Details

Time bar (total: 1.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify31.0ms

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: 13.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
12.9b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite34.0ms

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:
11.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
21.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
78.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0390550
11886402
25001398

prune94.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
12.9b
(/ (* i i) (* (* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log add-cbrt-cube
22×prod-exp cbrt-unprod
12×prod-diff
10×cbrt-undiv add-sqr-sqrt div-exp
8×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
6×sqrt-prod
4×pow1 associate-*r/
3×associate-*r* associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-*l/ associate-/r/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 75
Calls
2 calls:
14.0ms
(* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
25.0ms
(/ (* i i) (* (* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

series364.0ms

Counts
2 → 6
Calls
2 calls:
170.0ms
(* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
194.0ms
(/ (* i i) (* (* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

simplify80.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05671169
13025833
25002820

prune140.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (pow i 4))
0.3b
(/ 1 (pow i 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
20×add-exp-log
15×associate-/r*
12×div-exp
8×sqr-pow
6×pow-to-exp rec-exp 1-exp pow-exp add-cbrt-cube associate-/l*
4×unpow2
2×pow1 cbrt-undiv expm1-log1p-u pow-flip frac-2neg clear-num log1p-expm1-u div-inv inv-pow add-log-exp
Counts
2 → 114
Calls
2 calls:
4.0ms
(/ 1 (pow i 4))
4.0ms
(/ 1 (pow i 2))

series46.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1 (pow i 4))
20.0ms
(/ 1 (pow i 2))

simplify34.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0269518
11043444
25001368

prune171.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 16.0b

bsearch46.0ms

Steps
ItersRangePoint
9
3.0824122837109567
561117.9167827321
215.8901167193052

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03216
13216

end0.0ms

sample370.0ms

Algorithm
intervals
Results
217.0ms8000×body80valid
61.0ms8000×pre80true