Details

Time bar (total: 1.9s)

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
03112
116811
29659
350018

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

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)))

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

series141.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
80.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0342496
11633364
25001364

prune81.0ms

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

rewrite69.0ms

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:
25.0ms
(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
39.0ms
(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

series378.0ms

Counts
2 → 6
Calls
2 calls:
179.0ms
(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
199.0ms
(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

simplify85.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06281179
13646850
25001825

prune143.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

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

rewrite36.0ms

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:
24.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
4.0ms
(/ 1 (pow i 4))
4.0ms
(/ 1 (pow i 2))

series77.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
27.0ms
(/ 1 (pow i 4))
16.0ms
(/ 1 (pow i 2))

simplify59.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0474821
12042726
25001650

prune184.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.9b

bsearch44.0ms

Steps
ItersRangePoint
8
0.50163782953455
244.25361255399255
219.76498440921787

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03919
13919

end0.0ms

sample381.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid
64.0ms8000×pre80true