Details

Time bar (total: 39.4s)

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
16.0ms
(/ x (+ (* x x) 1))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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
16.0ms
(/ x (+ (* x x) 1))

series53.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
53.0ms
(/ x (+ (* x x) 1))

simplify1.9s

Counts
30 → 33
Calls
30 calls:
Slowest
382.0ms
(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
370.0ms
(/ (* (* x x) x) (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)))
214.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
209.0ms
(- (+ x (pow x 5)) (pow x 3))
204.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune193.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

22.4b
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
2.5b
(/ x (- (* (* x x) (* x x)) (* 1 1)))
0.1b
(* (* x x) (* x x))

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
116×pow1
36×pow-prod-up
27×add-sqr-sqrt
25×times-frac
24×pow-prod-down
22×*-un-lft-identity add-cbrt-cube add-exp-log pow-sqr
21×add-cube-cbrt
19×associate-*l*
18×pow-plus
13×pow2
10×prod-exp cbrt-unprod
9×difference-of-squares
7×associate-*r*
4×associate-/r* flip3-- associate-/r/ flip--
3×insert-posit16 associate-/l* add-log-exp unswap-sqr
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in div-exp associate-*r/ *-commutative div-inv
1×clear-num frac-2neg difference-of-sqr-1 swap-sqr associate-*l/
Counts
3 → 147
Calls
3 calls:
Slowest
223.0ms
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
46.0ms
(/ x (- (* (* x x) (* x x)) (* 1 1)))
27.0ms
(* (* x x) (* x x))

series329.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
154.0ms
(/ x (- (* (* x x) (* x x)) (* 1 1)))
133.0ms
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
42.0ms
(* (* x x) (* x x))

simplify16.2s

Counts
152 → 156
Calls
152 calls:
Slowest
506.0ms
(* (sqrt (/ x (- (* (* x x) (* x x)) (* 1 1)))) (sqrt (- (* x x) 1)))
482.0ms
(* (sqrt (/ x (- (* (* x x) (* x x)) (* 1 1)))) (sqrt (- (* x x) 1)))
418.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
372.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x)))
356.0ms
(* (- (* (* x x) (* x x)) (* 1 1)) (+ (* x x) 1))

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

18.0b
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
0.2b
(/ 1 (* (* x x) x))
0.1b
(/ 1 (pow x 5))
0.1b
(* (* x x) x)

rewrite215.0ms

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
160.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
27.0ms
(/ 1 (* (* x x) x))
15.0ms
(* (* x x) x)
10.0ms
(/ 1 (pow x 5))

series246.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
83.0ms
(/ 1 (pow x 5))
65.0ms
(* (* x x) x)
50.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
47.0ms
(/ 1 (* (* x x) x))

simplify16.5s

Counts
135 → 167
Calls
135 calls:
Slowest
948.0ms
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
943.0ms
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
695.0ms
(- (sqrt (+ (/ 1 x) (/ 1 (pow x 5)))) (sqrt (/ 1 (* (* x x) x))))
687.0ms
(- (* (- (* (/ 1 x) (/ 1 x)) (* (/ 1 (pow x 5)) (/ 1 (pow x 5)))) (* (* x x) x)) (* (- (/ 1 x) (/ 1 (pow x 5))) 1))
521.0ms
(/ (* (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

regimes107.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.3b

bsearch63.0ms

end0.0ms

sample688.0ms

Algorithm
intervals
Results
573.0ms8000×body80valid