Details

Time bar (total: 1.6s)

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
03112
116811
29659
350018

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize11.0ms

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)))

rewrite31.0ms

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:
10.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
20.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
74.0ms
(/ (* 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 (9.0ms)

IterNodesCost
0342496
11633364
25001364

prune71.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:
23.0ms
(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
37.0ms
(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

series352.0ms

Counts
2 → 6
Calls
2 calls:
161.0ms
(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
191.0ms
(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

simplify81.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06281179
13646850
25001825

prune134.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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 pow-flip frac-2neg clear-num div-inv inv-pow add-log-exp
Counts
2 → 110
Calls
2 calls:
4.0ms
(/ 1 (pow i 4))
4.0ms
(/ 1 (pow i 2))

series43.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ 1 (pow i 4))
15.0ms
(/ 1 (pow i 2))

simplify32.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0265506
11039432
25001356

prune129.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

100% (0.0b remaining)

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

bsearch43.0ms

Steps
ItersRangePoint
9
3.0824122837109567
561117.9167827321
215.8901167193052

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03919
13919

end0.0ms

sample366.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid
66.0ms8000×pre80true