Details

Time bar (total: 2.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms256×pre80true

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

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: 15.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
15.1b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity prod-diff
2×pow1 expm1-log1p-u flip3-- associate-*l/ associate-/r/ flip-- log1p-expm1-u
1×sub-neg frac-2neg times-frac fma-neg diff-log clear-num associate-/r* div-inv associate-/l* difference-of-squares
Counts
2 → 48
Calls
2 calls:
14.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
23.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
87.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0390550
11886402
25001398

prune86.0ms

Filtered
54 candidates to 35 candidates (64.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New50454
Fresh000
Picked101
Done000
Total51455

Merged error: 0b

Counts
55 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.0b
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
14.5b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
26×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp associate-/r*
6×prod-exp cbrt-unprod div-inv
5×add-log-exp
4×associate-/l*
3×pow1 expm1-log1p-u prod-diff log1p-expm1-u
2×flip3-- frac-2neg associate-*l/ clear-num flip-- associate-/l/
1×sub-neg fma-neg diff-log associate-/r/ difference-of-squares
Counts
3 → 98
Calls
3 calls:
8.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
13.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
16.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series263.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
83.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
121.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify77.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05341135
12701958
25003947

prune164.0ms

Filtered
107 candidates to 79 candidates (73.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1061107
Fresh123
Picked101
Done000
Total1083111

Merged error: 0b

Counts
111 → 3

localize6.0ms

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))))

rewrite10.0ms

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 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-exp prod-diff clear-num div-inv
Counts
2 → 47
Calls
2 calls:
4.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
5.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

series155.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
88.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

simplify216.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0247430
1957391
24947386
35001386

prune89.0ms

Filtered
53 candidates to 42 candidates (79.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New52153
Fresh112
Picked011
Done000
Total53356

Merged error: 0b

Counts
56 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 16.0 i) (* 4.0 (/ 1 i)))
0.1b
(* i (/ 1 (- (* 16.0 i) (* 4.0 (/ 1 i)))))
0.1b
(/ 1 (- (* 16.0 i) (* 4.0 (/ 1 i))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u flip3-- associate-*l* associate-/r* flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg fma-neg diff-log associate-*r/ prod-diff pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 91
Calls
3 calls:
4.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
9.0ms
(* i (/ 1 (- (* 16.0 i) (* 4.0 (/ 1 i)))))
6.0ms
(/ 1 (- (* 16.0 i) (* 4.0 (/ 1 i))))

series218.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
88.0ms
(* i (/ 1 (- (* 16.0 i) (* 4.0 (/ 1 i)))))
62.0ms
(/ 1 (- (* 16.0 i) (* 4.0 (/ 1 i))))

simplify57.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0401794
11817700
25002649

prune149.0ms

Filtered
100 candidates to 67 candidates (67.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh011
Picked011
Done011
Total1003103

Merged error: 0b

Counts
103 → 3

regimes16.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample480.0ms

Algorithm
intervals
Results
281.0ms8000×body80valid
92.0ms8000×pre80true