Details

Time bar (total: 19.2s)

sample40.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
6.0ms256×pre80true

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
43916
3700
2147
132
010

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1/4 (- 4 (/ 1.0 (* i i))))
0.5b
(/ 1.0 (* i i))

rewrite24.0ms

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:
15.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
8.0ms
(/ 1.0 (* i i))

series108.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
44.0ms
(/ 1.0 (* i i))

simplify919.0ms

Counts
70 → 70
Iterations
IterNodes
32454
2753
1300
0141

prune476.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

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:
61.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
13.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
14.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series419.0ms

Counts
3 → 9
Calls
3 calls:
215.0ms
(* (/ 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)))
103.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.0s

Counts
190 → 190
Iterations
IterNodes
22276
1694
0252

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 3 expressions with local error:

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

rewrite132.0ms

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:
82.0ms
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
14.0ms
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))
31.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))

series617.0ms

Counts
3 → 9
Calls
3 calls:
303.0ms
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
155.0ms
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))
159.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.2s

Counts
233 → 233
Iterations
IterNodes
23557
1878
0298

prune3.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* i i) (* i i))
18.0b
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
44.4b
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
302×add-cbrt-cube add-exp-log
168×prod-exp cbrt-unprod
114×pow1
76×cbrt-undiv div-exp
36×pow-prod-up
26×times-frac
23×pow-prod-down
22×pow-sqr
20×add-sqr-sqrt
18×pow-plus
14×*-un-lft-identity add-cube-cbrt
13×pow2
7×div-inv
6×associate-/l* difference-of-squares
5×associate-/r*
3×insert-posit16 add-log-exp
2×clear-num frac-2neg associate-/r/
1×flip3-- swap-sqr associate-*r* associate-*l* *-commutative flip-- unswap-sqr associate-/l/
Counts
3 → 223
Calls
3 calls:
43.0ms
(* (* i i) (* i i))
81.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
76.0ms
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

series254.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* (* i i) (* i i))
135.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
55.0ms
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

simplify1.9s

Counts
232 → 232
Iterations
IterNodes
24812
1801
0280

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
218
118
013

end0.0ms

sample1.2s

Algorithm
intervals
Results
874.0ms8000×body80valid
257.0ms8000×pre80true