Details

Time bar (total: 14.7s)

sample36.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
5.0ms256×pre80true

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
43914
3700
2147
132
010

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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/ div-inv add-log-exp
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 62
Calls
2 calls:
10.0ms
(/ 1.0 (* i i))
17.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

series122.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1.0 (* i i))
78.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify923.0ms

Counts
68 → 68
Iterations
IterNodes
32531
2761
1297
0139

prune461.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

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)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
195×add-sqr-sqrt
123×times-frac
82×*-un-lft-identity
50×add-cube-cbrt
48×difference-of-squares
40×sqrt-prod
36×associate-*r*
32×add-exp-log
20×add-cbrt-cube
18×associate-*l*
14×associate-/r*
11×div-exp
8×prod-exp associate-/r/ distribute-lft-out--
7×pow1 distribute-lft-out
6×cbrt-undiv associate-/l* add-log-exp unswap-sqr
4×cbrt-unprod div-inv
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 → 197
Calls
4 calls:
9.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))
67.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
12.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
21.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series461.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))
200.0ms
(* (/ 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)))
71.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.3s

Counts
209 → 209
Iterations
IterNodes
22173
1705
0257

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
358×add-cbrt-cube add-exp-log
196×prod-exp cbrt-unprod
96×cbrt-undiv div-exp
56×pow1
30×add-sqr-sqrt
20×times-frac
18×*-un-lft-identity associate-*r* add-cube-cbrt
14×pow-plus associate-*l* pow-prod-up
12×swap-sqr
8×pow-prod-down div-inv
7×unswap-sqr
6×pow2 pow-sqr
4×*-commutative add-log-exp
2×frac-times pow3 associate-*l/ associate-*r/
Counts
4 → 245
Calls
4 calls:
19.0ms
(* (* i i) i)
13.0ms
(* (* i i) i)
113.0ms
(* (/ (* (* i i) i) (* (sqrt 1.0) 1.0)) (/ (* (* i i) i) (* (sqrt 1.0) 1.0)))
28.0ms
(* (/ (* i i) 1.0) (/ (* i i) 1.0))

series324.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (* i i) i)
44.0ms
(* (* i i) i)
159.0ms
(* (/ (* (* i i) i) (* (sqrt 1.0) 1.0)) (/ (* (* i i) i) (* (sqrt 1.0) 1.0)))
62.0ms
(* (/ (* i i) 1.0) (/ (* i i) 1.0))

simplify843.0ms

Counts
257 → 257
Iterations
IterNodes
22860
1693
0239

prune2.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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
216
116
013

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8000×body80valid
205.0ms8000×pre80true