Details

Time bar (total: 28.2s)

sample124.0ms

Algorithm
intervals
Results
93.0ms104×body10240exit
16.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize10.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite39.0ms

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
21.0ms
(/ (exp a) (+ (exp a) (exp b)))
17.0ms
(+ (exp a) (exp b))

series84.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
56.0ms
(/ (exp a) (+ (exp a) (exp b)))
27.0ms
(+ (exp a) (exp b))

simplify1.1s

Counts
44 → 60
Calls
44 calls:
Slowest
367.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
135.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
88.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
56.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
39.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune599.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

3.7b
(log (+ (exp a) (exp b)))
1.1b
(- a (log (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))

rewrite75.0ms

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
(exp (- a (log (+ (exp a) (exp b)))))
21.0ms
(+ (exp a) (exp b))
18.0ms
(- a (log (+ (exp a) (exp b))))
6.0ms
(log (+ (exp a) (exp b)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
63.0ms
(log (+ (exp a) (exp b)))
54.0ms
(exp (- a (log (+ (exp a) (exp b)))))
49.0ms
(- a (log (+ (exp a) (exp b))))
30.0ms
(+ (exp a) (exp b))

simplify7.2s

Counts
85 → 122
Calls
85 calls:
Slowest
604.0ms
(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)))))))))
394.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))
344.0ms
(exp (fma 1 a (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))))
339.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
324.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

3.7b
(log (+ (exp a) (exp b)))
1.9b
(- a (expm1 (log1p (log (+ (exp a) (exp b))))))
0.0b
(expm1 (log1p (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt
9×prod-diff
8×add-log-exp
5×pow1 add-exp-log
4×expm1-log1p-u log-prod add-cbrt-cube insert-posit16 log1p-expm1-u
3×fma-def fma-neg
2×log-div flip3-+ flip-+ distribute-lft-out expm1-udef
1×+-commutative expm1-log1p sum-log sub-neg flip3-- diff-log rem-log-exp log-pow flip-- distribute-lft-out-- associate--r- difference-of-squares
Counts
4 → 78
Calls
4 calls:
Slowest
9.0ms
(+ (exp a) (exp b))
7.0ms
(log (+ (exp a) (exp b)))
5.0ms
(- a (expm1 (log1p (log (+ (exp a) (exp b))))))
0.0ms
(expm1 (log1p (log (+ (exp a) (exp b)))))

series233.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
84.0ms
(expm1 (log1p (log (+ (exp a) (exp b)))))
72.0ms
(- a (expm1 (log1p (log (+ (exp a) (exp b))))))
51.0ms
(log (+ (exp a) (exp b)))
26.0ms
(+ (exp a) (exp b))

simplify2.7s

Counts
48 → 90
Calls
48 calls:
Slowest
316.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))
263.0ms
(fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (cbrt (expm1 (log1p (log (+ (exp a) (exp b)))))) (* (cbrt (expm1 (log1p (log (+ (exp a) (exp b)))))) (cbrt (expm1 (log1p (log (+ (exp a) (exp b))))))))))
184.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
176.0ms
(fma (- (cbrt (expm1 (log1p (log (+ (exp a) (exp b))))))) (* (cbrt (expm1 (log1p (log (+ (exp a) (exp b)))))) (cbrt (expm1 (log1p (log (+ (exp a) (exp b))))))) (* (cbrt (expm1 (log1p (log (+ (exp a) (exp b)))))) (* (cbrt (expm1 (log1p (log (+ (exp a) (exp b)))))) (cbrt (expm1 (log1p (log (+ (exp a) (exp b)))))))))
165.0ms
(fma 1 a (- (* (cbrt (expm1 (log1p (log (+ (exp a) (exp b)))))) (* (cbrt (expm1 (log1p (log (+ (exp a) (exp b)))))) (cbrt (expm1 (log1p (log (+ (exp a) (exp b))))))))))

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
28×exp-sum
22×prod-diff associate--l+
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
3×exp-prod sub-neg add-log-exp
2×pow1 rem-exp-log
1×expm1-log1p-u add-cbrt-cube exp-diff diff-log add-exp-log log-pow insert-posit16 log1p-expm1-u
Counts
1 → 44
Calls
1 calls:
Slowest
54.0ms
(exp (- (* 1/2 (- a b)) (log 2)))

series56.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
56.0ms
(exp (- (* 1/2 (- a b)) (log 2)))

simplify8.2s

Counts
37 → 47
Calls
37 calls:
Slowest
598.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))
435.0ms
(exp (* 1/2 (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* b 1)))))
426.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
399.0ms
(exp (* 1/2 (fma (sqrt a) (sqrt a) (- (* (cbrt b) (* (cbrt b) (cbrt b)))))))
392.0ms
(exp (* 1/2 (fma 1 a (- (* (cbrt b) (* (cbrt b) (cbrt b)))))))

prune518.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.5b

regimes245.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.8s3412×body10240exit
1.1s8000×body80valid