Details

Time bar (total: 3.3s)

sample24.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
3.0ms256×pre80true

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
03112
116811
29659
350018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize8.0ms

Local error

Found 1 expressions with local error:

13.9b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
2×associate-*l/ associate-/r/
1×pow1 add-sqr-sqrt add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
20.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0311392
11550273
25001273

prune47.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
13.4b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
31×times-frac
25×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
18×associate-*l*
8×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r* difference-of-squares
4×pow1 associate-/r* associate-/r/ unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 86
Calls
2 calls:
52.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
18.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series152.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
77.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0530978
12493842
25001833

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ i (- (* 2.0 i) (sqrt 1.0)))
0.0b
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
0.0b
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))))
0.1b
(* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
155×add-exp-log
89×add-cbrt-cube
68×prod-exp
53×add-sqr-sqrt div-exp
46×times-frac
38×*-un-lft-identity
36×add-cube-cbrt cbrt-unprod
28×cbrt-undiv
22×associate-*r*
16×associate-*l*
12×pow1
9×rec-exp 1-exp
8×associate-/r/
6×frac-times associate-*l/ associate-/r* associate-/l* unswap-sqr
5×div-inv
4×associate-*r/ pow-prod-down add-log-exp
2×flip3-- frac-2neg flip3-+ clear-num *-commutative flip-- flip-+
1×pow-flip inv-pow
Counts
4 → 189
Calls
4 calls:
6.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
7.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
34.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))))
48.0ms
(* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0)))

series547.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
61.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
208.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))))
190.0ms
(* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0)))

simplify119.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09992548
149821960
250031960

prune342.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (/ i (* 2.0 2.0)) (/ i (+ (* 2.0 i) (sqrt 1.0)))) (- (* 2.0 i) (sqrt 1.0)))
0.0b
(* (/ i (* 2.0 2.0)) (/ i (+ (* 2.0 i) (sqrt 1.0))))
0.0b
(/ i (+ (* 2.0 i) (sqrt 1.0)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
32×add-sqr-sqrt
28×times-frac
22×cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
16×prod-exp cbrt-unprod
15×associate-*r*
7×associate-*l*
6×associate-/r* associate-/r/
5×pow1
4×div-inv associate-/l* unswap-sqr
3×associate-/l/ add-log-exp
2×frac-times frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num flip-+
1×flip3-- pow-prod-down *-commutative flip--
Counts
3 → 115
Calls
3 calls:
18.0ms
(/ (* (/ i (* 2.0 2.0)) (/ i (+ (* 2.0 i) (sqrt 1.0)))) (- (* 2.0 i) (sqrt 1.0)))
25.0ms
(* (/ i (* 2.0 2.0)) (/ i (+ (* 2.0 i) (sqrt 1.0))))
7.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))

series362.0ms

Counts
3 → 9
Calls
3 calls:
193.0ms
(/ (* (/ i (* 2.0 2.0)) (/ i (+ (* 2.0 i) (sqrt 1.0)))) (- (* 2.0 i) (sqrt 1.0)))
85.0ms
(* (/ i (* 2.0 2.0)) (/ i (+ (* 2.0 i) (sqrt 1.0))))
83.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))

simplify90.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07151470
139011149
250021111

prune246.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511
11511

end0.0ms

sample640.0ms

Algorithm
intervals
Results
446.0ms8000×body80valid
91.0ms8000×pre80true