Details

Time bar (total: 13.0s)

sample79.0ms

Algorithm
intervals
Results
53.0ms114×body10240exit
10.0ms256×body80valid

simplify3.0ms

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: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.3b
(/ (exp a) (+ (exp a) (exp b)))

rewrite79.0ms

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:
45.0ms
(+ (exp a) (exp b))
31.0ms
(/ (exp a) (+ (exp a) (exp b)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (exp a) (exp b))
52.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify1.9s

Counts
58 → 58
Iterations

Useful iterations: done (1.9s)

IterNodesCost
082646
1184616
2636576
33574575
done5001574

prune134.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(expm1 (log1p (+ (exp a) (exp b))))
0.3b
(/ (exp a) (expm1 (log1p (+ (exp a) (exp b)))))
0.9b
(log1p (+ (exp a) (exp b)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-log-exp
5×add-exp-log expm1-log1p-u
4×pow1 log1p-expm1-u
3×fma-def associate-/r* associate-/l*
1×cbrt-undiv +-commutative log1p-udef expm1-log1p frac-2neg flip3-+ log1p-expm1 div-exp clear-num sum-log flip-+ div-inv distribute-lft-out expm1-udef
Counts
4 → 68
Calls
4 calls:
11.0ms
(+ (exp a) (exp b))
0.0ms
(expm1 (log1p (+ (exp a) (exp b))))
12.0ms
(/ (exp a) (expm1 (log1p (+ (exp a) (exp b)))))
1.0ms
(log1p (+ (exp a) (exp b)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (exp a) (exp b))
68.0ms
(expm1 (log1p (+ (exp a) (exp b))))
73.0ms
(/ (exp a) (expm1 (log1p (+ (exp a) (exp b)))))
51.0ms
(log1p (+ (exp a) (exp b)))

simplify1.4s

Counts
80 → 80
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0110894
1236757
2733696
33503693
done5000691

prune192.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
0.3b
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
0.5b
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
3.9b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite514.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
55×times-frac
37×add-sqr-sqrt
35×distribute-lft-out
33×associate-*l*
32×add-cube-cbrt
28×unpow-prod-down cube-prod
11×add-cbrt-cube add-log-exp
9×add-exp-log associate-/r*
7×sum-cubes
6×pow1
5×flip3-+ flip-+
4×expm1-log1p-u associate-/r/ log1p-expm1-u
3×associate-+r+ associate-*r* associate-/l*
2×cbrt-undiv frac-times sub-neg diff-log associate-*r/ div-exp prod-diff prod-exp sum-log cbrt-unprod div-inv unswap-sqr
1×+-commutative distribute-rgt-in associate-+r- flip3-- distribute-rgt-out-- fma-def frac-2neg distribute-lft-in fma-neg pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 151
Calls
4 calls:
80.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
59.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
343.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
19.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
81.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
212.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
62.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify3.1s

Counts
163 → 163
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02104163
17413524
247893172
done50003158

prune770.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize7.0ms

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: 0.2b

regimes95.0ms

Accuracy

0% (0.4b remaining)

Error of 1.1b against oracle of 0.7b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
1910
done910

end0.0ms

sample3.9s

Algorithm
intervals
Results
3.1s3570×body10240exit
375.0ms8000×body80valid