Details

Time bar (total: 22.8s)

sample38.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
6.0ms256×pre80true

simplify5.2s

Counts
1 → 1
Iterations
IterNodes
44032
3698
2152
133
010

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:
18.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
13.0ms
(/ 1.0 (* i i))

series114.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
46.0ms
(/ 1.0 (* i i))

simplify806.0ms

Counts
74 → 74
Iterations
IterNodes
32460
2771
1311
0145

prune582.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize44.0ms

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)))

rewrite176.0ms

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:
120.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
29.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
21.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series424.0ms

Counts
3 → 9
Calls
3 calls:
238.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
95.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
91.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.5s

Counts
196 → 196
Iterations
IterNodes
22318
1708
0258

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

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)))

rewrite146.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 230
Calls
3 calls:
83.0ms
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
28.0ms
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))
22.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))

series672.0ms

Counts
3 → 9
Calls
3 calls:
307.0ms
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
157.0ms
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))
208.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.3s

Counts
239 → 239
Iterations
IterNodes
23650
1896
0304

prune3.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

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)))

rewrite286.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 229
Calls
3 calls:
31.0ms
(* (* i i) (* i i))
145.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
96.0ms
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* (* i i) (* i i))
130.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
46.0ms
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

simplify2.0s

Counts
238 → 238
Iterations
IterNodes
24521
1867
0286

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes84.0ms

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
218
118
013

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8000×body80valid
227.0ms8000×pre80true