Details

Time bar (total: 20.6s)

sample56.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
9.0ms256×pre80true

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
43916
3700
2147
132
010

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1.0 (* i i))
0.7b
(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite23.0ms

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/ insert-posit16 div-inv add-log-exp
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 64
Calls
2 calls:
6.0ms
(/ 1.0 (* i i))
16.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

series119.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1.0 (* i i))
68.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify1.1s

Counts
70 → 70
Iterations
IterNodes
32567
2760
1300
0141

prune625.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

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)))

rewrite114.0ms

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×rec-exp 1-exp insert-posit16 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 → 181
Calls
3 calls:
79.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
13.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
15.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series463.0ms

Counts
3 → 9
Calls
3 calls:
245.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
103.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
115.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.1s

Counts
190 → 190
Iterations
IterNodes
22276
1694
0252

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

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))))
0.2b
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))
0.2b
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))

rewrite190.0ms

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×insert-posit16 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 → 224
Calls
3 calls:
129.0ms
(* (/ (* (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)))
24.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))

series694.0ms

Counts
3 → 9
Calls
3 calls:
337.0ms
(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
176.0ms
(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))
180.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.3s

Counts
233 → 233
Iterations
IterNodes
23557
1878
0298

prune2.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (cbrt 1/4) (- (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i))))
0.2b
(sqrt (/ (sqrt 1.0) i))
0.2b
(sqrt (/ (sqrt 1.0) i))
0.2b
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ 2 (/ (sqrt 1.0) i)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
295×add-sqr-sqrt
246×sqrt-prod
188×times-frac
107×*-un-lft-identity
84×difference-of-squares
75×add-cube-cbrt
54×cbrt-prod
21×associate-/r*
14×distribute-lft-out--
11×add-exp-log
8×add-cbrt-cube
7×associate-/l*
6×pow1 rem-sqrt-square
4×associate-/r/ insert-posit16 div-inv add-log-exp
3×cbrt-undiv div-exp
2×clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div distribute-lft-out
1×flip3-+ flip3-- prod-exp cbrt-unprod flip-+ flip--
Counts
4 → 238
Calls
4 calls:
24.0ms
(/ (cbrt 1/4) (- (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i))))
2.0ms
(sqrt (/ (sqrt 1.0) i))
2.0ms
(sqrt (/ (sqrt 1.0) i))
27.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ 2 (/ (sqrt 1.0) i)))

series1.1s

Counts
4 → 12
Calls
4 calls:
433.0ms
(/ (cbrt 1/4) (- (sqrt (sqrt 4)) (sqrt (/ (sqrt 1.0) i))))
117.0ms
(sqrt (/ (sqrt 1.0) i))
86.0ms
(sqrt (/ (sqrt 1.0) i))
422.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (+ 2 (/ (sqrt 1.0) i)))

simplify830.0ms

Counts
250 → 250
Iterations
IterNodes
22286
1728
0326

prune3.6s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes26.0ms

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
218
118
013

end0.0ms

sample1.2s

Algorithm
intervals
Results
856.0ms8000×body80valid
210.0ms8000×pre80true