates (59.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

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:
2.0ms
(exp (fma 1/2 (- a b) (- 0 (log 2))))
1.0ms
(fma 1/2 (- a b) (- 0 (log 2)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(exp (fma 1/2 (- a b) (- 0 (log 2))))
40.0ms
(fma 1/2 (- a b) (- 0 (log 2)))

simplify98.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
087195
1197171
2785157
33578152
45001152

prune78.0ms

Filtered
30 candidates to 24 candidates (80.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.5b

regimes90.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s3589×body10240exit
188.0ms8000×body80valid