Details

Time bar (total: 24.3s)

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify9.0ms

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: 16.2b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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))

series71.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
71.0ms
(/ x (fma x x 1))

simplify1.4s

Counts
28 → 33
Calls
28 calls:
Slowest
300.0ms
(- (+ x (pow x 5)) (pow x 3))
254.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
225.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
203.0ms
(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
42.0ms
(/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))

prune258.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

16.2b
(/ (fma x x 1) x)
0.3b
(/ 1 (/ (fma x x 1) x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 109
Calls
2 calls:
Slowest
10.0ms
(/ 1 (/ (fma x x 1) x))
8.0ms
(/ (fma x x 1) x)

series202.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
114.0ms
(/ (fma x x 1) x)
88.0ms
(/ 1 (/ (fma x x 1) x))

simplify6.4s

Counts
130 → 115
Calls
130 calls:
Slowest
382.0ms
(/ (* (* 1 1) 1) (/ (* (* (fma x x 1) (fma x x 1)) (fma x x 1)) (* (* x x) x)))
368.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt x) (cbrt x))))
340.0ms
(/ (* (* 1 1) 1) (* (* (/ (fma x x 1) x) (/ (fma x x 1) x)) (/ (fma x x 1) x)))
292.0ms
(- (+ x (pow x 5)) (pow x 3))
264.0ms
(/ (sqrt 1) (/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt x) (cbrt x))))

prune813.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

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)

rewrite47.0ms

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
28.0ms
(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
8.0ms
(/ 1 (hypot 1 x))
8.0ms
(/ x (hypot 1 x))
0.0ms
(hypot 1 x)

series412.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
133.0ms
(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
112.0ms
(/ x (hypot 1 x))
107.0ms
(/ 1 (hypot 1 x))
60.0ms
(hypot 1 x)

simplify6.9s

Counts
117 → 146
Calls
117 calls:
Slowest
533.0ms
(* (* (* (/ 1 (hypot 1 x)) (/ 1 (hypot 1 x))) (/ 1 (hypot 1 x))) (* (* (/ x (hypot 1 x)) (/ x (hypot 1 x))) (/ x (hypot 1 x))))
443.0ms
(/ (* (* x x) x) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))
342.0ms
(- (+ (* 3/8 (/ 1 (pow x 5))) (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))
332.0ms
(- (* 1/2 (/ 1 (pow x 3))) (+ (* 3/8 (/ 1 (pow x 5))) (/ 1 x)))
276.0ms
(- (+ x (pow x 5)) (pow x 3))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (hypot 1 x))
0.3b
(cbrt (hypot 1 x))
0.3b
(cbrt (hypot 1 x))
0.3b
(* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
16.0ms
(* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))
1.0ms
(cbrt (hypot 1 x))
1.0ms
(cbrt (hypot 1 x))
1.0ms
(cbrt (hypot 1 x))

series834.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
231.0ms
(cbrt (hypot 1 x))
208.0ms
(cbrt (hypot 1 x))
206.0ms
(* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))
187.0ms
(cbrt (hypot 1 x))

simplify3.4s

Counts
65 → 97
Calls
65 calls:
Slowest
326.0ms
(- (+ (pow (/ 1 x) -1/3) (* 1/6 (pow (/ 1 (pow x 5)) 1/3))) (* 5/72 (pow (/ 1 (pow x 11)) 1/3)))
308.0ms
(- (+ (pow (/ 1 x) -1/3) (* 1/6 (pow (/ 1 (pow x 5)) 1/3))) (* 5/72 (pow (/ 1 (pow x 11)) 1/3)))
286.0ms
(- (+ (pow (/ -1 x) -1/3) (* 1/6 (pow (/ -1 (pow x 5)) 1/3))) (* 5/72 (pow (/ -1 (pow x 11)) 1/3)))
265.0ms
(- (+ (pow (/ 1 x) -2/3) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))) (* 1/9 (pow (/ 1 (pow x 10)) 1/3)))
260.0ms
(- (+ (pow (/ 1 x) -1/3) (* 1/6 (pow (/ 1 (pow x 5)) 1/3))) (* 5/72 (pow (/ 1 (pow x 11)) 1/3)))

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
956.0ms8000×body80valid