Details

Time bar (total: 2.4m)

sample29.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify16.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize14.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ x (fma x x 1))

rewrite8.0ms

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
8.0ms
(/ x (fma x x 1))

series92.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
92.0ms
(/ x (fma x x 1))

simplify1.2s

Counts
28 → 33
Calls
28 calls:
Slowest
247.0ms
(- (+ x (pow x 5)) (pow x 3))
212.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
210.0ms
(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
178.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
44.0ms
(/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))

prune289.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

14.0b
(sqrt (fma x x 1))
14.0b
(sqrt (fma x x 1))
0.0b
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
0.0b
(/ x (sqrt (fma x x 1)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/l/
Counts
4 → 252
Calls
4 calls:
Slowest
18.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
15.0ms
(/ x (sqrt (fma x x 1)))
2.0ms
(sqrt (fma x x 1))
2.0ms
(sqrt (fma x x 1))

series275.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
86.0ms
(/ x (sqrt (fma x x 1)))
84.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
58.0ms
(sqrt (fma x x 1))
46.0ms
(sqrt (fma x x 1))

simplify15.2s

Counts
362 → 264
Calls
362 calls:
Slowest
455.0ms
(/ (/ (* (* x x) x) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1)))) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
372.0ms
(/ (* (* x x) x) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
348.0ms
(/ (* (* (/ x (sqrt (fma x x 1))) (/ x (sqrt (fma x x 1)))) (/ x (sqrt (fma x x 1)))) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
283.0ms
(- (+ x (pow x 5)) (pow x 3))
259.0ms
(- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x))))

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

14.0b
(sqrt (fma x x 1))
14.0b
(sqrt (fma x x 1))
0.1b
(/ 1 (/ (sqrt (fma x x 1)) x))
0.0b
(/ (/ 1 (/ (sqrt (fma x x 1)) x)) (sqrt (fma x x 1)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
1404×times-frac
661×add-sqr-sqrt
659×*-un-lft-identity add-cube-cbrt
447×sqrt-prod
74×associate-/l*
34×add-exp-log div-inv
28×associate-/r*
21×div-exp
18×add-cbrt-cube
9×cbrt-undiv
8×associate-/r/
7×pow1
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×pow-flip inv-pow associate-/l/
Counts
4 → 674
Calls
4 calls:
Slowest
24.0ms
(/ (/ 1 (/ (sqrt (fma x x 1)) x)) (sqrt (fma x x 1)))
9.0ms
(/ 1 (/ (sqrt (fma x x 1)) x))
1.0ms
(sqrt (fma x x 1))
1.0ms
(sqrt (fma x x 1))

series281.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
85.0ms
(/ (/ 1 (/ (sqrt (fma x x 1)) x)) (sqrt (fma x x 1)))
78.0ms
(/ 1 (/ (sqrt (fma x x 1)) x))
65.0ms
(sqrt (fma x x 1))
52.0ms
(sqrt (fma x x 1))

simplify1.8m

Counts
1122 → 686
Calls
1122 calls:
Slowest
993.0ms
(/ (/ (* (* 1 1) 1) (* (* (/ (sqrt (fma x x 1)) x) (/ (sqrt (fma x x 1)) x)) (/ (sqrt (fma x x 1)) x))) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
628.0ms
(/ (/ (sqrt 1) (/ (sqrt (* (cbrt (fma x x 1)) (cbrt (fma x x 1)))) (* (cbrt x) (cbrt x)))) (sqrt (* (cbrt (fma x x 1)) (cbrt (fma x x 1)))))
520.0ms
(/ (/ (sqrt 1) (/ (* (cbrt (sqrt (fma x x 1))) (cbrt (sqrt (fma x x 1)))) (* (cbrt x) (cbrt x)))) (sqrt (* (cbrt (fma x x 1)) (cbrt (fma x x 1)))))
513.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt (fma x x 1))) (cbrt (sqrt (fma x x 1)))) (sqrt x))) (* (cbrt (sqrt (fma x x 1))) (cbrt (sqrt (fma x x 1)))))
503.0ms
(/ (/ 1 (/ (sqrt (fma x x 1)) x)) (sqrt (sqrt (fma x x 1))))

prune6.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (hypot 1 x))
0.0b
(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
0.0b
(/ x (hypot 1 x))
0.0b
(hypot 1 x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
43×times-frac
36×*-un-lft-identity
34×add-cube-cbrt
32×add-exp-log
20×add-cbrt-cube
13×associate-*r* associate-*l*
11×div-exp
8×prod-exp
7×pow1
6×cbrt-undiv associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg
1×frac-times hypot-udef pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
4 → 134
Calls
4 calls:
Slowest
13.0ms
(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
7.0ms
(/ x (hypot 1 x))
4.0ms
(/ 1 (hypot 1 x))
0.0ms
(hypot 1 x)

series397.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
130.0ms
(/ x (hypot 1 x))
111.0ms
(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
92.0ms
(/ 1 (hypot 1 x))
64.0ms
(hypot 1 x)

simplify6.7s

Counts
117 → 146
Calls
117 calls:
Slowest
472.0ms
(* (* (* (/ 1 (hypot 1 x)) (/ 1 (hypot 1 x))) (/ 1 (hypot 1 x))) (* (* (/ x (hypot 1 x)) (/ x (hypot 1 x))) (/ x (hypot 1 x))))
396.0ms
(/ (* (* x x) x) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))
350.0ms
(- (+ (* 3/8 (/ 1 (pow x 5))) (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))
292.0ms
(- (+ x (pow x 5)) (pow x 3))
288.0ms
(- (* 1/2 (/ 1 (pow x 3))) (+ (* 3/8 (/ 1 (pow x 5))) (/ 1 x)))

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample651.0ms

Algorithm
intervals
Results
541.0ms8000×body80valid