Details

Time bar (total: 24.8s)

sample59.0ms

Algorithm
intervals
Results
21.0ms55×body1280valid
16.0ms39×body640valid
8.0ms132×body80valid
3.0ms19×body320valid
1.0ms11×body160valid

simplify153.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
153.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize12.0ms

Local error

Found 3 expressions with local error:

3.0b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
23×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-cbrt-cube add-exp-log distribute-lft-out
4×associate-/r* difference-of-squares
3×pow1 insert-posit16 associate-/l*
2×flip3-+ difference-of-sqr-1 associate-/r/ flip-+
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log div-exp div-inv flip-- distribute-lft-out--
Counts
3 → 67
Calls
3 calls:
Slowest
72.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
9.0ms
(/ 2 (+ 1 (exp (* -2 x))))
5.0ms
(+ 1 (exp (* -2 x)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
66.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
35.0ms
(/ 2 (+ 1 (exp (* -2 x))))
17.0ms
(+ 1 (exp (* -2 x)))

simplify6.7s

Counts
57 → 76
Calls
57 calls:
Slowest
645.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
341.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
218.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
190.0ms
(- (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) (sqrt 1))
189.0ms
(- (+ x 1) (* 1/3 (pow x 3)))

prune581.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

3.0b
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b
(/ 2 (+ (exp (* -2 x)) 1))
0.0b
(+ (exp (* -2 x)) 1)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
23×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-cbrt-cube add-exp-log distribute-lft-out
4×associate-/r* difference-of-squares
3×pow1 insert-posit16 associate-/l*
2×flip3-+ difference-of-sqr-1 associate-/r/ flip-+
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log div-exp div-inv flip-- distribute-lft-out--
Counts
3 → 67
Calls
3 calls:
Slowest
73.0ms
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
13.0ms
(/ 2 (+ (exp (* -2 x)) 1))
8.0ms
(+ (exp (* -2 x)) 1)

series107.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
62.0ms
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
29.0ms
(/ 2 (+ (exp (* -2 x)) 1))
16.0ms
(+ (exp (* -2 x)) 1)

simplify6.8s

Counts
57 → 76
Calls
57 calls:
Slowest
407.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
334.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))
239.0ms
(+ (* (exp (* -2 x)) (exp (* -2 x))) (- (* 1 1) (* (exp (* -2 x)) 1)))
196.0ms
(- (+ x 1) (* 1/3 (pow x 3)))
187.0ms
(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp (* -2 x)) 1)) (cbrt (+ (exp (* -2 x)) 1))))

prune680.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

18.9b
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
0.2b
(* (* x x) -1/3)
0.1b
(* (* (* x x) -1/3) x)
0.0b
(* (pow x 5) 2/15)

rewrite389.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
20×add-cbrt-cube
18×pow1
15×add-sqr-sqrt
12×prod-exp
10×cbrt-unprod
9×*-un-lft-identity associate-*r* associate-*l* pow-prod-down add-cube-cbrt add-log-exp
4×unpow-prod-down insert-posit16 unswap-sqr
3×sum-log *-commutative
2×sqr-pow
1×pow-to-exp +-commutative associate-+l+ flip3-+ pow-exp flip-+
Counts
4 → 82
Calls
4 calls:
Slowest
295.0ms
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
50.0ms
(* (* (* x x) -1/3) x)
27.0ms
(* (* x x) -1/3)
15.0ms
(* (pow x 5) 2/15)

series252.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
66.0ms
(* (* (* x x) -1/3) x)
58.0ms
(* (pow x 5) 2/15)
27.0ms
(* (* x x) -1/3)

simplify4.4s

Counts
55 → 94
Calls
55 calls:
Slowest
675.0ms
(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
386.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
349.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
298.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
232.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))

prune906.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.7b

bsearch200.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s1718×body1280valid
1.0s1300×body640valid
367.0ms4046×body80valid
239.0ms609×body320valid
102.0ms327×body160valid