Details

Time bar (total: 11.1s)

sample88.0ms

Algorithm
intervals
Results
60.0ms108×body10240exit
10.0ms256×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

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite56.0ms

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 expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
55.0ms
(/ (exp a) (+ (exp a) (exp b)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify2.1s

Counts
38 → 38
Iterations

Useful iterations: done (2.1s)

IterNodesCost
069505
1155482
2550455
33523452
done5000451

prune111.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.2b

localize15.0ms

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)))

rewrite91.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 147
Calls
3 calls:
28.0ms
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
29.0ms
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
22.0ms
(/ (exp a) (+ (exp b) (exp a)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
56.0ms
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
44.0ms
(/ (exp a) (+ (exp b) (exp a)))

simplify2.4s

Counts
156 → 156
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01662868
15622406
233172202
done50002179

prune431.0ms

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

simplify7.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune5.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma -3/16 b (fma 3/16 a 1/8))
0.1b
(fma 3/16 a 1/8)
0.7b
(cbrt (fma -3/16 b (fma 3/16 a 1/8)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log cbrt-prod expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×fma-udef
1×pow1/3
Counts
3 → 33
Calls
3 calls:
1.0ms
(fma -3/16 b (fma 3/16 a 1/8))
1.0ms
(fma 3/16 a 1/8)
2.0ms
(cbrt (fma -3/16 b (fma 3/16 a 1/8)))

series319.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(fma -3/16 b (fma 3/16 a 1/8))
62.0ms
(fma 3/16 a 1/8)
222.0ms
(cbrt (fma -3/16 b (fma 3/16 a 1/8)))

simplify1.2s

Counts
42 → 42
Iterations

Useful iterations: done (1.2s)

IterNodesCost
083470
1165454
2429410
31690399
done5000350

prune133.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.1b

regimes156.0ms

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

sample3.7s

Algorithm
intervals
Results
2.4s3497×body10240exit
853.0ms8000×body80valid