Details

Time bar (total: 2.0s)

sample28.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
6.0ms110×body80overflowed

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.8b
(/ (exp a) (+ (exp a) (exp b)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
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:
18.0ms
(+ (exp a) (exp b))
36.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify89.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0163384
1486357
21239355
34158355
45001355

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
1.3b
(- a (log (+ (exp a) (exp b))))
4.1b
(log (+ (exp a) (exp b)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
11×add-sqr-sqrt
9×add-log-exp
8×log-prod
7×pow1 add-cube-cbrt
6×log-div exp-prod
5×add-exp-log
4×flip3-+ exp-sum add-cbrt-cube flip-+ associate--r+ distribute-lft-out-- associate--r-
3×log-pow 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 → 68
Calls
4 calls:
4.0ms
(+ (exp a) (exp b))
9.0ms
(exp (- a (log (+ (exp a) (exp b)))))
6.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series138.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (exp a) (exp b))
48.0ms
(exp (- a (log (+ (exp a) (exp b)))))
36.0ms
(- a (log (+ (exp a) (exp b))))
35.0ms
(log (+ (exp a) (exp b)))

simplify89.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (83.0ms)

IterNodesCost
0233551
1543509
21225495
34110491
45001489

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(/ 1 (+ (exp a) (exp b)))
0.7b
(* (exp a) (/ 1 (+ (exp a) (exp b))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
28×add-sqr-sqrt
26×times-frac
21×add-cube-cbrt
18×associate-*r*
12×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r* associate-/r/
3×flip3-+ associate-*l* flip-+ associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
3 → 90
Calls
3 calls:
4.0ms
(+ (exp a) (exp b))
10.0ms
(/ 1 (+ (exp a) (exp b)))
23.0ms
(* (exp a) (/ 1 (+ (exp a) (exp b))))

series73.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (exp a) (exp b))
24.0ms
(/ 1 (+ (exp a) (exp b)))
32.0ms
(* (exp a) (/ 1 (+ (exp a) (exp b))))

simplify81.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0279673
11159593
23644553
35001552

prune160.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize5.0ms

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

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.4b

regimes68.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample781.0ms

Algorithm
intervals
Results
409.0ms8000×body80valid
180.0ms3382×body80overflowed