Details

Time bar (total: 18.0s)

sample34.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
6.0ms256×pre80true

simplify6.2s

Counts
1 → 1
Iterations
IterNodes
44030
3698
2152
133
010

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize23.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1.0 (* i i))
0.7b
(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite49.0ms

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:
17.0ms
(/ 1.0 (* i i))
30.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

series127.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1.0 (* i i))
76.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify901.0ms

Counts
74 → 74
Iterations
IterNodes
32511
2778
1309
0145

prune551.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

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

rewrite112.0ms

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×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u 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 → 187
Calls
3 calls:
74.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
15.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
18.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))

series425.0ms

Counts
3 → 9
Calls
3 calls:
232.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
92.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
101.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.5s

Counts
196 → 196
Iterations
IterNodes
22174
1707
0258

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (* i (* i i)) (* 1.0 (sqrt 1.0))) (/ (* i (* i i)) (* 1.0 (sqrt 1.0))))
0.1b
(* i (* i i))
0.1b
(* i (* i i))
0.1b
(* (/ (* i i) 1.0) (/ (* i i) 1.0))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
358×add-cbrt-cube add-exp-log
196×prod-exp cbrt-unprod
96×cbrt-undiv div-exp
46×pow1
30×add-sqr-sqrt
20×times-frac
18×*-un-lft-identity associate-*l* add-cube-cbrt
14×associate-*r*
12×swap-sqr pow-prod-up
8×pow-prod-down div-inv
7×unswap-sqr
4×pow2 expm1-log1p-u pow-plus pow-sqr *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×frac-times cube-unmult associate-*l/ associate-*r/
Counts
4 → 249
Calls
4 calls:
90.0ms
(* (/ (* i (* i i)) (* 1.0 (sqrt 1.0))) (/ (* i (* i i)) (* 1.0 (sqrt 1.0))))
28.0ms
(* i (* i i))
29.0ms
(* i (* i i))
23.0ms
(* (/ (* i i) 1.0) (/ (* i i) 1.0))

series371.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (/ (* i (* i i)) (* 1.0 (sqrt 1.0))) (/ (* i (* i i)) (* 1.0 (sqrt 1.0))))
46.0ms
(* i (* i i))
48.0ms
(* i (* i i))
79.0ms
(* (/ (* i i) 1.0) (/ (* i i) 1.0))

simplify1.4s

Counts
261 → 261
Iterations
IterNodes
22876
1738
0275

prune3.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
216
116
013

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s8000×body80valid
230.0ms8000×pre80true