Details

Time bar (total: 27.5s)

sample332.0ms

Algorithm
intervals
Results
150.0ms208×body10240exit
74.0ms399×body80nan
23.0ms239×body80valid
4.0ms21×body160valid

simplify525.0ms

Calls
1 calls:
Slowest
524.0ms
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ (exp x) 1))
0.0b
(+ (exp x) 1)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt
3×*-un-lft-identity add-cube-cbrt sqrt-prod
2×pow1 flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ insert-posit16 add-log-exp
1×+-commutative rem-sqrt-square pow1/2
Calls
2 calls:
Slowest
9.0ms
(sqrt (+ (exp x) 1))
6.0ms
(+ (exp x) 1)

series79.0ms

Calls
2 calls:
Slowest
64.0ms
(sqrt (+ (exp x) 1))
16.0ms
(+ (exp x) 1)

simplify421.0ms

Calls
12 calls:
Slowest
209.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
47.0ms
(sqrt (- (* (exp x) (exp x)) (* 1 1)))
41.0ms
(+ x (+ (* 1/2 (pow x 2)) 2))
31.0ms
(sqrt (+ (pow (exp x) 3) (pow 1 3)))
17.0ms
(+ (exp x) 1)

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

4.7b
(- (* 1 1) (* (exp x) 1))
0.1b
(pow (exp x) 3)
0.0b
(+ (pow (exp x) 3) (pow 1 3))
0.0b
(* (exp x) (exp x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×pow1
8×add-sqr-sqrt add-cube-cbrt add-log-exp
7×add-cbrt-cube
4×add-exp-log insert-posit16
3×unpow-prod-down cube-prod associate-*r* associate-*l*
2×cube-mult distribute-lft-out
1×pow2 pow-to-exp +-commutative sum-log sub-neg pow-pow flip3-+ pow-plus flip3-- distribute-rgt-out-- diff-log unpow3 pow-prod-down pow-exp prod-exp sum-cubes *-commutative pow-prod-up cbrt-unprod flip-+ flip-- rem-cube-cbrt
Calls
4 calls:
Slowest
13.0ms
(+ (pow (exp x) 3) (pow 1 3))
8.0ms
(* (exp x) (exp x))
5.0ms
(- (* 1 1) (* (exp x) 1))
2.0ms
(pow (exp x) 3)

series104.0ms

Calls
4 calls:
Slowest
36.0ms
(+ (pow (exp x) 3) (pow 1 3))
25.0ms
(pow (exp x) 3)
23.0ms
(* (exp x) (exp x))
20.0ms
(- (* 1 1) (* (exp x) 1))

simplify1.1s

Calls
39 calls:
Slowest
255.0ms
(- (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
109.0ms
(* (* (* (exp x) (exp x)) (exp x)) (* (* (exp x) (exp x)) (exp x)))
97.0ms
(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
71.0ms
(+ (* 3 x) (+ (* 9/2 (pow x 2)) 2))
61.0ms
(+ (* 2 x) (+ (* 2 (pow x 2)) 1))

prune946.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

4.7b
(- (* 1 1) (* (exp x) 1))
0.1b
(* (sqrt (+ (pow (exp x) 3) (pow 1 3))) (sqrt (+ (pow (exp x) 3) (pow 1 3))))
0.1b
(pow (exp x) 3)
0.1b
(pow (exp x) 3)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×add-sqr-sqrt sqrt-div add-cube-cbrt sqrt-prod
11×pow1
9×associate-*r* associate-*l*
8×add-cbrt-cube
6×unpow-prod-down flip3-+ cube-prod add-exp-log flip-+ add-log-exp
4×cube-mult frac-times pow1/2 insert-posit16 distribute-lft-out
2×pow-to-exp pow-pow unpow3 pow-prod-down associate-*l/ pow-exp associate-*r/ sum-cubes pow-prod-up rem-cube-cbrt
1×pow2 sub-neg rem-square-sqrt pow-plus flip3-- distribute-rgt-out-- sqrt-unprod diff-log prod-exp *-commutative cbrt-unprod flip--
Calls
4 calls:
Slowest
44.0ms
(* (sqrt (+ (pow (exp x) 3) (pow 1 3))) (sqrt (+ (pow (exp x) 3) (pow 1 3))))
3.0ms
(- (* 1 1) (* (exp x) 1))
2.0ms
(pow (exp x) 3)
2.0ms
(pow (exp x) 3)

