Details

Time bar (total: 15.5s)

sample99.0ms

Algorithm
intervals
Results
65.0ms112×body10240exit
13.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
done78

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite55.0ms

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:
12.0ms
(+ (exp a) (exp b))
41.0ms
(/ (exp a) (+ (exp a) (exp b)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp a) (exp b))
42.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify3.5s

Counts
58 → 58
Iterations

Useful iterations: 4 (821.0ms)

IterNodesCost
082646
1172616
2403576
3798575
42080574
done5000574

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.5b
(- a (log (+ (exp a) (exp b))))
2.7b
(log (+ (exp a) (exp b)))

rewrite118.0ms

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:
22.0ms
(+ (exp a) (exp b))
41.0ms
(exp (- a (log (+ (exp a) (exp b)))))
30.0ms
(- a (log (+ (exp a) (exp b))))
17.0ms
(log (+ (exp a) (exp b)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (exp a) (exp b))
96.0ms
(exp (- a (log (+ (exp a) (exp b)))))
43.0ms
(- a (log (+ (exp a) (exp b))))
47.0ms
(log (+ (exp a) (exp b)))

simplify2.5s

Counts
118 → 118
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01492147
13101610
26911278
318501056
done50011030

prune328.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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:
17.0ms
(- a (fma 1/2 (+ a b) (log 2)))
0.0ms
(fma 1/2 (+ a b) (log 2))
16.0ms
(exp (- a (fma 1/2 (+ a b) (log 2))))

series182.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- a (fma 1/2 (+ a b) (log 2)))
34.0ms
(fma 1/2 (+ a b) (log 2))
75.0ms
(exp (- a (fma 1/2 (+ a b) (log 2))))

simplify3.9s

Counts
76 → 76
Iterations

Useful iterations: done (3.9s)

IterNodesCost
01061781
12061263
2514986
32190778
done5000754

prune248.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.9b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.9b

regimes111.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
done78

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.4s3395×body10240exit
928.0ms8000×body80valid