Details

Time bar (total: 17.6s)

sample75.0ms

Algorithm
intervals
Results
34.0ms62×body640valid
14.0ms137×body80valid
12.0ms37×body320valid
5.0ms20×body160valid

simplify25.0ms

Calls
1 calls:
Slowest
25.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize25.0ms

Local error

Found 2 expressions with local error:

1.8b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
5×add-sqr-sqrt div-inv distribute-lft-out--
4×associate-/r/ add-log-exp
3×pow1 associate-/r* add-exp-log add-cube-cbrt flip--
2×flip3-- add-cbrt-cube insert-posit16
1×rec-exp clear-num sub-neg frac-2neg diff-log frac-sub flip-+ pow-flip inv-pow difference-of-squares
Calls
2 calls:
Slowest
12.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
2.0ms
(/ 1 (- x 1))

series45.0ms

Calls
2 calls:
Slowest
26.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
19.0ms
(/ 1 (- x 1))

simplify1.6s

Calls
23 calls:
Slowest
328.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
324.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
217.0ms
(- (* 1 (- x 1)) (* (+ x 1) 1))
89.0ms
(- (- x 1) (+ x 1))
85.0ms
(- (+ x (+ (pow x 2) 1)))

prune324.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (- (* x x) 1))
0.0b
(* (/ 1 (- (* x x) 1)) -2)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×associate-*l*
4×add-sqr-sqrt associate-/r* *-un-lft-identity associate-/r/ add-cube-cbrt
3×pow1 add-exp-log
2×flip3-- add-cbrt-cube insert-posit16 div-inv flip-- add-log-exp
1×rec-exp clear-num frac-2neg difference-of-sqr-1 associate-*l/ *-commutative pow-flip inv-pow
Calls
2 calls:
Slowest
8.0ms
(* (/ 1 (- (* x x) 1)) -2)
5.0ms
(/ 1 (- (* x x) 1))

series39.0ms

Calls
2 calls:
Slowest
20.0ms
(/ 1 (- (* x x) 1))
19.0ms
(* (/ 1 (- (* x x) 1)) -2)

simplify1.7s

Calls
18 calls:
Slowest
316.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
315.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
188.0ms
(/ 1 (- (* (* x x) (* x x)) (* 1 1)))
150.0ms
(/ 1 (- (pow (* x x) 3) (pow 1 3)))
149.0ms
(* (cbrt (/ 1 (- (* x x) 1))) (cbrt (/ 1 (- (* x x) 1))))

prune267.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

15.7b
(cbrt (- (* x x) 1))
15.7b
(cbrt (- (* x x) 1))
15.7b
(cbrt (- (* x x) 1))
0.8b
(/ 1 (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×cbrt-prod
10×pow1
9×flip3-- flip--
8×associate-/r/
7×add-sqr-sqrt *-un-lft-identity pow1/3 add-exp-log add-cube-cbrt pow-flip
4×frac-times add-cbrt-cube insert-posit16 add-log-exp
3×difference-of-sqr-1
2×rec-exp pow-prod-down associate-*l/ associate-*r/ pow-prod-up
1×pow2 clear-num associate-/r* frac-2neg pow-plus prod-exp div-inv inv-pow
Calls
4 calls:
Slowest
26.0ms
(/ 1 (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))
3.0ms
(cbrt (- (* x x) 1))
3.0ms
(cbrt (- (* x x) 1))
3.0ms
(cbrt (- (* x x) 1))

series437.0ms

Calls
4 calls:
Slowest
112.0ms
(cbrt (- (* x x) 1))
109.0ms
(cbrt (- (* x x) 1))
109.0ms
(cbrt (- (* x x) 1))
108.0ms
(/ 1 (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))

simplify4.7s

Calls
46 calls:
Slowest
689.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
390.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
334.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
168.0ms
(cbrt (- (* (* x x) (* x x)) (* 1 1)))
168.0ms
(- (pow (/ 1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))

prune955.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

15.7b
(cbrt (- (* x x) 1))
15.7b
(cbrt (- (* x x) 1))
0.8b
(/ 1 (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))
0.3b
(cbrt (- x 1))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
11×cbrt-prod
10×pow1
9×flip3-- flip--
8×associate-/r/
7×add-sqr-sqrt *-un-lft-identity pow1/3 add-exp-log add-cube-cbrt pow-flip
4×frac-times add-cbrt-cube insert-posit16 add-log-exp
2×rec-exp difference-of-sqr-1 pow-prod-down associate-*l/ associate-*r/ pow-prod-up
1×pow2 clear-num associate-/r* frac-2neg pow-plus prod-exp div-inv inv-pow
Calls
4 calls:
Slowest
10.0ms
(/ 1 (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))
2.0ms
(cbrt (- (* x x) 1))
2.0ms
(cbrt (- (* x x) 1))
1.0ms
(cbrt (- x 1))

series440.0ms

Calls
4 calls:
Slowest
147.0ms
(cbrt (- (* x x) 1))
138.0ms
(/ 1 (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))
105.0ms
(cbrt (- (* x x) 1))
51.0ms
(cbrt (- x 1))

simplify4.0s

Calls
45 calls:
Slowest
409.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
387.0ms
(- (* (pow (* x -1) 1/3) (cbrt -1)) (+ (* 1/9 (* (pow (/ -1 (pow x 5)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ -1 (pow x 2)) 1/3) (cbrt -1)))))
286.0ms
(- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3)))))
277.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
178.0ms
(- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3))))

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
683.0ms1923×body640valid
382.0ms4203×body80valid
335.0ms1252×body320valid
120.0ms622×body160valid