Details

Time bar (total: 14.2s)

sample141.0ms

Algorithm
intervals
Results
112.0ms116×body10240exit
19.0ms256×body80valid

simplify4.0ms

Calls
1 calls:
Slowest
4.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite24.0ms

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
Calls
2 calls:
Slowest
15.0ms
(/ (exp a) (+ (exp a) (exp b)))
8.0ms
(+ (exp a) (exp b))

series75.0ms

Calls
2 calls:
Slowest
47.0ms
(/ (exp a) (+ (exp a) (exp b)))
28.0ms
(+ (exp a) (exp b))

simplify1.1s

Calls
44 calls:
Slowest
415.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
141.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
92.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
58.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
26.0ms
(/ 1 (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

prune560.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

3.1b
(log (+ (exp a) (exp b)))
0.8b
(- a (log (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
8×add-sqr-sqrt log-prod add-cube-cbrt
7×add-log-exp
6×log-div
5×pow1 add-exp-log
4×expm1-log1p-u flip3-+ add-cbrt-cube exp-sum flip-+ insert-posit16 log1p-expm1-u associate--r+ associate--r-
3×exp-prod fma-def distribute-lft-out
2×sub-neg
1×+-commutative sum-log flip3-- exp-diff rem-log-exp log-pow flip-- rem-exp-log
Calls
4 calls:
Slowest
4.0ms
(+ (exp a) (exp b))
4.0ms
(log (+ (exp a) (exp b)))
4.0ms
(- a (log (+ (exp a) (exp b))))
2.0ms
(exp (- a (log (+ (exp a) (exp b)))))

series141.0ms

Calls
4 calls:
Slowest
42.0ms
(log (+ (exp a) (exp b)))
41.0ms
(exp (- a (log (+ (exp a) (exp b)))))
35.0ms
(- a (log (+ (exp a) (exp b))))
24.0ms
(+ (exp a) (exp b))

simplify1.5s

Calls
38 calls:
Slowest
359.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
304.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))
166.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))
115.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
109.0ms
(- (* 1/2 a) (+ (* 1/2 b) (log 2)))

prune935.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(log1p (/ (exp a) (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
5×add-cbrt-cube distribute-lft-out add-log-exp
4×expm1-log1p-u associate-/r* add-exp-log
3×pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative log1p-udef clear-num sum-log frac-2neg div-exp log1p-expm1 div-inv
Calls
3 calls:
Slowest
15.0ms
(/ (exp a) (+ (exp a) (exp b)))
8.0ms
(+ (exp a) (exp b))
1.0ms
(log1p (/ (exp a) (+ (exp a) (exp b))))

series153.0ms

Calls
3 calls:
Slowest
76.0ms
(log1p (/ (exp a) (+ (exp a) (exp b))))
48.0ms
(/ (exp a) (+ (exp a) (exp b)))
29.0ms
(+ (exp a) (exp b))

simplify1.1s

Calls
48 calls:
Slowest
331.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
138.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
83.0ms
(- (+ (* 1/6 a) (log 3/2)) (* 1/6 b))
68.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
46.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

prune867.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
9×exp-sum
8×associate--l+
6×sub-neg prod-diff
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
4×distribute-rgt-in distribute-lft-in
3×exp-prod
2×expm1-log1p-u pow1 add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u rem-exp-log
1×flip3-- exp-diff fma-neg flip--
Calls
2 calls:
Slowest
19.0ms
(exp (- (* 1/2 (- a b)) (log 2)))
8.0ms
(- (* 1/2 (- a b)) (log 2))

series69.0ms

Calls
2 calls:
Slowest
39.0ms
(exp (- (* 1/2 (- a b)) (log 2)))
30.0ms
(- (* 1/2 (- a b)) (log 2))

simplify2.8s

Calls
32 calls:
Slowest
327.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
220.0ms
(exp (- (* 1/2 a) (+ (* 1/2 b) (log 2))))
210.0ms
(exp (fma 1/2 (- a b) (- (* (log 2) 1))))
190.0ms
(exp (fma 1/2 (- a b) (- (* (cbrt (log 2)) (* (cbrt (log 2)) (cbrt (log 2)))))))
190.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

prune479.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes186.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch1.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
3.2s3524×body10240exit
590.0ms8000×body80valid