Details

Time bar (total: 19.6s)

sample59.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
9.0ms256×pre80true

simplify5.3s

Counts
1 → 1
Iterations
IterNodes
44030
3698
2152
133
010

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1/4 (- 4 (/ 1.0 (* i i))))
0.1b
(/ 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:
16.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
16.0ms
(/ 1.0 (* i i))

series140.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
50.0ms
(/ 1.0 (* i i))

simplify1.1s

Counts
74 → 74
Iterations
IterNodes
32525
2777
1310
0145

prune555.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

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)))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
181×add-sqr-sqrt
119×times-frac
84×*-un-lft-identity
52×add-cube-cbrt
42×difference-of-squares
38×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 fma-def associate-/l* add-log-exp unswap-sqr
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u div-inv
3×rec-exp flip3-+ 1-exp flip-+
2×clear-num frac-2neg flip3-- flip--
1×frac-times +-commutative sum-log pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
4 → 208
Calls
4 calls:
9.0ms
(+ (sqrt 4) (/ (sqrt 1.0) i))
110.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
35.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
16.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series553.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(+ (sqrt 4) (/ (sqrt 1.0) i))
245.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
128.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
93.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify2.2s

Counts
220 → 220
Iterations
IterNodes
22249
1717
0267

prune2.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
425×add-sqr-sqrt
400×times-frac
235×*-un-lft-identity
121×add-cube-cbrt
114×difference-of-squares
98×sqrt-prod
38×distribute-lft-out
26×associate-/r/
21×associate-/l*
19×distribute-lft-out--
14×associate-/r*
13×flip3-+ flip-+ div-inv
10×add-cbrt-cube add-exp-log
6×fma-def
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×clear-num frac-2neg
1×+-commutative sum-log flip3-- flip-- associate-/l/
Counts
3 → 285
Calls
3 calls:
9.0ms
(+ (sqrt 4) (/ (sqrt 1.0) i))
52.0ms
(/ (/ 1/4 (+ (sqrt 4) (/ (sqrt 1.0) i))) (- (sqrt 4) (/ (sqrt 1.0) i)))
14.0ms
(/ 1/4 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series412.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(+ (sqrt 4) (/ (sqrt 1.0) i))
244.0ms
(/ (/ 1/4 (+ (sqrt 4) (/ (sqrt 1.0) i))) (- (sqrt 4) (/ (sqrt 1.0) i)))
87.0ms
(/ 1/4 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.4s

Counts
294 → 294
Iterations
IterNodes
22307
1758
0314

prune3.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
18
08

end0.0ms

sample1.6s

Algorithm
intervals
Results
889.0ms8000×body80valid
575.0ms8000×pre80true