Details

Time bar (total: 9.5s)

sample75.0ms

Algorithm
intervals
Results
51.0ms91×body10240exit
9.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
done78

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite76.0ms

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:
36.0ms
(+ (exp a) (exp b))
37.0ms
(/ (exp a) (+ (exp a) (exp b)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (exp a) (exp b))
57.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify2.2s

Counts
58 → 58
Iterations

Useful iterations: done (2.2s)

IterNodesCost
082646
1184616
2636576
33574575
done5001574

prune187.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
1.3b
(- a (log (+ (exp a) (exp b))))
3.5b
(log (+ (exp a) (exp b)))

rewrite91.0ms

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:
39.0ms
(exp (- a (log (+ (exp a) (exp b)))))
16.0ms
(+ (exp a) (exp b))
15.0ms
(- a (log (+ (exp a) (exp b))))
13.0ms
(log (+ (exp a) (exp b)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(exp (- a (log (+ (exp a) (exp b)))))
34.0ms
(+ (exp a) (exp b))
62.0ms
(- a (log (+ (exp a) (exp b))))
43.0ms
(log (+ (exp a) (exp b)))

simplify1.3s

Counts
118 → 118
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01492147
13271622
212361280
done50001065

prune349.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 1/2 a) (fma b 1/2 (log 2)))
0.1b
(exp (- (* 1/2 a) (fma b 1/2 (log 2))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×prod-diff
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity exp-sum
3×exp-prod
2×pow1 add-exp-log expm1-log1p-u sub-neg diff-log add-cbrt-cube log1p-expm1-u rem-exp-log
1×flip3-- exp-diff fma-neg flip-- fma-udef associate--r+
Counts
2 → 39
Calls
2 calls:
21.0ms
(- (* 1/2 a) (fma b 1/2 (log 2)))
25.0ms
(exp (- (* 1/2 a) (fma b 1/2 (log 2))))

series139.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* 1/2 a) (fma b 1/2 (log 2)))
88.0ms
(exp (- (* 1/2 a) (fma b 1/2 (log 2))))

simplify852.0ms

Counts
45 → 45
Iterations

Useful iterations: done (849.0ms)

IterNodesCost
082773
1182627
2756519
done5001479

prune196.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune1.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.2b

regimes132.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.6s3399×body10240exit
347.0ms8000×body80valid