Details

Time bar (total: 53.6s)

sample28.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify23.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
22.0ms
(/ x (+ (* x x) 1))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize16.0ms

Local error

Found 2 expressions with local error:

16.2b
(/ x (+ (* x x) 1))
0.0b
(+ (* x x) 1)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 42
Calls
2 calls:
Slowest
21.0ms
(/ x (+ (* x x) 1))
12.0ms
(+ (* x x) 1)

series112.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
67.0ms
(/ x (+ (* x x) 1))
46.0ms
(+ (* x x) 1)

simplify1.9s

Counts
34 → 48
Calls
34 calls:
Slowest
348.0ms
(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
343.0ms
(/ (* (* x x) x) (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)))
255.0ms
(- (+ x (pow x 5)) (pow x 3))
232.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
195.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune363.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

16.4b
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
0.6b
(/ 1 (* (* x x) x))
0.1b
(/ 1 (pow x 5))
0.1b
(* (* x x) x)

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
39×add-exp-log
38×*-un-lft-identity
26×add-sqr-sqrt
24×times-frac
23×add-cube-cbrt
20×add-cbrt-cube
15×div-inv
13×pow-flip
12×unpow-prod-down pow-plus div-exp prod-exp pow-prod-up
10×distribute-lft-out--
9×add-log-exp
8×associate-/r* distribute-lft-out
6×rec-exp 1-exp pow-prod-down cbrt-unprod associate-/l*
4×pow2 cbrt-undiv pow-sqr insert-posit16 sqr-pow
3×pow-to-exp associate-*r* pow-exp frac-sub
2×clear-num frac-2neg diff-log pow3 inv-pow
1×sum-log sub-neg flip3-+ flip3-- associate-*l* frac-add associate--l+ *-commutative flip-+ flip-- difference-of-squares unswap-sqr
Counts
4 → 155
Calls
4 calls:
Slowest
137.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
35.0ms
(/ 1 (* (* x x) x))
15.0ms
(* (* x x) x)
6.0ms
(/ 1 (pow x 5))

series202.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
58.0ms
(/ 1 (pow x 5))
57.0ms
(* (* x x) x)
51.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
36.0ms
(/ 1 (* (* x x) x))

simplify15.9s

Counts
135 → 167
Calls
135 calls:
Slowest
1.1s
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
1.1s
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
668.0ms
(- (* (- (* (/ 1 x) (/ 1 x)) (* (/ 1 (pow x 5)) (/ 1 (pow x 5)))) (* (* x x) x)) (* (- (/ 1 x) (/ 1 (pow x 5))) 1))
537.0ms
(/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 5))
532.0ms
(* (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (* (/ 1 x) (/ 1 (pow x 5))))) (* (* x x) x))

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

29.5b
(* (/ x (+ (pow (* x x) 3) (pow 1 3))) (+ 1 (- (* (* x x) (* x x)) (* x x))))
13.8b
(- (* (* x x) (* x x)) (* x x))
1.0b
(/ x (+ (pow (* x x) 3) (pow 1 3)))
0.1b
(* (* x x) (* x x))

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
117×pow1
49×*-un-lft-identity
37×times-frac
36×pow-prod-up
31×add-sqr-sqrt
26×add-cube-cbrt
25×associate-*l*
24×pow-prod-down
23×add-cbrt-cube add-exp-log
22×pow-sqr
18×pow-plus
15×distribute-lft-out
13×pow2
10×prod-exp cbrt-unprod
7×cube-mult sum-cubes
6×associate-/r* add-log-exp
5×associate-*r*
4×flip3-+ associate-/r/ flip-+ insert-posit16
3×associate-/l* unswap-sqr
2×frac-times cbrt-undiv div-exp associate-*r/ *-commutative div-inv
1×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-- diff-log swap-sqr associate-*l/ flip-- difference-of-squares
Counts
4 → 171
Calls
4 calls:
Slowest
293.0ms
(* (/ x (+ (pow (* x x) 3) (pow 1 3))) (+ 1 (- (* (* x x) (* x x)) (* x x))))
45.0ms
(- (* (* x x) (* x x)) (* x x))
26.0ms
(/ x (+ (pow (* x x) 3) (pow 1 3)))
23.0ms
(* (* x x) (* x x))

series639.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
295.0ms
(/ x (+ (pow (* x x) 3) (pow 1 3)))
153.0ms
(* (/ x (+ (pow (* x x) 3) (pow 1 3))) (+ 1 (- (* (* x x) (* x x)) (* x x))))
127.0ms
(- (* (* x x) (* x x)) (* x x))
64.0ms
(* (* x x) (* x x))

simplify29.9s

Counts
174 → 183
Calls
174 calls:
Slowest
922.0ms
(/ x (+ (pow (pow (* x x) 3) 3) (pow (pow 1 3) 3)))
783.0ms
(* (* (* (/ x (+ (pow (* x x) 3) (pow 1 3))) (/ x (+ (pow (* x x) 3) (pow 1 3)))) (/ x (+ (pow (* x x) 3) (pow 1 3)))) (* (* (+ 1 (- (* (* x x) (* x x)) (* x x))) (+ 1 (- (* (* x x) (* x x)) (* x x)))) (+ 1 (- (* (* x x) (* x x)) (* x x)))))
770.0ms
(* (/ (* (* x x) x) (* (* (+ (pow (* x x) 3) (pow 1 3)) (+ (pow (* x x) 3) (pow 1 3))) (+ (pow (* x x) 3) (pow 1 3)))) (* (* (+ 1 (- (* (* x x) (* x x)) (* x x))) (+ 1 (- (* (* x x) (* x x)) (* x x)))) (+ 1 (- (* (* x x) (* x x)) (* x x)))))
641.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 (pow x 17))) (/ 1 (pow x 11)))
515.0ms
(/ (sqrt x) (sqrt (+ (pow (* x x) 3) (pow 1 3))))

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.3b

bsearch104.0ms

end0.0ms

sample629.0ms

Algorithm
intervals
Results
542.0ms8000×body80valid