Details

Time bar (total: 55.9s)

sample29.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify17.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize14.0ms

Local error

Found 1 expressions with local error:

16.2b
(/ x (fma x x 1))

rewrite9.0ms

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*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
8.0ms
(/ x (fma x x 1))

series81.0ms

Calls
1 calls:
Slowest
81.0ms
(/ x (fma x x 1))

simplify1.2s

Calls
28 calls:
Slowest
249.0ms
(- (+ x (pow x 5)) (pow x 3))
228.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
207.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
161.0ms
(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
67.0ms
(/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

15.5b
(fma x (- 1 (* x x)) (pow x 5))

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
0.0ms
(fma x (- 1 (* x x)) (pow x 5))

series68.0ms

Calls
1 calls:
Slowest
68.0ms
(fma x (- 1 (* x x)) (pow x 5))

simplify787.0ms

Calls
3 calls:
Slowest
273.0ms
(- (+ x (pow x 5)) (pow x 3))
270.0ms
(- (+ x (pow x 5)) (pow x 3))
243.0ms
(- (+ x (pow x 5)) (pow x 3))

prune141.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

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)

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
162×*-un-lft-identity
102×times-frac
70×add-sqr-sqrt prod-diff
67×add-cube-cbrt
64×distribute-lft-out
57×div-inv
43×pow1
39×add-exp-log
20×add-cbrt-cube
13×pow-flip
12×unpow-prod-down pow-plus div-exp prod-exp pow-prod-up
10×fma-neg distribute-lft-out--
9×add-log-exp
8×associate-/r*
6×rec-exp 1-exp pow-prod-down cbrt-unprod associate-/l*
4×pow2 expm1-log1p-u cbrt-undiv pow-sqr insert-posit16 log1p-expm1-u 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
229.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
30.0ms
(/ 1 (* (* x x) x))
27.0ms
(* (* x x) x)
12.0ms
(/ 1 (pow x 5))

series192.0ms

Calls
4 calls:
Slowest
68.0ms
(/ 1 (pow x 5))
45.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
44.0ms
(* (* x x) x)
36.0ms
(/ 1 (* (* x x) x))

simplify49.9s

Calls
280 calls:
Slowest
1.1s
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
914.0ms
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
734.0ms
(fma 1 (+ (/ 1 x) (/ 1 (pow x 5))) (- (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) (* x x)))))
650.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
573.0ms
(/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 5))

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

99.9% (0.0b remaining)

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

bsearch97.0ms

end0.0ms

sample638.0ms

Algorithm
intervals
Results
549.0ms8000×body80valid