Details

Time bar (total: 38.9s)

sample20.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify16.0ms

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))

rewrite21.0ms

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
Calls
1 calls:
Slowest
21.0ms
(/ x (+ (* x x) 1))

series59.0ms

Calls
1 calls:
Slowest
59.0ms
(/ x (+ (* x x) 1))

simplify1.9s

Calls
30 calls:
Slowest
407.0ms
(/ (* (* x x) x) (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)))
370.0ms
(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
222.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
204.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
195.0ms
(- (+ x (pow x 5)) (pow x 3))

prune240.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

22.1b
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
1.5b
(/ x (- (* (* x x) (* x x)) (* 1 1)))
0.1b
(* (* x x) (* x x))

rewrite332.0ms

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/
Calls
3 calls:
Slowest
248.0ms
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
42.0ms
(/ x (- (* (* x x) (* x x)) (* 1 1)))
39.0ms
(* (* x x) (* x x))

series335.0ms

Calls
3 calls:
Slowest
149.0ms
(/ x (- (* (* x x) (* x x)) (* 1 1)))
126.0ms
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
59.0ms
(* (* x x) (* x x))

simplify16.2s

Calls
152 calls:
Slowest
484.0ms
(* (sqrt (/ x (- (* (* x x) (* x x)) (* 1 1)))) (sqrt (- (* x x) 1)))
436.0ms
(* (sqrt (/ x (- (* (* x x) (* x x)) (* 1 1)))) (sqrt (- (* x x) 1)))
377.0ms
(* (- (* (* x x) (* x x)) (* 1 1)) (+ (* x x) 1))
361.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
353.0ms
(+ (- (log x) (log (- (* (* x x) (* x x)) (* 1 1)))) (log (- (* x x) 1)))

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

22.1b
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
0.2b
(/ 1 (pow x 5))
0.2b
(/ 1 (* (* x x) x))
0.1b
(* (* x x) x)

rewrite275.0ms

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
Calls
4 calls:
Slowest
182.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
49.0ms
(/ 1 (* (* x x) x))
29.0ms
(* (* x x) x)
11.0ms
(/ 1 (pow x 5))

series208.0ms

Calls
4 calls:
Slowest
63.0ms
(/ 1 (pow x 5))
61.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
46.0ms
(/ 1 (* (* x x) x))
38.0ms
(* (* x x) x)

simplify15.9s

Calls
135 calls:
Slowest
951.0ms
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
934.0ms
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
757.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
647.0ms
(/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 5))
613.0ms
(- (* (- (* (/ 1 x) (/ 1 x)) (* (/ 1 (pow x 5)) (/ 1 (pow x 5)))) (* (* x x) x)) (* (- (/ 1 x) (/ 1 (pow x 5))) 1))

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.6b

bsearch120.0ms

end0.0ms

sample591.0ms

Algorithm
intervals
Results
487.0ms8000×body80valid