Details

Time bar (total: 31.8s)

sample352.0ms

Algorithm
intervals
Results
187.0ms224×body10240exit
79.0ms98×body1280valid
54.0ms88×body640valid
13.0ms36×body320valid
4.0ms18×body160valid
2.0ms16×body80valid

simplify52.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
52.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize32.0ms

Local error

Found 3 expressions with local error:

5.6b
(- (exp x) (exp (- x)))
1.5b
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
26×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
7×distribute-lft-out add-log-exp
6×distribute-lft-out-- difference-of-squares
5×add-cbrt-cube add-exp-log associate-/l*
4×associate-/r*
3×pow1 insert-posit16
2×flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub div-exp tanh-undef div-inv
Counts
3 → 76
Calls
3 calls:
Slowest
67.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
23.0ms
(+ (exp x) (exp (- x)))
11.0ms
(- (exp x) (exp (- x)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
90.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
45.0ms
(- (exp x) (exp (- x)))
42.0ms
(+ (exp x) (exp (- x)))

simplify4.2s

Counts
69 → 85
Calls
69 calls:
Slowest
590.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
389.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
334.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
305.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
274.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))

prune608.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 tanh-def add-log-exp
Counts
1 → 11
Calls
1 calls:
Slowest
1.0ms
(tanh x)

series106.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
106.0ms
(tanh x)

simplify636.0ms

Counts
3 → 14
Calls
3 calls:
Slowest
338.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
234.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
64.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite410.0ms

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
301.0ms
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
73.0ms
(* (* (* x x) -1/3) x)
18.0ms
(* (* x x) -1/3)
16.0ms
(* (pow x 5) 2/15)

series228.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(* (pow x 5) 2/15)
59.0ms
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
58.0ms
(* (* (* x x) -1/3) x)
41.0ms
(* (* x x) -1/3)

simplify4.3s

Counts
55 → 94
Calls
55 calls:
Slowest
637.0ms
(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
382.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
367.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
351.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
237.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/3 -1/3) -1/3))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

5.6b
(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ (exp (- x)) (+ (exp x) (exp (- x)))))
1.0b
(/ (exp x) (+ (exp x) (exp (- x))))
0.5b
(/ (exp (- x)) (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
40×times-frac
36×add-sqr-sqrt
24×add-cube-cbrt
13×distribute-lft-out
8×associate-/r* add-cbrt-cube associate-/r/ add-log-exp
7×distribute-lft-out--
6×add-exp-log associate-/l*
5×flip3-+ flip-+
4×pow1 insert-posit16 div-inv difference-of-squares
3×distribute-rgt-out--
2×cbrt-undiv clear-num frac-2neg div-exp associate-/l/
1×neg-sub0 exp-neg +-commutative sum-log sub-neg flip3-- exp-diff diff-log frac-sub flip-- sub-div
Counts
4 → 112
Calls
4 calls:
Slowest
164.0ms
(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ (exp (- x)) (+ (exp x) (exp (- x)))))
25.0ms
(/ (exp (- x)) (+ (exp x) (exp (- x))))
19.0ms
(+ (exp x) (exp (- x)))
18.0ms
(/ (exp x) (+ (exp x) (exp (- x))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
211.0ms
(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ (exp (- x)) (+ (exp x) (exp (- x)))))
49.0ms
(/ (exp (- x)) (+ (exp x) (exp (- x))))
45.0ms
(+ (exp x) (exp (- x)))
32.0ms
(/ (exp x) (+ (exp x) (exp (- x))))

simplify6.6s

Counts
115 → 124
Calls
115 calls:
Slowest
768.0ms
(/ (* (* (exp x) (exp x)) (exp x)) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
468.0ms
(- (* (exp x) (+ (exp x) (exp (- x)))) (* (+ (exp x) (exp (- x))) (exp (- x))))
347.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
291.0ms
(- (/ (exp x) (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ (exp (- x)) (+ (pow (exp x) 3) (pow (exp (- x)) 3))))
289.0ms
(- (+ (* 1/2 x) 1/2) (* 1/6 (pow x 3)))

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample11.2s

Algorithm
intervals
Results
6.3s7643×body10240exit
2.4s3309×body1280valid
1.7s2441×body640valid
352.0ms1212×body320valid
194.0ms645×body160valid
37.0ms393×body80valid