Details

Time bar (total: 1.2m)

sample15.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
12.0ms
(/ x (+ (* x x) 1))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize13.0ms

Local error

Found 1 expressions with local error:

13.8b
(/ 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
Counts
1 → 30
Calls
1 calls:
Slowest
9.0ms
(/ x (fma x x 1))

series77.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
76.0ms
(/ x (fma x x 1))

simplify1.7s

Counts
43 → 33
Calls
43 calls:
Slowest
268.0ms
(* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1)))
268.0ms
(- (+ x (pow x 5)) (pow x 3))
226.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
219.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
136.0ms
(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))

prune248.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

13.8b
(sqrt (fma x x 1))
13.8b
(sqrt (fma x x 1))
0.0b
(/ x (sqrt (fma x x 1)))
0.0b
(/ 1 (sqrt (fma x x 1)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
36×*-un-lft-identity times-frac add-cube-cbrt
30×sqrt-prod
12×associate-/r*
10×add-exp-log
8×pow1 add-cbrt-cube
6×associate-/l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-pow1 pow1/2 div-exp pow-flip
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-inv
1×rec-exp 1-exp inv-pow
Counts
4 → 122
Calls
4 calls:
Slowest
5.0ms
(/ 1 (sqrt (fma x x 1)))
5.0ms
(/ x (sqrt (fma x x 1)))
1.0ms
(sqrt (fma x x 1))
1.0ms
(sqrt (fma x x 1))

series332.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
99.0ms
(/ x (sqrt (fma x x 1)))
85.0ms
(/ 1 (sqrt (fma x x 1)))
77.0ms
(sqrt (fma x x 1))
70.0ms
(sqrt (fma x x 1))

simplify7.1s

Counts
173 → 134
Calls
173 calls:
Slowest
345.0ms
(/ (* (* x x) x) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
320.0ms
(- (* 1/2 (/ 1 (pow x 3))) (+ (* 3/8 (/ 1 (pow x 5))) (/ 1 x)))
319.0ms
(- (+ (* 3/8 (/ 1 (pow x 5))) (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))
285.0ms
(- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4)))
285.0ms
(- (* 1/2 (/ 1 (pow x 2))) (+ (* 3/8 (/ 1 (pow x 4))) 1))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

18.4b
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
0.1b
(/ 1 (* (* x x) x))
0.1b
(* (* x x) x)
0.1b
(/ 1 (pow x 5))

rewrite239.0ms

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
165.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
43.0ms
(/ 1 (* (* x x) x))
21.0ms
(* (* x x) x)
6.0ms
(/ 1 (pow x 5))

series224.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
83.0ms
(/ 1 (pow x 5))
63.0ms
(* (* x x) x)
40.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
37.0ms
(/ 1 (* (* x x) x))

simplify58.8s

Counts
354 → 255
Calls
354 calls:
Slowest
1.1s
(* (* (- (+ (/ 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))))
841.0ms
(fma (- (/ (cbrt 1) x)) (/ (* (cbrt 1) (cbrt 1)) (* x x)) (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) (* x x))))
725.0ms
(/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 5))
616.0ms
(* (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (* (/ 1 x) (/ 1 (pow x 5))))) (* (* x x) x))
504.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

100% (0.0b remaining)

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

bsearch114.0ms

end0.0ms

sample641.0ms

Algorithm
intervals
Results
508.0ms8000×body80valid