Details

Time bar (total: 2.0m)

sample94.0ms

Algorithm
intervals
Results
31.0ms43×body1280valid
24.0ms51×body640valid
14.0ms134×body80valid
7.0ms20×body320valid
2.0ms8×body160valid

simplify142.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
142.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize13.0ms

Local error

Found 1 expressions with local error:

2.5b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
5×*-un-lft-identity
4×difference-of-squares
3×times-frac add-log-exp
2×difference-of-sqr-1
1×pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out--
Counts
1 → 20
Calls
1 calls:
Slowest
49.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series78.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
78.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify2.4s

Counts
15 → 23
Calls
15 calls:
Slowest
391.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
176.0ms
(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt 1))
160.0ms
(+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
150.0ms
(- (* 2 (/ 1 (+ (exp (* -2 x)) 1))) 1)
149.0ms
(+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt 1))

prune218.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

2.5b
(- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3))
0.0b
(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
0.0b
(+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
0.0b
(pow (/ 2 (+ 1 (exp (* -2 x)))) 3)

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
134×*-un-lft-identity
129×add-sqr-sqrt
100×times-frac
57×add-cube-cbrt
46×unpow-prod-down cube-prod
36×difference-of-squares
24×swap-sqr distribute-lft-out
19×add-cbrt-cube add-exp-log
18×associate-*r* associate-*l*
13×sqr-pow
12×pow1 associate-/r/
11×add-log-exp
10×flip3-+ flip-+
6×frac-add div-inv distribute-lft-out--
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod insert-posit16 unswap-sqr
3×frac-times pow-unpow sum-log associate-*l/ associate-*r/
2×cube-mult pow-exp rem-cube-cbrt
1×cube-div pow2 pow-to-exp difference-cubes +-commutative associate-+r+ sub-neg pow-pow pow-plus flip3-- diff-log unpow3 pow-prod-down pow-sqr *-commutative pow-prod-up flip--
Counts
4 → 222
Calls
4 calls:
Slowest
158.0ms
(- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3))
63.0ms
(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
46.0ms
(+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
12.0ms
(pow (/ 2 (+ 1 (exp (* -2 x)))) 3)

series320.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3))
91.0ms
(+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
43.0ms
(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
43.0ms
(pow (/ 2 (+ 1 (exp (* -2 x)))) 3)

simplify1.1m

Counts
264 → 234
Calls
264 calls:
Slowest
876.0ms
(* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ (* (* 1 1) (* 1 1)) (- (* (* (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)) (* (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))))
794.0ms
(pow (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) 3)
738.0ms
(* (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))))
727.0ms
(+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
679.0ms
(+ (pow (/ 2 (+ 1 (exp (* -2 x)))) (/ 3 2)) (pow 1 3))

prune3.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

20.1b
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
0.2b
(* (* x x) -1/3)
0.1b
(* (* (* x x) -1/3) x)
0.1b
(* (pow x 5) 2/15)

rewrite417.0ms

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
350.0ms
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
41.0ms
(* (* (* x x) -1/3) x)
17.0ms
(* (* x x) -1/3)
8.0ms
(* (pow x 5) 2/15)

series256.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
92.0ms
(* (pow x 5) 2/15)
66.0ms
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
64.0ms
(* (* (* x x) -1/3) x)
35.0ms
(* (* x x) -1/3)

simplify4.3s

Counts
55 → 94
Calls
55 calls:
Slowest
558.0ms
(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
362.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
355.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
348.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
266.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/3 -1/3) -1/3))

prune841.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

2.5b
(- (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1))
2.5b
(- (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1))
2.5b
(- (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
2.5b
(- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3))

rewrite313.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
37×difference-of-squares
28×unpow-prod-down cube-prod
27×*-un-lft-identity
12×times-frac add-log-exp sqr-pow
6×distribute-lft-out--
4×pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip--
2×distribute-rgt-out--
1×cube-mult difference-cubes
Counts
4 → 98
Calls
4 calls:
Slowest
169.0ms
(- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3))
108.0ms
(- (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
19.0ms
(- (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1))
13.0ms
(- (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1))

series350.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
113.0ms
(- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3))
93.0ms
(- (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
77.0ms
(- (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1))
67.0ms
(- (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1))

simplify35.3s

Counts
104 → 110
Calls
104 calls:
Slowest
828.0ms
(- (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow (sqrt 1) 3))
555.0ms
(- (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow 1 (/ 3 2)))
543.0ms
(- (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow 1 3))
542.0ms
(- (* 8 (/ 1 (pow (+ (exp (* -2 x)) 1) 3))) 1)
539.0ms
(- (pow (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) 3) (pow 1 (/ 3 2)))

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes459.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.4b

bsearch190.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
905.0ms1654×body1280valid
850.0ms4083×body80valid
569.0ms1302×body640valid
269.0ms627×body320valid
93.0ms334×body160valid