Details

Time bar (total: 2.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms256×pre80true

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
03112
116811
29659
350018

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.6b

localize9.0ms

Local error

Found 1 expressions with local error:

16.1b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite67.0ms

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:
66.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0311392
11550273
25001273

prune51.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
15.4b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite205.0ms

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:
148.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
53.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series168.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
85.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0530978
12493842
25001833

prune184.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ i (- (* 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))))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
149×add-exp-log
91×add-cbrt-cube
68×prod-exp
50×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
10×pow1
8×associate-*r*
7×rec-exp 1-exp
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×frac-2neg flip3-+ clear-num flip-+
Counts
3 → 154
Calls
3 calls:
16.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
60.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
113.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

series404.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
98.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
211.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

simplify107.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09142130
147771615
250011519

prune299.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (pow i 4))
0.2b
(* 0.015625 (/ 1 (pow i 2)))
0.2b
(/ 1 (pow i 2))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
70×add-sqr-sqrt
56×*-un-lft-identity
52×add-cube-cbrt
41×add-exp-log
35×unpow-prod-down
28×associate-*r*
18×div-exp
15×associate-/r*
13×sqr-pow
12×add-cbrt-cube
10×prod-exp
9×pow-to-exp rec-exp 1-exp pow-exp unpow2 unswap-sqr
6×associate-/l*
5×pow1
3×cbrt-undiv associate-*l* div-inv add-log-exp
2×pow-flip frac-2neg clear-num cbrt-unprod inv-pow
1×associate-*r/ pow-prod-down un-div-inv *-commutative
Counts
3 → 173
Calls
3 calls:
9.0ms
(/ 1 (pow i 4))
25.0ms
(* 0.015625 (/ 1 (pow i 2)))
9.0ms
(/ 1 (pow i 2))

series78.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ 1 (pow i 4))
27.0ms
(* 0.015625 (/ 1 (pow i 2)))
22.0ms
(/ 1 (pow i 2))

simplify51.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0444821
11929667
25001555

prune272.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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

sample423.0ms

Algorithm
intervals
Results
223.0ms8000×body80valid
67.0ms8000×pre80true