Details

Time bar (total: 3.2s)

sample50.0ms

Algorithm
intervals
Results
33.0ms96×body10240exit
6.0ms256×body80valid

simplify4.0ms

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: 1.3b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:
10.0ms
(+ (exp a) (exp b))
22.0ms
(/ (exp a) (+ (exp a) (exp b)))

series48.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ (exp a) (exp b))
32.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify95.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0171405
1513376
21324374
34489373
45001373

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
1.5b
(- a (log (+ (exp a) (exp b))))
4.7b
(log (+ (exp a) (exp b)))

rewrite57.0ms

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:
10.0ms
(+ (exp a) (exp b))
19.0ms
(exp (- a (log (+ (exp a) (exp b)))))
17.0ms
(- a (log (+ (exp a) (exp b))))
8.0ms
(log (+ (exp a) (exp b)))

series121.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (exp a) (exp b))
41.0ms
(exp (- a (log (+ (exp a) (exp b)))))
33.0ms
(- a (log (+ (exp a) (exp b))))
30.0ms
(log (+ (exp a) (exp b)))

simplify84.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
03081330
1791946
22960789
35001691

prune224.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×exp-sum
8×add-log-exp
5×exp-prod
3×pow1 add-exp-log expm1-log1p-u fma-neg add-cbrt-cube log1p-expm1-u
2×sub-neg diff-log fma-udef rem-exp-log distribute-lft-out-- difference-of-squares
1×flip3-- exp-diff flip-- associate--r+
Counts
3 → 67
Calls
3 calls:
0.0ms
(fma b 1/2 (log 2))
7.0ms
(- a (fma a 1/2 (fma b 1/2 (log 2))))
18.0ms
(exp (- a (fma a 1/2 (fma b 1/2 (log 2)))))

series252.0ms

Counts
3 → 9
Calls
3 calls:
161.0ms
(fma b 1/2 (log 2))
42.0ms
(- a (fma a 1/2 (fma b 1/2 (log 2))))
48.0ms
(exp (- a (fma a 1/2 (fma b 1/2 (log 2)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0202830
1570551
23290449
35001444

prune155.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

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: 0.7b

regimes78.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
175

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s3535×body10240exit
184.0ms8000×body80valid