Details

Time bar (total: 16.3s)

sample58.0ms

Algorithm
intervals
Results
40.0ms105×body10240exit
8.0ms256×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: 0.8b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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:
44.0ms
(+ (exp a) (exp b))
31.0ms
(/ (exp a) (+ (exp a) (exp b)))

series75.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (exp a) (exp b))
49.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify3.2s

Counts
58 → 58
Iterations

Useful iterations: 4 (945.0ms)

IterNodesCost
082646
1172616
2403576
3798575
42080574
done5000574

prune239.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.1b
(- a (log (+ (exp a) (exp b))))
2.6b
(log (+ (exp a) (exp b)))

rewrite74.0ms

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:
11.0ms
(+ (exp a) (exp b))
20.0ms
(exp (- a (log (+ (exp a) (exp b)))))
25.0ms
(- a (log (+ (exp a) (exp b))))
12.0ms
(log (+ (exp a) (exp b)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (exp a) (exp b))
62.0ms
(exp (- a (log (+ (exp a) (exp b)))))
49.0ms
(- a (log (+ (exp a) (exp b))))
49.0ms
(log (+ (exp a) (exp b)))

simplify2.3s

Counts
118 → 118
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01492147
13101610
26911278
318501056
done50011030

prune285.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
16.0ms
(+ (exp a) (exp b))
23.0ms
(/ (exp a) (+ (exp a) (exp b)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (exp a) (exp b))
57.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify2.7s

Counts
58 → 58
Iterations

Useful iterations: 4 (720.0ms)

IterNodesCost
082646
1172616
2403576
3798575
42080574
done5000574

prune215.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
44×prod-diff associate--l+
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
28×exp-sum
22×distribute-rgt-in distribute-lft-in
6×sub-neg
5×add-log-exp
4×pow1
3×log-prod exp-prod associate--r+
2×add-exp-log expm1-log1p-u diff-log log-pow add-cbrt-cube log1p-expm1-u rem-exp-log
1×flip3-- exp-diff fma-neg flip--
Counts
2 → 87
Calls
2 calls:
24.0ms
(- (* 1/2 (- a b)) (log 2))
45.0ms
(exp (- (* 1/2 (- a b)) (log 2)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (* 1/2 (- a b)) (log 2))
78.0ms
(exp (- (* 1/2 (- a b)) (log 2)))

simplify3.8s

Counts
93 → 93
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01791650
13721236
2774964
32597808
done5000622

prune169.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

regimes59.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.9s3430×body10240exit
332.0ms8000×body80valid