Details

Time bar (total: 38.1s)

sample143.0ms

Algorithm
intervals
Results
108.0ms105×body10240exit
21.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
9.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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
26.0ms
(/ (exp a) (+ (exp a) (exp b)))
8.0ms
(+ (exp a) (exp b))

series74.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(/ (exp a) (+ (exp a) (exp b)))
21.0ms
(+ (exp a) (exp b))

simplify1.2s

Counts
44 → 60
Calls
44 calls:
Slowest
395.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
170.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
87.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
44.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
37.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune524.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

2.2b
(log (+ (exp a) (exp b)))
0.2b
(- a (log (+ (exp a) (exp b))))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))

rewrite43.0ms

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
13.0ms
(exp (- a (log (+ (exp a) (exp b)))))
12.0ms
(+ (exp a) (exp b))
11.0ms
(- a (log (+ (exp a) (exp b))))
6.0ms
(log (+ (exp a) (exp b)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
57.0ms
(exp (- a (log (+ (exp a) (exp b)))))
52.0ms
(log (+ (exp a) (exp b)))
52.0ms
(- a (log (+ (exp a) (exp b))))
32.0ms
(+ (exp a) (exp b))

simplify7.0s

Counts
85 → 122
Calls
85 calls:
Slowest
629.0ms
(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)))))))))
420.0ms
(exp (fma (sqrt a) (sqrt a) (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))))
373.0ms
(exp (fma 1 a (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))))
345.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
318.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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
18.0ms
(/ (exp a) (+ (exp a) (exp b)))
9.0ms
(+ (exp a) (exp b))

series55.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
35.0ms
(/ (exp a) (+ (exp a) (exp b)))
20.0ms
(+ (exp a) (exp b))

simplify1.0s

Counts
44 → 60
Calls
44 calls:
Slowest
442.0ms
(/ (* (* (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))))
104.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
36.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
23.0ms
(+ a (+ b 2))

prune495.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))
0.8b
(/ (+ (exp a) (exp b)) (sqrt (exp a)))
0.2b
(sqrt (exp a))
0.2b
(sqrt (exp a))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
286×*-un-lft-identity
192×sqrt-prod
190×add-sqr-sqrt
188×add-cube-cbrt
49×distribute-lft-out
34×associate-/r*
11×add-cbrt-cube add-exp-log
10×associate-/l*
9×div-inv
8×sqrt-pow1
6×pow1 exp-prod
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg pow1/2 associate-/l/
1×flip3-+ associate-/r/ flip-+
Counts
4 → 309
Calls
4 calls:
Slowest
46.0ms
(/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))
29.0ms
(/ (+ (exp a) (exp b)) (sqrt (exp a)))
2.0ms
(sqrt (exp a))
2.0ms
(sqrt (exp a))

series176.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
84.0ms
(/ (+ (exp a) (exp b)) (sqrt (exp a)))
46.0ms
(/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))
24.0ms
(sqrt (exp a))
21.0ms
(sqrt (exp a))

simplify17.6s

Counts
462 → 321
Calls
462 calls:
Slowest
418.0ms
(/ (sqrt (cbrt (exp a))) (/ (+ (exp a) (exp b)) (sqrt (exp a))))
341.0ms
(/ (* (* (sqrt (exp a)) (sqrt (exp a))) (sqrt (exp a))) (* (* (/ (+ (exp a) (exp b)) (sqrt (exp a))) (/ (+ (exp a) (exp b)) (sqrt (exp a)))) (/ (+ (exp a) (exp b)) (sqrt (exp a)))))
252.0ms
(/ (* (cbrt (sqrt (exp a))) (cbrt (sqrt (exp a)))) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (sqrt (exp a))) (cbrt (sqrt (exp a))))))
248.0ms
(/ (sqrt 1) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (sqrt (exp a))) (cbrt (sqrt (exp a))))))
224.0ms
(/ (* (cbrt (sqrt (exp a))) (cbrt (sqrt (exp a)))) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) 1))

prune3.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.3s3458×body10240exit
679.0ms8000×body80valid