Details

Time bar (total: 11.8s)

sample115.0ms

Algorithm
intervals
Results
83.0ms108×body10240exit
12.0ms256×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: 1.3b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube associate-/l*
2×add-exp-log associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
42.0ms
(/ (exp a) (+ (exp a) (exp b)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify1.8s

Counts
36 → 36
Iterations

Useful iterations: 3 (580.0ms)

IterNodesCost
067487
1151465
2527436
33402434
done5001434

prune121.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
0.3b
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
1.2b
(/ (exp a) (+ (exp b) (exp a)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-cbrt-cube
6×add-exp-log
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×pow-unpow associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 141
Calls
3 calls:
33.0ms
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
45.0ms
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
22.0ms
(/ (exp a) (+ (exp b) (exp a)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
44.0ms
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
66.0ms
(/ (exp a) (+ (exp b) (exp a)))

simplify2.1s

Counts
150 → 150
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01602804
15512351
232762151
done50002131

prune364.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.1b

localize14.0ms

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

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 3/16 a) 1/8)
0.0b
(- (+ (* 3/16 a) 1/8) (* 3/16 b))
0.7b
(cbrt (- (+ (* 3/16 a) 1/8) (* 3/16 b)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log cbrt-prod add-cbrt-cube
2×cbrt-div flip3-- diff-log sum-log flip--
1×+-commutative sub-neg flip3-+ pow1/3 associate--l+ flip-+
Counts
3 → 38
Calls
3 calls:
16.0ms
(+ (* 3/16 a) 1/8)
80.0ms
(- (+ (* 3/16 a) 1/8) (* 3/16 b))
23.0ms
(cbrt (- (+ (* 3/16 a) 1/8) (* 3/16 b)))

series266.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (* 3/16 a) 1/8)
34.0ms
(- (+ (* 3/16 a) 1/8) (* 3/16 b))
176.0ms
(cbrt (- (+ (* 3/16 a) 1/8) (* 3/16 b)))

simplify2.6s

Counts
47 → 47
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0106711
1271666
2845623
33750538
done5001520

prune125.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.1b

regimes181.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
done78

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.6s3497×body10240exit
386.0ms8000×body80valid