Details

Time bar (total: 36.8s)

sample24.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
14.0ms
(/ x (+ (* x x) 1))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize14.0ms

Local error

Found 1 expressions with local error:

14.5b
(/ x (+ (* x x) 1))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
Slowest
27.0ms
(/ x (+ (* x x) 1))

series49.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
49.0ms
(/ x (+ (* x x) 1))

simplify1.7s

Counts
30 → 33
Calls
30 calls:
Slowest
355.0ms
(/ (* (* x x) x) (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)))
352.0ms
(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
211.0ms
(- (+ x (pow x 5)) (pow x 3))
199.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
179.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune222.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

15.0b
(cbrt (+ (* x x) 1))
15.0b
(cbrt (+ (* x x) 1))
15.0b
(cbrt (+ (* x x) 1))
7.3b
(* (/ 1 (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1)))) (/ x (cbrt (+ (* x x) 1))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp insert-posit16 add-log-exp
3×pow1/3 associate-*l/ associate-*r/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 123
Calls
4 calls:
Slowest
144.0ms
(* (/ 1 (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1)))) (/ x (cbrt (+ (* x x) 1))))
8.0ms
(cbrt (+ (* x x) 1))
8.0ms
(cbrt (+ (* x x) 1))
8.0ms
(cbrt (+ (* x x) 1))

series412.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
130.0ms
(cbrt (+ (* x x) 1))
119.0ms
(cbrt (+ (* x x) 1))
115.0ms
(cbrt (+ (* x x) 1))
48.0ms
(* (/ 1 (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1)))) (/ x (cbrt (+ (* x x) 1))))

simplify14.2s

Counts
107 → 135
Calls
107 calls:
Slowest
784.0ms
(* (* (* (/ 1 (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1)))) (/ 1 (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1))))) (/ 1 (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1))))) (/ (* (* x x) x) (+ (* x x) 1)))
607.0ms
(* (/ (* (* 1 1) 1) (* (+ (* x x) 1) (+ (* x x) 1))) (/ (* (* x x) x) (+ (* x x) 1)))
477.0ms
(cbrt (+ (pow (* x x) 3) (pow 1 3)))
433.0ms
(/ 1 (* (cbrt (+ (pow (* x x) 3) (pow 1 3))) (cbrt (+ (* x x) 1))))
417.0ms
(/ 1 (* (cbrt (+ (* x x) 1)) (cbrt (+ (pow (* x x) 3) (pow 1 3)))))

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

20.2b
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
0.3b
(/ 1 (pow x 5))
0.1b
(* (* x x) x)
0.1b
(/ 1 (* (* x x) x))

rewrite230.0ms

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
159.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
29.0ms
(/ 1 (* (* x x) x))
28.0ms
(* (* x x) x)
11.0ms
(/ 1 (pow x 5))

series247.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
86.0ms
(/ 1 (pow x 5))
59.0ms
(* (* x x) x)
55.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
47.0ms
(/ 1 (* (* x x) x))

simplify16.2s

Counts
135 → 167
Calls
135 calls:
Slowest
1.1s
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
1.0s
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
891.0ms
(* (* x (pow x 5)) (* (* x x) x))
615.0ms
(- (* (- (* (/ 1 x) (/ 1 x)) (* (/ 1 (pow x 5)) (/ 1 (pow x 5)))) (* (* x x) x)) (* (- (/ 1 x) (/ 1 (pow x 5))) 1))
585.0ms
(/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 5))

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.4b

bsearch88.0ms

end0.0ms

sample533.0ms

Algorithm
intervals
Results
452.0ms8000×body80valid