Details

Time bar (total: 1.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
03212
117211
29749
350018

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 16.8b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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 expm1-log1p-u add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
18.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0319406
11586285
25001285

prune54.0ms

Filtered
32 candidates to 19 candidates (59.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New29332
Fresh000
Picked101
Done000
Total30333

Merged error: 0b

Counts
33 → 3

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)))
15.7b
(/ 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×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 90
Calls
2 calls:
17.0ms
(* (/ 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))

series163.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (/ 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))

simplify67.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0549997
12561859
25001846

prune183.0ms

Filtered
96 candidates to 73 candidates (76.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New95196
Fresh112
Picked101
Done000
Total97299

Merged error: 0b

Counts
99 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ (* 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))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
129×add-exp-log
69×add-cbrt-cube
60×prod-exp
44×div-exp
30×cbrt-unprod
22×cbrt-undiv
18×times-frac
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×associate-*l*
8×pow1 rec-exp 1-exp
5×frac-times associate-*r/
4×associate-/r/
3×pow-prod-down associate-*l/ associate-/r* associate-/l*
2×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r* clear-num *-commutative inv-pow
Counts
2 → 112
Calls
2 calls:
6.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
20.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

series260.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
194.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

simplify86.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07371587
138591167
250021031

prune181.0ms

Filtered
118 candidates to 59 candidates (50.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1171118
Fresh101
Picked101
Done000
Total1191120

Merged error: 0b

Counts
120 → 1

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011

Merged error: 0b

Counts
1 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511
11511

end0.0ms

sample371.0ms

Algorithm
intervals
Results
216.0ms8000×body80valid
61.0ms8000×pre80true