Details

Time bar (total: 1.2m)

sample15.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
9.0ms
(/ x (+ (* x x) 1))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize10.0ms

Local error

Found 1 expressions with local error:

14.3b
(/ x (fma x x 1))

rewrite4.0ms

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
Counts
1 → 30
Calls
1 calls:
Slowest
4.0ms
(/ x (fma x x 1))

series65.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
65.0ms
(/ x (fma x x 1))

simplify2.0s

Counts
43 → 33
Calls
43 calls:
Slowest
344.0ms
(* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1)))
319.0ms
(- (+ x (pow x 5)) (pow x 3))
246.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
214.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
182.0ms
(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))

prune217.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

13.4b
(fma x (- 1 (* x x)) (pow x 5))
0.0b
(- 1 (* x x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt add-log-exp
3×fma-neg prod-diff
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u difference-of-squares
1×sub-neg flip3-- diff-log fma-udef flip--
Counts
2 → 34
Calls
2 calls:
Slowest
9.0ms
(- 1 (* x x))
0.0ms
(fma x (- 1 (* x x)) (pow x 5))

series169.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
95.0ms
(fma x (- 1 (* x x)) (pow x 5))
74.0ms
(- 1 (* x x))

simplify5.5s

Counts
47 → 40
Calls
47 calls:
Slowest
518.0ms
(* (* (- 1 (* x x)) (- 1 (* x x))) (- 1 (* x x)))
362.0ms
(- (pow 1 3) (pow (* x x) 3))
336.0ms
(sqrt (fma x (- 1 (* x x)) (pow x 5)))
315.0ms
(sqrt (fma x (- 1 (* x x)) (pow x 5)))
306.0ms
(* (* (fma x (- 1 (* x x)) (pow x 5)) (fma x (- 1 (* x x)) (pow x 5))) (fma x (- 1 (* x x)) (pow x 5)))

prune322.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

20.0b
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
0.3b
(/ 1 (pow x 5))
0.1b
(* (* x x) x)
0.1b
(/ 1 (* (* x x) x))

rewrite260.0ms

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
Counts
4 → 243
Calls
4 calls:
Slowest
191.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
27.0ms
(/ 1 (* (* x x) x))
26.0ms
(* (* x x) x)
7.0ms
(/ 1 (pow x 5))

series226.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
93.0ms
(/ 1 (pow x 5))
49.0ms
(/ 1 (* (* x x) x))
44.0ms
(* (* x x) x)
40.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))

simplify1.0m

Counts
354 → 255
Calls
354 calls:
Slowest
1.0s
(* (* (- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x))) (- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))) (- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x))))
933.0ms
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
914.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
856.0ms
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
635.0ms
(fma (/ 1 1) (+ (/ 1 x) (/ 1 (pow x 5))) (- (* (/ 1 (* (* x x) x)) 1)))

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.7b

bsearch80.0ms

end0.0ms

sample710.0ms

Algorithm
intervals
Results
591.0ms8000×body80valid