Details

Time bar (total: 2.2s)

sample29.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
4.0ms256×pre80true

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
03112
116811
29659
350018

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize10.0ms

Local error

Found 1 expressions with local error:

16.3b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite22.0ms

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:
21.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (* 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 (9.0ms)

IterNodesCost
0311392
11550273
25001273

prune50.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
15.7b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp associate-/r*
6×prod-exp cbrt-unprod div-inv
4×associate-/l*
2×pow1 frac-2neg associate-*l/ clear-num associate-/l/ add-log-exp
1×flip3-- associate-/r/ flip--
Counts
2 → 75
Calls
2 calls:
15.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
23.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series201.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
122.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify57.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0443962
12261814
25001808

prune132.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 16.0 i) (* 4.0 (/ 1 i)))
0.0b
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
5.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

series157.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
89.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

simplify197.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0223402
1845369
24362365
35001365

prune82.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)
15.7b
(/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
10×prod-exp cbrt-unprod
9×add-sqr-sqrt associate-*l*
7×add-cube-cbrt *-un-lft-identity
6×cbrt-undiv times-frac div-exp
5×associate-*l/
4×pow1 associate-/r/
3×associate-*r* associate-/l*
2×flip3-- flip-- div-inv add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 56
Calls
2 calls:
76.0ms
(* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)
19.0ms
(/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series373.0ms

Counts
2 → 6
Calls
2 calls:
286.0ms
(* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)
87.0ms
(/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0400664
11798528
25001527

prune100.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample385.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid
66.0ms8000×pre80true