Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
03112
116811
29659
350018

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize8.0ms

Local error

Found 1 expressions with local error:

17.5b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite14.0ms

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:
13.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0311392
11550273
25001273

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
16.8b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite29.0ms

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:
15.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
9.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series166.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
81.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0530978
12493842
25001833

prune198.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
151×add-exp-log
91×add-cbrt-cube
68×prod-exp
51×div-exp
38×cbrt-unprod
37×add-sqr-sqrt
34×times-frac
30×associate-*l*
29×cbrt-undiv
27×add-cube-cbrt *-un-lft-identity
11×pow1
8×rec-exp 1-exp associate-*r*
6×frac-times associate-*r/ associate-/r/
4×pow-prod-down associate-*l/ div-inv unswap-sqr
3×associate-/r* associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×flip3-- pow-flip frac-2neg clear-num flip-- inv-pow
Counts
3 → 158
Calls
3 calls:
6.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
15.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
18.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

series350.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
90.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
193.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

simplify103.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09082145
146671620
250021509

prune278.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (pow (sqrt 1.0) 4) (pow i 4))
0.5b
(/ (* 0.015625 1.0) (pow i 2))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
87×unpow-prod-down
78×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×add-exp-log
24×sqrt-prod
21×sqr-pow
15×div-exp associate-/r*
11×associate-/l*
9×add-cbrt-cube
8×pow-to-exp pow-exp
3×cbrt-undiv prod-exp
2×pow1 frac-2neg clear-num div-inv unpow2 add-log-exp
1×cbrt-unprod
Counts
2 → 142
Calls
2 calls:
7.0ms
(/ (pow (sqrt 1.0) 4) (pow i 4))
6.0ms
(/ (* 0.015625 1.0) (pow i 2))

series130.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(/ (pow (sqrt 1.0) 4) (pow i 4))
29.0ms
(/ (* 0.015625 1.0) (pow i 2))

simplify49.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04261138
11940943
25001835

prune282.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b 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
02012
12012

end0.0ms

sample369.0ms

Algorithm
intervals
Results
214.0ms8000×body80valid
66.0ms8000×pre80true