Details

Time bar (total: 28.5s)

sample56.0ms

Algorithm
intervals
Results
22.0ms64×body640valid
11.0ms133×body80valid
10.0ms40×body320valid
3.0ms19×body160valid

simplify29.0ms

Calls
1 calls:
Slowest
29.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize21.0ms

Local error

Found 3 expressions with local error:

2.5b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite20.0ms

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
8.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
1.0ms
(/ 1 (+ x 1))
1.0ms
(/ 1 (- x 1))

series38.0ms

Calls
3 calls:
Slowest
25.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
7.0ms
(/ 1 (- x 1))
6.0ms
(/ 1 (+ x 1))

simplify14.8s

Calls
108 calls:
Slowest
823.0ms
(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)))))
563.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
533.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
511.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))

prune868.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 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
4.0ms
(* (/ 1 (fma x x -1)) -2)
1.0ms
(/ 1 (fma x x -1))

series48.0ms

Calls
2 calls:
Slowest
25.0ms
(* (/ 1 (fma x x -1)) -2)
24.0ms
(/ 1 (fma x x -1))

simplify985.0ms

Calls
13 calls:
Slowest
310.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
282.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
101.0ms
(+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 2))
97.0ms
(- (+ (pow x 2) (+ (pow x 4) 1)))
66.0ms
(* (cbrt (/ 1 (fma x x -1))) (cbrt (/ 1 (fma x x -1))))

prune352.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

18.1b
(cbrt (fma x x -1))
18.1b
(cbrt (fma x x -1))
18.1b
(cbrt (fma x x -1))
1.1b
(/ 1 (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))

rewrite14.0ms

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
9.0ms
(/ 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))

series548.0ms

Calls
4 calls:
Slowest
160.0ms
(/ 1 (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
131.0ms
(cbrt (fma x x -1))
130.0ms
(cbrt (fma x x -1))
126.0ms
(cbrt (fma x x -1))

simplify2.8s

Calls
29 calls:
Slowest
375.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
373.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
356.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
248.0ms
(- (pow (/ 1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))
205.0ms
(- (pow (/ -1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))

prune850.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

10.5b
(cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)) (* (/ 1 (fma x x -1)) -2)))
0.3b
(/ 1 (fma x x -1))
0.3b
(/ 1 (fma x x -1))
0.3b
(/ 1 (fma x x -1))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
17×associate-*l/
9×associate-/r*
7×add-sqr-sqrt pow1 cbrt-div *-un-lft-identity add-exp-log add-cube-cbrt
5×frac-times
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp clear-num frac-2neg associate-*r/ div-inv pow-flip inv-pow
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Calls
4 calls:
Slowest
70.0ms
(cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)) (* (/ 1 (fma x x -1)) -2)))
2.0ms
(/ 1 (fma x x -1))
2.0ms
(/ 1 (fma x x -1))
2.0ms
(/ 1 (fma x x -1))

series142.0ms

Calls
4 calls:
Slowest
69.0ms
(cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)) (* (/ 1 (fma x x -1)) -2)))
25.0ms
(/ 1 (fma x x -1))
24.0ms
(/ 1 (fma x x -1))
24.0ms
(/ 1 (fma x x -1))

simplify3.8s

Calls
33 calls:
Slowest
634.0ms
(cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)) (* 1 -2)))
617.0ms
(cbrt (* (* (* 1 -2) (* (/ 1 (fma x x -1)) -2)) (* (/ 1 (fma x x -1)) -2)))
520.0ms
(- (+ (cbrt -8) (+ (* (cbrt -8) (pow x 4)) (* (cbrt -8) (pow x 2)))))
439.0ms
(cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* 1 -2)) (* (/ 1 (fma x x -1)) -2)))
382.0ms
(cbrt (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)))

prune859.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
809.0ms1250×body320valid
720.0ms1900×body640valid
369.0ms4267×body80valid
121.0ms583×body160valid