Details

Time bar (total: 15.8s)

sample33.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
6.0ms256×pre80true

simplify5.1s

Counts
1 → 1
Iterations
IterNodes
44030
3698
2152
133
010

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (* i i))
0.4b
(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite31.0ms

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:
9.0ms
(/ 1.0 (* i i))
21.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

series86.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ 1.0 (* i i))
58.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify968.0ms

Counts
74 → 74
Iterations
IterNodes
32511
2778
1309
0145

prune512.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

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)))

rewrite100.0ms

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:
67.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
15.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
14.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))

series424.0ms

Counts
3 → 9
Calls
3 calls:
249.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
87.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
88.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.4s

Counts
196 → 196
Iterations
IterNodes
22174
1707
0258

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* i i))
0.3b
(/ 1.0 (* i i))
0.4b
(/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i)))))
20.0b
(* (/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
31×times-frac
28×*-un-lft-identity
26×add-cube-cbrt
21×add-cbrt-cube add-exp-log
18×associate-*l*
9×associate-/l*
7×difference-of-squares
6×pow1 cbrt-undiv associate-/r* div-exp
4×expm1-log1p-u associate-*r* prod-exp associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×clear-num frac-2neg
2×frac-times flip3-+ flip3-- associate-*r/ flip-+ flip-- unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative distribute-lft-out
Counts
4 → 131
Calls
4 calls:
6.0ms
(/ 1.0 (* i i))
7.0ms
(/ 1.0 (* i i))
6.0ms
(/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i)))))
58.0ms
(* (/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

series346.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 1.0 (* i i))
34.0ms
(/ 1.0 (* i i))
148.0ms
(/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i)))))
117.0ms
(* (/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

simplify2.2s

Counts
143 → 143
Iterations
IterNodes
22850
1701
0224

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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
241.0ms8000×pre80true