Details

Time bar (total: 28.1s)

sample126.0ms

Algorithm
intervals
Results
95.0ms107×body10240exit
19.0ms256×body80valid

simplify5.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize41.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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
31.0ms
(/ (exp a) (+ (exp a) (exp b)))
17.0ms
(+ (exp a) (exp b))

series82.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
54.0ms
(/ (exp a) (+ (exp a) (exp b)))
27.0ms
(+ (exp a) (exp b))

simplify1.1s

Counts
44 → 60
Calls
44 calls:
Slowest
391.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
151.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
75.0ms
(- (+ (* 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)))))
36.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune520.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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 b) (exp a)))
19.0ms
(+ (exp b) (exp a))

series101.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
66.0ms
(/ (exp a) (+ (exp b) (exp a)))
35.0ms
(+ (exp b) (exp a))

simplify1.2s

Counts
44 → 60
Calls
44 calls:
Slowest
397.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))
158.0ms
(+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))
94.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
69.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp b) (exp a))) (cbrt (+ (exp b) (exp a)))))
34.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp b) (exp a))))

prune559.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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
17.0ms
(exp (- a (log (+ (exp b) (exp a)))))
16.0ms
(- a (log (+ (exp b) (exp a))))
11.0ms
(+ (exp b) (exp a))
6.0ms
(log (+ (exp b) (exp a)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(exp (- a (log (+ (exp b) (exp a)))))
50.0ms
(- a (log (+ (exp b) (exp a))))
40.0ms
(log (+ (exp b) (exp a)))
29.0ms
(+ (exp b) (exp a))

simplify6.7s

Counts
85 → 122
Calls
85 calls:
Slowest
559.0ms
(exp (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (cbrt (log (+ (exp b) (exp a)))) (* (cbrt (log (+ (exp b) (exp a)))) (cbrt (log (+ (exp b) (exp a)))))))))
399.0ms
(exp (- a (log (+ (pow (exp b) 3) (pow (exp a) 3)))))
367.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
329.0ms
(exp (fma 1 a (- (* (cbrt (log (+ (exp b) (exp a)))) (* (cbrt (log (+ (exp b) (exp a)))) (cbrt (log (+ (exp b) (exp a)))))))))
314.0ms
(exp (- a (log (- (* (exp b) (exp b)) (* (exp a) (exp a))))))

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize29.0ms

Local error

Found 2 expressions with local error:

0.1b
(exp (- (* 1/2 (- a b)) (log 2)))
0.0b
(- (* 1/2 (- a b)) (log 2))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
44×prod-diff associate--l+
30×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
28×exp-sum
22×distribute-rgt-in distribute-lft-in
6×sub-neg
5×add-log-exp
4×pow1
3×log-prod exp-prod associate--r+
2×expm1-log1p-u add-cbrt-cube diff-log add-exp-log log-pow insert-posit16 log1p-expm1-u rem-exp-log
1×flip3-- exp-diff fma-neg flip--
Counts
2 → 89
Calls
2 calls:
Slowest
31.0ms
(exp (- (* 1/2 (- a b)) (log 2)))
24.0ms
(- (* 1/2 (- a b)) (log 2))

series113.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
64.0ms
(exp (- (* 1/2 (- a b)) (log 2)))
49.0ms
(- (* 1/2 (- a b)) (log 2))

simplify10.2s

Counts
74 → 95
Calls
74 calls:
Slowest
417.0ms
(exp (* 1/2 (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* b 1)))))
394.0ms
(exp (* (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* b 1))) 1/2))
369.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
360.0ms
(exp (* 1/2 (fma 1 a (- (* (cbrt b) (* (cbrt b) (cbrt b)))))))
359.0ms
(exp (* 1/2 (fma (sqrt a) (sqrt a) (- (* (cbrt b) (* (cbrt b) (cbrt b)))))))

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes155.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch1.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
3.6s3453×body10240exit
737.0ms8000×body80valid