Details

Time bar (total: 2.5s)

sample26.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
3.0ms256×pre80true

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
03112
116811
29659
350018

prune7.0ms

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: 14.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
14.1b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×add-log-exp
3×add-sqr-sqrt
2×pow1 add-cube-cbrt flip3-- *-un-lft-identity associate-*l/ associate-/r/ flip--
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l* difference-of-squares
Counts
2 → 40
Calls
2 calls:
6.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
13.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
76.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0342496
11633364
25001364

prune97.0ms

Filtered
46 candidates to 29 candidates (63.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New43346
Fresh000
Picked101
Done000
Total44347

Merged error: 0b

Counts
47 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
13.6b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
31×times-frac
26×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
18×associate-*l*
8×cbrt-undiv div-exp prod-exp cbrt-unprod difference-of-squares
7×associate-*r*
5×pow1 add-log-exp
4×associate-/r* associate-/r/ unswap-sqr
3×flip3-- flip-- div-inv associate-/l*
1×frac-times sub-neg frac-2neg diff-log associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 99
Calls
3 calls:
6.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
15.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
11.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series223.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
90.0ms
(* (/ 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))

simplify67.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05401082
12522934
25002925

prune246.0ms

Filtered
108 candidates to 81 candidates (75.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1080108
Fresh022
Picked011
Done000
Total1083111

Merged error: 0b

Counts
111 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
14.1b
(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log add-cbrt-cube
22×prod-exp cbrt-unprod
12×associate-*l/
10×cbrt-undiv div-exp
8×frac-times associate-/r/
6×add-sqr-sqrt flip3-- flip3-+ flip-- flip-+
4×pow1 add-cube-cbrt *-un-lft-identity associate-*r/
3×associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 71
Calls
2 calls:
10.0ms
(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
16.0ms
(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

series347.0ms

Counts
2 → 6
Calls
2 calls:
159.0ms
(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
187.0ms
(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06281179
13646850
25001825

prune159.0ms

Filtered
77 candidates to 48 candidates (62.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done011
Total77380

Merged error: 0b

Counts
80 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
0.2b
(/ 1 (pow i 4))
0.9b
(/ 1 (pow i 2))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
36×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
21×add-exp-log
15×associate-/r*
12×div-exp
8×add-log-exp sqr-pow
7×add-cbrt-cube
6×pow-to-exp rec-exp 1-exp pow-exp associate-/l*
4×frac-add unpow2
3×pow1 flip3-+ sum-log flip-+
2×cbrt-undiv pow-flip frac-2neg associate-*r/ clear-num un-div-inv div-inv inv-pow
1×+-commutative associate-+r+
Counts
3 → 127
Calls
3 calls:
12.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
4.0ms
(/ 1 (pow i 4))
7.0ms
(/ 1 (pow i 2))

series72.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
25.0ms
(/ 1 (pow i 4))
15.0ms
(/ 1 (pow i 2))

simplify62.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0474797
12042702
25001626

prune219.0ms

Filtered
136 candidates to 57 candidates (41.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0b

Counts
139 → 3

regimes32.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.3b

bsearch38.0ms

Steps
ItersRangePoint
7
4.57470713619423
455.90197023339346
239.80015509112306

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03919
13919

end0.0ms

sample474.0ms

Algorithm
intervals
Results
265.0ms8000×body80valid
74.0ms8000×pre80true

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