Details

Time bar (total: 24.3s)

sample62.0ms

Algorithm
intervals
Results
40.0ms256×body80valid
9.0ms256×pre80true

simplify5.9s

Counts
1 → 1
Iterations
IterNodes
44030
3698
2152
133
010

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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/ log1p-expm1-u div-inv add-log-exp
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 66
Calls
2 calls:
11.0ms
(/ 1.0 (* i i))
29.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

series132.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ 1.0 (* i i))
103.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify1.0s

Counts
72 → 72
Iterations
IterNodes
32528
2775
1307
0143

prune579.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt 4) (/ (sqrt 1.0) i))
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)))

rewrite189.0ms

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 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 → 343
Calls
4 calls:
18.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))
102.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
24.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
31.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series551.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))
246.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
108.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
110.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify4.5s

Counts
355 → 355
Iterations
IterNodes
23544
11224
0470

prune4.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (* i i) (* i i)) (* i i))
0.1b
(* (* i i) (* i i))
0.1b
(* (* i i) (* i i))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
890×pow1
378×pow-prod-up
190×pow-prod-down
163×pow-plus
159×pow-sqr
102×pow2
68×add-cbrt-cube add-exp-log
47×prod-exp cbrt-unprod
3×add-sqr-sqrt expm1-log1p-u *-un-lft-identity associate-*r* associate-*l* *-commutative add-cube-cbrt log1p-expm1-u add-log-exp unswap-sqr
2×swap-sqr
1×pow3
Counts
3 → 340
Calls
3 calls:
105.0ms
(* (* (* i i) (* i i)) (* i i))
37.0ms
(* (* i i) (* i i))
32.0ms
(* (* i i) (* i i))

series167.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* (* (* i i) (* i i)) (* i i))
40.0ms
(* (* i i) (* i i))
60.0ms
(* (* i i) (* i i))

simplify1.6s

Counts
349 → 349
Iterations
IterNodes
42897
31334
2631
1250
0114

prune3.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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

sample1.8s

Algorithm
intervals
Results
1.4s8000×body80valid
230.0ms8000×pre80true