Details

Time bar (total: 1.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
03212
117211
29749
350018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
17.8b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite38.0ms

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)
22.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
78.0ms
(/ (* 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 (46.0ms)

IterNodesCost
0390550
11886402
25001398

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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) (* 2.0 2.0)) i))
17.1b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite52.0ms

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:
11.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
15.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
22.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series247.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
76.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
117.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify78.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05341135
12701958
25003947

prune179.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
5.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

simplify170.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (165.0ms)

IterNodesCost
0205307
1786283
24005281
35001278

prune67.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

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

sample363.0ms

Algorithm
intervals
Results
215.0ms8000×body80valid
61.0ms8000×pre80true