Details

Time bar (total: 17.8s)

sample121.0ms

Algorithm
intervals
Results
93.0ms115×body10240exit
16.0ms256×body80valid

simplify5.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 47
Calls
2 calls:
Slowest
29.0ms
(/ (exp a) (+ (exp a) (exp b)))
15.0ms
(+ (exp a) (exp b))

series67.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(/ (exp a) (+ (exp a) (exp b)))
23.0ms
(+ (exp a) (exp b))

simplify928.0ms

Counts
42 → 53
Calls
42 calls:
Slowest
312.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
109.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
76.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
34.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
33.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune481.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

2.2b
(log (+ (exp a) (exp b)))
1.9b
(- a (log (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
11×add-sqr-sqrt
9×add-log-exp
8×log-prod
7×pow1 add-cube-cbrt
6×log-div exp-prod
5×add-exp-log
4×flip3-+ add-cbrt-cube exp-sum flip-+ insert-posit16 associate--r+ distribute-lft-out-- associate--r-
3×log-pow 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 → 72
Calls
4 calls:
Slowest
13.0ms
(exp (- a (log (+ (exp a) (exp b)))))
11.0ms
(+ (exp a) (exp b))
10.0ms
(- a (log (+ (exp a) (exp b))))
6.0ms
(log (+ (exp a) (exp b)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
55.0ms
(exp (- a (log (+ (exp a) (exp b)))))
47.0ms
(- a (log (+ (exp a) (exp b))))
42.0ms
(log (+ (exp a) (exp b)))
21.0ms
(+ (exp a) (exp b))

simplify1.8s

Counts
45 → 84
Calls
45 calls:
Slowest
339.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))
249.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
198.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))
145.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
114.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))

prune952.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

2.2b
(log (+ (exp a) (exp b)))
1.9b
(- a (log (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))
0.0b
(pow E (- a (log (+ (exp a) (exp b)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt
8×pow1 log-prod add-cube-cbrt
7×add-log-exp
6×log-div pow-unpow add-exp-log
4×unpow-prod-up flip3-+ add-cbrt-cube flip-+ insert-posit16 associate--r+ distribute-lft-out-- associate--r-
3×unpow-prod-down log-pow distribute-lft-out
2×sub-neg pow-exp difference-of-squares
1×pow-to-exp +-commutative e-exp-1 sum-log pow-pow flip3-- diff-log rem-log-exp flip-- pow-sub sqr-pow
Counts
4 → 78
Calls
4 calls:
Slowest
15.0ms
(- a (log (+ (exp a) (exp b))))
15.0ms
(+ (exp a) (exp b))
11.0ms
(pow E (- a (log (+ (exp a) (exp b)))))
6.0ms
(log (+ (exp a) (exp b)))

series206.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
67.0ms
(log (+ (exp a) (exp b)))
57.0ms
(- a (log (+ (exp a) (exp b))))
55.0ms
(pow E (- a (log (+ (exp a) (exp b)))))
27.0ms
(+ (exp a) (exp b))

simplify3.2s

Counts
48 → 90
Calls
48 calls:
Slowest
414.0ms
(pow (* (cbrt E) (cbrt E)) (- a (log (+ (exp a) (exp b)))))
387.0ms
(pow (sqrt E) (- a (log (+ (exp a) (exp b)))))
319.0ms
(pow E (- (log (+ (exp a) (exp b)))))
317.0ms
(pow E (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))
260.0ms
(pow E (- (log (+ (exp a) (exp b)))))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

2.2b
(log (+ (exp a) (exp b)))
0.3b
(* (exp a) (exp (- (log (+ (exp a) (exp b))))))
0.0b
(+ (exp a) (exp b))
0.0b
(exp (- (log (+ (exp a) (exp b)))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
18×exp-prod
16×add-sqr-sqrt
13×log-prod
12×add-cube-cbrt
10×pow1
9×distribute-neg-in exp-sum
7×associate-*r* add-log-exp
6×distribute-rgt-neg-in add-cbrt-cube
5×add-exp-log
4×distribute-lft-neg-in log-pow insert-posit16 distribute-lft-out
3×exp-neg associate-*l* pow-prod-up
2×neg-sub0 log-div flip3-+ exp-diff associate-*r/ flip-+ unswap-sqr rem-exp-log
1×+-commutative neg-mul-1 sum-log rem-log-exp pow-prod-down neg-log prod-exp un-div-inv *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
Slowest
76.0ms
(* (exp a) (exp (- (log (+ (exp a) (exp b))))))
12.0ms
(+ (exp a) (exp b))
12.0ms
(log (+ (exp a) (exp b)))
9.0ms
(exp (- (log (+ (exp a) (exp b)))))

series274.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(exp (- (log (+ (exp a) (exp b)))))
87.0ms
(* (exp a) (exp (- (log (+ (exp a) (exp b))))))
35.0ms
(log (+ (exp a) (exp b)))
22.0ms
(+ (exp a) (exp b))

simplify2.4s

Counts
64 → 99
Calls
64 calls:
Slowest
284.0ms
(- (exp (- (log 2))) (+ (* 1/2 (* (exp (- (log 2))) b)) (* 1/2 (* a (exp (- (log 2)))))))
208.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
178.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
178.0ms
(* (* (* (exp a) (exp a)) (exp a)) (* (* (exp (- (log (+ (exp a) (exp b))))) (exp (- (log (+ (exp a) (exp b)))))) (exp (- (log (+ (exp a) (exp b)))))))
150.0ms
(exp (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.3s3450×body10240exit
651.0ms8000×body80valid