Details

Time bar (total: 15.5s)

sample60.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
9.0ms256×pre80true

simplify1.9s

Counts
1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1.0 (* i i))
0.3b
(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite37.0ms

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×pow1 clear-num frac-2neg associate-/r/ insert-posit16 div-inv add-log-exp
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 64
Calls
2 calls:
Slowest
24.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
12.0ms
(/ 1.0 (* i i))

series85.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
57.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
28.0ms
(/ 1.0 (* i i))

simplify696.0ms

Counts
70 → 70

prune531.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
178×add-sqr-sqrt
119×times-frac
79×*-un-lft-identity
49×add-cube-cbrt
42×difference-of-squares
36×associate-*r*
35×sqrt-prod
31×add-exp-log
19×add-cbrt-cube
18×associate-*l*
14×associate-/r*
11×div-exp
8×prod-exp associate-/r/
7×distribute-lft-out distribute-lft-out--
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×cbrt-unprod div-inv
3×rec-exp 1-exp insert-posit16 add-log-exp
2×clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
3 → 181
Calls
3 calls:
Slowest
60.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
27.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
22.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series356.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
190.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
101.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
65.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify991.0ms

Counts
190 → 190

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))
0.1b
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))
0.1b
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
287×add-sqr-sqrt
187×times-frac
95×*-un-lft-identity
78×difference-of-squares
66×associate-*r*
65×cbrt-prod sqrt-prod
63×add-cube-cbrt
31×add-exp-log
21×add-cbrt-cube
14×associate-/r*
13×distribute-lft-out--
10×cbrt-undiv div-exp associate-*l*
9×prod-exp cbrt-unprod
8×associate-/r/
7×associate-/l*
6×unswap-sqr
5×pow1
4×div-inv
3×insert-posit16 distribute-lft-out add-log-exp
2×clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 224
Calls
3 calls:
Slowest
107.0ms
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
39.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))
22.0ms
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))

series589.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
266.0ms
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
169.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))
154.0ms
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.3s

Counts
233 → 233

prune2.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

28.8b
(log (/ 1.0 (* i i)))
2.9b
(exp (log (/ 1.0 (* i i))))
0.5b
(/ 1.0 (* i i))
0.3b
(/ 1/4 (- 4 (exp (log (/ 1.0 (* i i))))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
34×times-frac
31×*-un-lft-identity
23×add-cube-cbrt
22×log-prod
17×add-exp-log
15×exp-sum
12×difference-of-squares
11×add-cbrt-cube
8×associate-/r*
6×pow1 associate-/l*
5×div-exp
4×exp-prod insert-posit16 div-inv distribute-lft-out-- add-log-exp
3×cbrt-undiv rem-log-exp
2×log-div clear-num frac-2neg prod-exp associate-/r/ log-pow
1×flip3-- exp-diff cbrt-unprod flip-- rem-exp-log
Counts
4 → 109
Calls
4 calls:
Slowest
43.0ms
(/ 1/4 (- 4 (exp (log (/ 1.0 (* i i))))))
15.0ms
(exp (log (/ 1.0 (* i i))))
6.0ms
(/ 1.0 (* i i))
4.0ms
(log (/ 1.0 (* i i)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
197.0ms
(log (/ 1.0 (* i i)))
65.0ms
(/ 1/4 (- 4 (exp (log (/ 1.0 (* i i))))))
36.0ms
(exp (log (/ 1.0 (* i i))))
35.0ms
(/ 1.0 (* i i))

simplify964.0ms

Counts
121 → 121

prune960.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8000×body80valid
214.0ms8000×pre80true