Details

Time bar (total: 45.5s)

sample111.0ms

Algorithm
intervals
Results
43.0ms64×body1280valid
22.0ms45×body640valid
21.0ms116×body80valid
7.0ms20×body320valid
2.0ms11×body160valid

simplify145.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize27.0ms

Local error

Found 3 expressions with local error:

3.2b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite126.0ms

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
94.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
20.0ms
(/ 2 (+ 1 (exp (* -2 x))))
10.0ms
(+ 1 (exp (* -2 x)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
96.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
27.0ms
(/ 2 (+ 1 (exp (* -2 x))))
18.0ms
(+ 1 (exp (* -2 x)))

simplify6.8s

Counts
57 → 76
Calls
57 calls:
Slowest
376.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
352.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
280.0ms
(- (+ x 1) (* 1/3 (pow x 3)))
260.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
197.0ms
(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x))))))

prune725.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

17.3b
(+ (+ (* (* (* 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)

rewrite405.0ms

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
326.0ms
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
52.0ms
(* (* (* x x) -1/3) x)
14.0ms
(* (* x x) -1/3)
12.0ms
(* (pow x 5) 2/15)

series257.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
85.0ms
(* (pow x 5) 2/15)
72.0ms
(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
69.0ms
(* (* (* x x) -1/3) x)
31.0ms
(* (* x x) -1/3)

simplify4.5s

Counts
55 → 94
Calls
55 calls:
Slowest
598.0ms
(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
397.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
349.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
343.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
282.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))

prune769.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

3.2b
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b
(/ 2 (+ (exp (* -2 x)) 1))
0.0b
(+ (exp (* -2 x)) 1)

rewrite104.0ms

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
83.0ms
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
12.0ms
(/ 2 (+ (exp (* -2 x)) 1))
8.0ms
(+ (exp (* -2 x)) 1)

series105.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
74.0ms
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
20.0ms
(/ 2 (+ (exp (* -2 x)) 1))
11.0ms
(+ (exp (* -2 x)) 1)

simplify5.9s

Counts
57 → 76
Calls
57 calls:
Slowest
307.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
268.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))
241.0ms
(- (+ x 1) (* 1/3 (pow x 3)))
203.0ms
(+ (* (exp (* -2 x)) (exp (* -2 x))) (- (* 1 1) (* (exp (* -2 x)) 1)))
156.0ms
(- (* 2 (/ 1 (+ (exp (* -2 x)) 1))) 1)

prune658.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

3.6b
(- (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1)
0.2b
(* (+ (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1) (- (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1))
0.0b
(/ 2 (+ (exp (* -2 x)) 1))
0.0b
(/ 2 (+ (exp (* -2 x)) 1))

rewrite551.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
55×*-un-lft-identity
30×times-frac
24×add-cube-cbrt
15×sqrt-prod
14×associate-*r*
12×difference-of-squares
10×add-cbrt-cube add-exp-log distribute-lft-out
8×associate-/r*
6×pow1 difference-of-sqr-1 associate-/l* add-log-exp
5×flip3-+ associate-*l* flip-+
4×frac-times flip3-- associate-/r/ insert-posit16 flip-- distribute-lft-out--
3×sub-neg
2×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in div-exp associate-*l/ associate-*r/ div-inv
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 136
Calls
4 calls:
Slowest
399.0ms
(* (+ (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1) (- (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1))
95.0ms
(- (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1)
26.0ms
(/ 2 (+ (exp (* -2 x)) 1))
26.0ms
(/ 2 (+ (exp (* -2 x)) 1))

series583.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
386.0ms
(* (+ (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1) (- (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1))
134.0ms
(- (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1)
35.0ms
(/ 2 (+ (exp (* -2 x)) 1))
27.0ms
(/ 2 (+ (exp (* -2 x)) 1))

simplify19.2s

Counts
137 → 148
Calls
137 calls:
Slowest
629.0ms
(* (- (* (sqrt (/ 2 (+ (exp (* -2 x)) 1))) (sqrt (/ 2 (+ (exp (* -2 x)) 1)))) (* 1 1)) (- (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1))
587.0ms
(* (+ (* (sqrt (/ 2 (+ (exp (* -2 x)) 1))) (sqrt (/ 2 (+ (exp (* -2 x)) 1)))) (- (* 1 1) (* (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1))) (+ (* (sqrt (/ 2 (+ (exp (* -2 x)) 1))) (sqrt (/ 2 (+ (exp (* -2 x)) 1)))) (+ (* 1 1) (* (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1))))
503.0ms
(* (+ (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) (- (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1))
482.0ms
(* (- (* (sqrt (/ 2 (+ (exp (* -2 x)) 1))) (sqrt (/ 2 (+ (exp (* -2 x)) 1)))) (* 1 1)) (- (pow (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow 1 3)))
427.0ms
(* (+ (pow (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow 1 3)) (- (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1))

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes149.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 30.5b

bsearch130.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
904.0ms1720×body1280valid
718.0ms4009×body80valid
506.0ms1315×body640valid
209.0ms631×body320valid
80.0ms325×body160valid