Details

Time bar (total: 38.9s)

sample134.0ms

Algorithm
intervals
Results
101.0ms99×body10240exit
20.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
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: 1.7b

localize17.0ms

Local error

Found 1 expressions with local error:

1.7b
(/ (exp a) (+ (exp a) (exp b)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube associate-/l*
2×add-exp-log associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
Slowest
29.0ms
(/ (exp a) (+ (exp a) (exp b)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
60.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify819.0ms

Counts
37 → 37
Calls
37 calls:
Slowest
315.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
102.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
77.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
37.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
28.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune288.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.4b

localize24.0ms

Local error

Found 3 expressions with local error:

3.7b
(log (+ (exp a) (exp b)))
0.3b
(- a (log (+ (exp a) (exp b))))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt
8×log-prod
6×pow1 log-div exp-prod add-cube-cbrt add-log-exp
4×exp-sum add-exp-log associate--r+ distribute-lft-out-- associate--r-
3×flip3-+ add-cbrt-cube log-pow flip-+ insert-posit16
2×sub-neg diff-log distribute-lft-out difference-of-squares rem-exp-log
1×flip3-- exp-diff rem-log-exp flip--
Counts
3 → 59
Calls
3 calls:
Slowest
19.0ms
(- a (log (+ (exp a) (exp b))))
16.0ms
(exp (- a (log (+ (exp a) (exp b)))))
8.0ms
(log (+ (exp a) (exp b)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
59.0ms
(exp (- a (log (+ (exp a) (exp b)))))
40.0ms
(log (+ (exp a) (exp b)))
37.0ms
(- a (log (+ (exp a) (exp b))))

simplify1.6s

Counts
40 → 68
Calls
40 calls:
Slowest
296.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))
224.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))
168.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
147.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
138.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))

prune675.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
5×add-log-exp
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×log-prod exp-prod associate--r+
2×pow1 sub-neg add-cbrt-cube diff-log exp-sum add-exp-log insert-posit16 rem-exp-log
1×flip3-- exp-diff flip--
Counts
2 → 32
Calls
2 calls:
Slowest
46.0ms
(exp (- (* (- a b) 1/2) (log 2)))
12.0ms
(- (* (- a b) 1/2) (log 2))

series122.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
69.0ms
(exp (- (* (- a b) 1/2) (log 2)))
53.0ms
(- (* (- a b) 1/2) (log 2))

simplify1.9s

Counts
18 → 38
Calls
18 calls:
Slowest
225.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
208.0ms
(/ (exp (* (- a b) 1/2)) 2)
200.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))
174.0ms
(exp (- (* 1/2 a) (+ (* 1/2 b) (log 2))))
170.0ms
(exp (* (cbrt (- (* (- a b) 1/2) (log 2))) (cbrt (- (* (- a b) 1/2) (log 2)))))

prune370.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.1b

localize47.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
1.7b
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
1.2b
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
0.6b
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
55×times-frac
37×add-sqr-sqrt
35×distribute-lft-out
33×associate-*l*
32×add-cube-cbrt
28×unpow-prod-down cube-prod
11×add-cbrt-cube add-log-exp
9×associate-/r* add-exp-log
7×sum-cubes
6×pow1
5×flip3-+ flip-+
4×associate-/r/ insert-posit16
3×associate-*r* associate-/l*
2×frac-times cbrt-undiv associate-+r+ sum-log sub-neg diff-log div-exp prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr
1×distribute-rgt-in +-commutative clear-num associate-+r- frac-2neg distribute-lft-in flip3-- distribute-rgt-out-- pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 143
Calls
4 calls:
Slowest
238.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
33.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
24.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
13.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
218.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
89.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
66.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
44.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify25.3s

Counts
142 → 155
Calls
142 calls:
Slowest
872.0ms
(* (* (* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))) (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))) (* (* (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))
845.0ms
(* (+ (pow (exp a) 3) (pow (exp b) 3)) (- (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
742.0ms
(* (exp (* (exp a) (exp a))) (exp (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
458.0ms
(* (exp a) (- (* (* (exp a) (exp a)) (* (exp a) (exp a))) (* (- (* (exp b) (exp b)) (* (exp a) (exp b))) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))
454.0ms
(/ (exp a) (+ (pow (pow (exp a) 3) 3) (pow (pow (exp b) 3) 3)))

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.1b

regimes241.0ms

Accuracy

98.3% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 12.7b

bsearch161.0ms

end0.0ms

sample4.3s

Algorithm
intervals
Results
3.3s3433×body10240exit
693.0ms8000×body80valid