Details

Time bar (total: 39.5s)

sample90.0ms

Algorithm
intervals
Results
63.0ms91×body10240exit
15.0ms256×body80valid

simplify5.0ms

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: 0.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite40.0ms

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
31.0ms
(/ (exp a) (+ (exp a) (exp b)))
8.0ms
(+ (exp a) (exp b))

series60.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
40.0ms
(/ (exp a) (+ (exp a) (exp b)))
19.0ms
(+ (exp a) (exp b))

simplify927.0ms

Counts
42 → 53
Calls
42 calls:
Slowest
316.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
86.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
80.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
63.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
34.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune521.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

4.0b
(log (+ (exp a) (exp b)))
2.0b
(- a (log (+ (exp a) (exp b))))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))

rewrite70.0ms

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
23.0ms
(exp (- a (log (+ (exp a) (exp b)))))
17.0ms
(- a (log (+ (exp a) (exp b))))
15.0ms
(+ (exp a) (exp b))
12.0ms
(log (+ (exp a) (exp b)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
64.0ms
(- a (log (+ (exp a) (exp b))))
62.0ms
(exp (- a (log (+ (exp a) (exp b)))))
59.0ms
(log (+ (exp a) (exp b)))
28.0ms
(+ (exp a) (exp b))

simplify1.8s

Counts
45 → 84
Calls
45 calls:
Slowest
350.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))
319.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))
188.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
138.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))
137.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))

prune901.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize23.0ms

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))

rewrite67.0ms

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
41.0ms
(exp (- (* (- a b) 1/2) (log 2)))
25.0ms
(- (* (- a b) 1/2) (log 2))

series119.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
61.0ms
(exp (- (* (- a b) 1/2) (log 2)))
58.0ms
(- (* (- a b) 1/2) (log 2))

simplify1.8s

Counts
18 → 38
Calls
18 calls:
Slowest
216.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))
193.0ms
(/ (exp (* (- a b) 1/2)) 2)
188.0ms
(exp (- (* 1/2 a) (+ (* 1/2 b) (log 2))))
171.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
144.0ms
(exp (* (cbrt (- (* (- a b) 1/2) (log 2))) (cbrt (- (* (- a b) 1/2) (log 2)))))

prune402.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize78.0ms

Local error

Found 4 expressions with local error:

4.5b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
0.8b
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
0.7b
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
0.2b
(* (exp a) (exp b))

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
106×*-un-lft-identity
55×times-frac
41×add-sqr-sqrt
36×associate-*l*
35×distribute-lft-out
34×add-cube-cbrt
28×unpow-prod-down cube-prod
13×add-cbrt-cube
9×associate-/r* add-exp-log
8×pow1
7×sum-cubes
6×associate-*r* add-log-exp
4×flip3-+ associate-/r/ flip-+ insert-posit16
3×prod-exp cbrt-unprod associate-/l* unswap-sqr
2×frac-times cbrt-undiv exp-prod div-exp pow-prod-down associate-*r/ *-commutative div-inv
1×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-- distribute-rgt-out-- diff-log associate-*l/ pow-prod-up flip--
Counts
4 → 147
Calls
4 calls:
Slowest
228.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
27.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
27.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
19.0ms
(* (exp a) (exp b))

series403.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
216.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
95.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
57.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
34.0ms
(* (exp a) (exp b))

simplify24.7s

Counts
149 → 159
Calls
149 calls:
Slowest
870.0ms
(* (* (* (/ (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))))))
528.0ms
(* (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))))))
508.0ms
(+ (* (* (exp a) (exp a)) (* (exp a) (exp a))) (- (* (- (* (exp b) (exp b)) (* (exp a) (exp b))) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) (* (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))
468.0ms
(/ (exp a) (+ (pow (pow (exp a) 3) 3) (pow (pow (exp b) 3) 3)))
395.0ms
(/ 1 (* (cbrt (+ (pow (exp a) 3) (pow (exp b) 3))) (cbrt (+ (pow (exp a) 3) (pow (exp b) 3)))))

prune2.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample4.7s

Algorithm
intervals
Results
3.7s3511×body10240exit
687.0ms8000×body80valid