series116.0ms

Calls
4 calls:
Slowest
34.0ms
(pow (exp x) 3)
33.0ms
(* (sqrt (+ (pow (exp x) 3) (pow 1 3))) (sqrt (+ (pow (exp x) 3) (pow 1 3))))
24.0ms
(- (* 1 1) (* (exp x) 1))
24.0ms
(pow (exp x) 3)

simplify5.7s

Calls
73 calls:
Slowest
593.0ms
(* (* (* (sqrt (+ (pow (exp x) 3) (pow 1 3))) (sqrt (+ (pow (exp x) 3) (pow 1 3)))) (sqrt (+ (pow (exp x) 3) (pow 1 3)))) (* (* (sqrt (+ (pow (exp x) 3) (pow 1 3))) (sqrt (+ (pow (exp x) 3) (pow 1 3)))) (sqrt (+ (pow (exp x) 3) (pow 1 3)))))
370.0ms
(* (sqrt (- (pow (exp x) 3) (pow 1 3))) (sqrt (+ (* (pow (exp x) 3) (pow (exp x) 3)) (- (* (pow 1 3) (pow 1 3)) (* (pow (exp x) 3) (pow 1 3))))))
363.0ms
(* (sqrt (- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1 3) (pow 1 3)))) (sqrt (+ (pow (pow (exp x) 3) 3) (pow (pow 1 3) 3))))
347.0ms
(* (sqrt (+ (* (pow (exp x) 3) (pow (exp x) 3)) (- (* (pow 1 3) (pow 1 3)) (* (pow (exp x) 3) (pow 1 3))))) (sqrt (- (pow (exp x) 3) (pow 1 3))))
338.0ms
(* (sqrt (+ (pow (pow (exp x) 3) 3) (pow (pow 1 3) 3))) (sqrt (- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1 3) (pow 1 3)))))

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

4.7b
(- (* 1 1) (* (exp x) 1))
4.7b
(- (* 1 1) (* (exp x) 1))
0.1b
(* (sqrt (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) (pow 1 3))))
0.1b
(pow (exp x) 3)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×sqrt-div
10×add-sqr-sqrt add-cube-cbrt
9×associate-*r* sqrt-prod
8×add-log-exp
7×pow1 add-cbrt-cube
6×flip3-+ associate-*l* add-exp-log flip-+
4×frac-times insert-posit16
3×unpow-prod-down cube-prod
2×cube-mult sub-neg flip3-- distribute-rgt-out-- pow1/2 diff-log pow-prod-down associate-*l/ associate-*r/ flip-- distribute-lft-out
1×pow-to-exp pow-pow sqrt-unprod unpow3 pow-exp prod-exp sum-cubes *-commutative cbrt-unprod rem-cube-cbrt
Calls
4 calls:
Slowest
23.0ms
(* (sqrt (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) (pow 1 3))))
3.0ms
(- (* 1 1) (* (exp x) 1))
3.0ms
(- (* 1 1) (* (exp x) 1))
2.0ms
(pow (exp x) 3)

series148.0ms

Calls
4 calls:
Slowest
81.0ms
(* (sqrt (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) (pow 1 3))))
36.0ms
(pow (exp x) 3)
16.0ms
(- (* 1 1) (* (exp x) 1))
14.0ms
(- (* 1 1) (* (exp x) 1))

simplify5.1s

Calls
56 calls:
Slowest
414.0ms
(* (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) (sqrt (+ (* (pow (exp x) 3) (pow (exp x) 3)) (- (* (pow 1 3) (pow 1 3)) (* (pow (exp x) 3) (pow 1 3))))))
365.0ms
(* (sqrt (- (exp x) 1)) (sqrt (+ (* (pow (exp x) 3) (pow (exp x) 3)) (- (* (pow 1 3) (pow 1 3)) (* (pow (exp x) 3) (pow 1 3))))))
303.0ms
(sqrt (+ (* (pow (exp x) 3) (pow (exp x) 3)) (- (* (pow 1 3) (pow 1 3)) (* (pow (exp x) 3) (pow 1 3)))))
302.0ms
(* (* (* (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (+ (exp x) 1))) (* (* (sqrt (+ (pow (exp x) 3) (pow 1 3))) (sqrt (+ (pow (exp x) 3) (pow 1 3)))) (sqrt (+ (pow (exp x) 3) (pow 1 3)))))
287.0ms
(sqrt (* (+ (pow (exp x) 3) 1) (+ (exp x) 1)))

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch8.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
5.4s6684×body10240exit
2.0s12718×body80nan
1.3s7443×body80valid
199.0ms700×body160valid