Details

Time bar (total: 21.5s)

sample61.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
9.0ms256×pre80true

simplify2.1s

Counts
1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1.0 (* i i))
0.1b
(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×times-frac
23×*-un-lft-identity
15×add-cube-cbrt
9×add-cbrt-cube add-exp-log
8×difference-of-squares
7×associate-/r*
6×associate-/l*
4×distribute-lft-out--
3×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u div-inv add-log-exp
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 68
Calls
2 calls:
Slowest
34.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
11.0ms
(/ 1.0 (* i i))

series139.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
89.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
50.0ms
(/ 1.0 (* i i))

simplify917.0ms

Counts
74 → 74

prune516.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
0.1b
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
0.0b
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
0.0b
(- (sqrt 4) (/ (sqrt 1.0) i))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
319×add-sqr-sqrt
231×times-frac
206×*-un-lft-identity
174×add-cube-cbrt
163×sqrt-prod
132×prod-diff
48×difference-of-squares
36×associate-*r*
32×add-exp-log
20×add-cbrt-cube
18×associate-*l*
14×associate-/r*
11×div-exp
10×div-inv
8×prod-exp associate-/r/ distribute-lft-out--
7×pow1 distribute-lft-out
6×cbrt-undiv fma-neg associate-/l* add-log-exp unswap-sqr
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u
3×rec-exp flip3-- 1-exp flip--
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times sub-neg diff-log pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
4 → 347
Calls
4 calls:
Slowest
81.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
14.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
14.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
10.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))

series520.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
245.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
115.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
90.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
70.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))

simplify680.0ms

Counts
359 → 359

prune4.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1.0 (* i i))
0.1b
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
0.1b
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
90×times-frac
71×*-un-lft-identity
45×add-cube-cbrt
42×associate-*r*
40×cbrt-prod
26×difference-of-squares
22×add-exp-log
15×add-cbrt-cube
13×distribute-lft-out--
9×associate-/l*
8×pow1
7×associate-/r* prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×associate-/r/
3×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
2×clear-num frac-2neg flip3-- flip--
1×associate-*l* associate-*r/ *-commutative
Counts
3 → 157
Calls
3 calls:
Slowest
80.0ms
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
34.0ms
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
11.0ms
(/ 1.0 (* i i))

series274.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
120.0ms
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
118.0ms
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
36.0ms
(/ 1.0 (* i i))

simplify1.0s

Counts
166 → 166

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* i i) (* i i))
0.2b
(* (* i i) (* i i))
0.1b
(* (* (* i i) (* i i)) (* i i))
0.0b
(fma (* (* (* i i) (* i i)) (* i i)) 4.0 (* 1.0 (* (* i i) (* i i))))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
891×pow1
378×pow-prod-up
190×pow-prod-down
163×pow-plus
159×pow-sqr
102×pow2
69×add-cbrt-cube add-exp-log
47×prod-exp cbrt-unprod
4×add-sqr-sqrt expm1-log1p-u *-un-lft-identity add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* *-commutative unswap-sqr
2×swap-sqr
1×pow3 fma-udef
Counts
4 → 354
Calls
4 calls:
Slowest
140.0ms
(* (* (* i i) (* i i)) (* i i))
34.0ms
(* (* i i) (* i i))
32.0ms
(* (* i i) (* i i))
0.0ms
(fma (* (* (* i i) (* i i)) (* i i)) 4.0 (* 1.0 (* (* i i) (* i i))))

series347.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
174.0ms
(fma (* (* (* i i) (* i i)) (* i i)) 4.0 (* 1.0 (* (* i i) (* i i))))
67.0ms
(* (* i i) (* i i))
64.0ms
(* (* (* i i) (* i i)) (* i i))
42.0ms
(* (* i i) (* i i))

simplify3.5s

Counts
366 → 366

prune3.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch6.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s8000×body80valid
270.0ms8000×pre80true