Details

Time bar (total: 24.1s)

sample93.0ms

Algorithm
intervals
Results
36.0ms52×body1280valid
15.0ms31×body640valid
14.0ms137×body80valid
8.0ms22×body320valid
3.0ms14×body160valid

simplify156.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
155.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize26.0ms

Local error

Found 3 expressions with local error:

3.5b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite67.0ms

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
51.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
10.0ms
(/ 2 (+ 1 (exp (* -2 x))))
5.0ms
(+ 1 (exp (* -2 x)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
63.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
28.0ms
(/ 2 (+ 1 (exp (* -2 x))))
11.0ms
(+ 1 (exp (* -2 x)))

simplify6.6s

Counts
57 → 76
Calls
57 calls:
Slowest
367.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
296.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
279.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
232.0ms
(- (+ x 1) (* 1/3 (pow x 3)))
206.0ms
(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x))))))

prune633.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

3.5b
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b
(/ 2 (+ (exp (* -2 x)) 1))
0.0b
(+ (exp (* -2 x)) 1)

rewrite110.0ms

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
89.0ms
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
12.0ms
(/ 2 (+ (exp (* -2 x)) 1))
8.0ms
(+ (exp (* -2 x)) 1)

series127.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
89.0ms
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
27.0ms
(/ 2 (+ (exp (* -2 x)) 1))
11.0ms
(+ (exp (* -2 x)) 1)

simplify6.7s

Counts
57 → 76
Calls
57 calls:
Slowest
425.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
299.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))
294.0ms
(- (+ x 1) (* 1/3 (pow x 3)))
221.0ms
(+ (* (exp (* -2 x)) (exp (* -2 x))) (- (* 1 1) (* (exp (* -2 x)) 1)))
171.0ms
(- (sqrt (/ 2 (+ (exp (* -2 x)) 1))) 1)

prune660.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

21.9b
(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))
0.3b
(* x -1/3)
0.1b
(* (* x x) (* x -1/3))
0.1b
(* (pow x 5) 2/15)

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
20×add-cbrt-cube
18×pow1
16×add-sqr-sqrt
12×prod-exp
11×associate-*l*
10×cbrt-unprod
9×*-un-lft-identity pow-prod-down add-cube-cbrt add-log-exp
7×associate-*r*
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
95.0ms
(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))
44.0ms
(* (* x x) (* x -1/3))
11.0ms
(* (pow x 5) 2/15)
10.0ms
(* x -1/3)

series200.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
72.0ms
(* (pow x 5) 2/15)
65.0ms
(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))
40.0ms
(* (* x x) (* x -1/3))
23.0ms
(* x -1/3)

simplify4.7s

Counts
54 → 94
Calls
54 calls:
Slowest
609.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* -1/3 -1/3) -1/3)))
590.0ms
(* (exp (+ (* (* x x) (* x -1/3)) x)) (exp (* (pow x 5) 2/15)))
454.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
408.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* -1/3 -1/3) -1/3)))
351.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune921.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

100% (0.0b remaining)

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

bsearch187.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.1s1716×body1280valid
595.0ms1224×body640valid
398.0ms4090×body80valid
198.0ms636×body320valid
61.0ms334×body160valid