Details

Time bar (total: 25.5s)

sample64.0ms

Algorithm
intervals
Results
23.0ms64×body640valid
13.0ms128×body80valid
10.0ms37×body320valid
7.0ms27×body160valid

simplify17.0ms

Calls
1 calls:
Slowest
17.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize12.0ms

Local error

Found 3 expressions with local error:

2.8b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
32×associate-/r/
22×*-un-lft-identity
20×add-sqr-sqrt
19×div-inv
18×add-cube-cbrt
9×flip-+ flip--
8×flip3-+ flip3--
6×associate-/r* fma-neg
5×pow1 add-exp-log distribute-lft-out-- add-log-exp
3×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u
2×rec-exp clear-num frac-2neg pow-flip inv-pow
1×sub-neg diff-log frac-sub difference-of-squares
Calls
3 calls:
Slowest
12.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
2.0ms
(/ 1 (- x 1))
2.0ms
(/ 1 (+ x 1))

series59.0ms

Calls
3 calls:
Slowest
38.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
10.0ms
(/ 1 (+ x 1))
10.0ms
(/ 1 (- x 1))

simplify14.3s

Calls
108 calls:
Slowest
675.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (+ x 1) (/ 1 (- (* x x) (* 1 1))))))
573.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
553.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
529.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
506.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))

prune833.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (fma x x -1))
0.0b
(* (/ 1 (fma x x -1)) -2)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
3×pow1 associate-/r* add-exp-log
2×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u div-inv add-log-exp
1×rec-exp clear-num frac-2neg associate-*l/ *-commutative pow-flip inv-pow
Calls
2 calls:
Slowest
3.0ms
(* (/ 1 (fma x x -1)) -2)
1.0ms
(/ 1 (fma x x -1))

series40.0ms

Calls
2 calls:
Slowest
23.0ms
(* (/ 1 (fma x x -1)) -2)
17.0ms
(/ 1 (fma x x -1))

simplify1.0s

Calls
13 calls:
Slowest
292.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
281.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
103.0ms
(- (+ (pow x 2) (+ (pow x 4) 1)))
94.0ms
(+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 2))
72.0ms
(* (cbrt (/ 1 (fma x x -1))) (cbrt (/ 1 (fma x x -1))))

prune352.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

17.6b
(cbrt (fma x x -1))
17.6b
(cbrt (fma x x -1))
17.6b
(cbrt (fma x x -1))
0.7b
(/ 1 (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity pow1/3 add-exp-log add-cube-cbrt pow-flip
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp pow-prod-down pow-prod-up
1×pow2 clear-num associate-/r* frac-2neg pow-plus prod-exp div-inv inv-pow
Calls
4 calls:
Slowest
6.0ms
(/ 1 (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
1.0ms
(cbrt (fma x x -1))
1.0ms
(cbrt (fma x x -1))
1.0ms
(cbrt (fma x x -1))

series508.0ms

Calls
4 calls:
Slowest
137.0ms
(cbrt (fma x x -1))
132.0ms
(/ 1 (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
131.0ms
(cbrt (fma x x -1))
108.0ms
(cbrt (fma x x -1))

simplify2.4s

Calls
29 calls:
Slowest
330.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
309.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
284.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
187.0ms
(- (pow (/ 1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))
187.0ms
(- (pow (/ 1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))

prune815.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

17.3b
(cbrt (/ 1 (fma x x -1)))
17.3b
(cbrt (/ 1 (fma x x -1)))
17.3b
(cbrt (/ 1 (fma x x -1)))
0.2b
(/ 1 (fma x x -1))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-div associate-/r* pow1/3
1×rec-exp clear-num frac-2neg pow-flip inv-pow
Calls
4 calls:
Slowest
2.0ms
(/ 1 (fma x x -1))
2.0ms
(cbrt (/ 1 (fma x x -1)))
1.0ms
(cbrt (/ 1 (fma x x -1)))
1.0ms
(cbrt (/ 1 (fma x x -1)))

series396.0ms

Calls
4 calls:
Slowest
129.0ms
(cbrt (/ 1 (fma x x -1)))
125.0ms
(cbrt (/ 1 (fma x x -1)))
119.0ms
(cbrt (/ 1 (fma x x -1)))
23.0ms
(/ 1 (fma x x -1))

simplify1.7s

Calls
31 calls:
Slowest
244.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
225.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
222.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
123.0ms
(- (+ (pow x 2) (+ (pow x 4) 1)))
83.0ms
(cbrt (* (cbrt (/ 1 (fma x x -1))) (cbrt (/ 1 (fma x x -1)))))

prune838.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s1906×body640valid
407.0ms4213×body80valid
306.0ms1196×body320valid
136.0ms685×body160valid