Details

Time bar (total: 30.9s)

sample115.0ms

Algorithm
intervals
Results
89.0ms111×body10240exit
16.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
5.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×fma-def add-exp-log associate-/l*
2×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 54
Calls
2 calls:
Slowest
30.0ms
(/ (exp a) (+ (exp a) (exp b)))
16.0ms
(+ (exp a) (exp b))

series81.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
58.0ms
(/ (exp a) (+ (exp a) (exp b)))
23.0ms
(+ (exp a) (exp b))

simplify1.1s

Counts
44 → 60
Calls
44 calls:
Slowest
370.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
150.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
94.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
55.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
31.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) 1)

prune527.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 4 expressions with local error:

2.9b
(log (+ (exp a) (exp b)))
0.7b
(- a (log (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))

rewrite70.0ms

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-+ insert-posit16 log1p-expm1-u associate--r+ distribute-lft-out-- associate--r-
3×fma-def fma-neg distribute-lft-out
2×sub-neg diff-log difference-of-squares rem-exp-log
1×+-commutative sum-log flip3-- exp-diff rem-log-exp flip--
Counts
4 → 110
Calls
4 calls:
Slowest
26.0ms
(- a (log (+ (exp a) (exp b))))
16.0ms
(+ (exp a) (exp b))
14.0ms
(exp (- a (log (+ (exp a) (exp b)))))
12.0ms
(log (+ (exp a) (exp b)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
68.0ms
(exp (- a (log (+ (exp a) (exp b)))))
45.0ms
(log (+ (exp a) (exp b)))
44.0ms
(- a (log (+ (exp a) (exp b))))
20.0ms
(+ (exp a) (exp b))

simplify7.1s

Counts
85 → 122
Calls
85 calls:
Slowest
582.0ms
(exp (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))))
422.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
378.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))
377.0ms
(exp (fma 1 a (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))))
338.0ms
(exp (fma (sqrt a) (sqrt a) (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))))

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize53.0ms

Local error

Found 4 expressions with local error:

6.9b
(log (fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a))))
4.7b
(- (exp b) (exp a))
2.7b
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
1.0b
(+ (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (log (fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
26×add-sqr-sqrt
22×add-cube-cbrt
21×prod-diff
16×associate-+l+
15×pow1 log-prod
11×log-pow distribute-lft-out
8×add-log-exp
7×distribute-lft-out--
6×fma-def add-exp-log
4×expm1-log1p-u log-div unpow-prod-down add-cbrt-cube cube-prod insert-posit16 log1p-expm1-u
3×associate-+r+ flip3-+ fma-neg flip-+
2×sum-log sub-neg diff-log rem-log-exp associate--r- difference-of-squares
1×+-commutative flip3-- sum-cubes associate-+l- flip--
Counts
4 → 114
Calls
4 calls:
Slowest
38.0ms
(+ (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (log (fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a)))))
19.0ms
(- (exp b) (exp a))
16.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
1.0ms
(log (fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a))))

series417.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
172.0ms
(+ (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (log (fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a)))))
127.0ms
(log (fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a))))
74.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
44.0ms
(- (exp b) (exp a))

simplify13.4s

Counts
80 → 126
Calls
80 calls:
Slowest
533.0ms
(log (- (+ (pow (exp b) 2) (pow (exp a) 2)) (* (exp b) (exp a))))
477.0ms
(log (+ (pow (pow (exp a) 3) 3) (pow (pow (exp b) 3) 3)))
434.0ms
(- a (log (+ (pow (pow (exp a) 3) 3) (pow (pow (exp b) 3) 3))))
419.0ms
(fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (log (+ (pow (exp a) 3) (pow (exp b) 3))) 1)))
397.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a))))

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample4.3s

Algorithm
intervals
Results
3.0s3420×body10240exit
1.1s8000×body80valid