Details

Time bar (total: 23.4s)

sample71.0ms

Algorithm
intervals
Results
22.0ms44×body1280valid
16.0ms49×body640valid
9.0ms123×body80valid
6.0ms25×body320valid
3.0ms15×body160valid

simplify145.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
145.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize33.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite105.0ms

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
87.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
12.0ms
(/ 2 (+ 1 (exp (* -2 x))))
5.0ms
(+ 1 (exp (* -2 x)))

series120.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
65.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
38.0ms
(/ 2 (+ 1 (exp (* -2 x))))
18.0ms
(+ 1 (exp (* -2 x)))

simplify6.8s

Counts
57 → 76
Calls
57 calls:
Slowest
353.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
353.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
253.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
202.0ms
(- (+ x 1) (* 1/3 (pow x 3)))
183.0ms
(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x))))))

prune658.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

16.6b
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
0.4b
(* (* x x) -1/3)
0.1b
(* (* (* x x) -1/3) x)
0.1b
(* (pow x 5) 2/15)

rewrite406.0ms

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
307.0ms
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
62.0ms
(* (* (* x x) -1/3) x)
18.0ms
(* (* x x) -1/3)
16.0ms
(* (pow x 5) 2/15)

series250.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
72.0ms
(* (pow x 5) 2/15)
55.0ms
(* (* (* x x) -1/3) x)
45.0ms
(* (* x x) -1/3)

simplify4.3s

Counts
55 → 94
Calls
55 calls:
Slowest
585.0ms
(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
341.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
336.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
330.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
300.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))

prune854.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite83.0ms

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
55.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
18.0ms
(/ 2 (+ 1 (exp (* -2 x))))
9.0ms
(+ 1 (exp (* -2 x)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
59.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
27.0ms
(/ 2 (+ 1 (exp (* -2 x))))
11.0ms
(+ 1 (exp (* -2 x)))

simplify5.9s

Counts
57 → 76
Calls
57 calls:
Slowest
307.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
303.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
223.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
167.0ms
(* (exp 1) (exp (exp (* -2 x))))
160.0ms
(/ (sqrt 2) (+ 1 (exp (* -2 x))))

prune604.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes258.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.1b

bsearch124.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s1687×body1280valid
733.0ms1254×body640valid
364.0ms4087×body80valid
152.0ms654×body320valid
54.0ms318×body160valid