Details

Time bar (total: 2.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
03112
116811
29659
350018

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.6b

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)))

rewrite24.0ms

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:
6.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
16.0ms
(/ (* 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)))

simplify42.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0342496
11633364
25001364

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.3b
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
14.3b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
26×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
21×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
2×flip3-- frac-2neg associate-*l/ clear-num flip-- associate-/l/
1×sub-neg diff-log associate-/r/ difference-of-squares
Counts
3 → 88
Calls
3 calls:
7.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
12.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
12.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series251.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
78.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
115.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify67.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04831066
12407906
25001899

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 16.0 i) (* 4.0 (/ 1 i)))
0.3b
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

rewrite11.0ms

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 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
7.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

series148.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
84.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

simplify207.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0223402
1845369
24362365
35001365

prune81.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ 0.0625 (* 0.00390625 (/ 1 (pow i 4)))) (/ (/ 0.015625 i) i))
0.1b
(/ (/ 0.015625 i) i)
0.2b
(/ 1 (pow i 4))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
63×*-un-lft-identity
61×add-sqr-sqrt add-cube-cbrt
17×add-exp-log
16×associate-/l*
12×unpow-prod-down
10×associate-/r* add-cbrt-cube
9×div-exp
8×add-log-exp
6×div-inv
4×cbrt-undiv sqr-pow
3×pow1 pow-to-exp rec-exp 1-exp pow-exp sum-log
2×frac-2neg flip3-+ frac-add clear-num flip-+
1×+-commutative associate-+l+ pow-flip associate-/l/ distribute-lft-out inv-pow
Counts
3 → 139
Calls
3 calls:
13.0ms
(+ (+ 0.0625 (* 0.00390625 (/ 1 (pow i 4)))) (/ (/ 0.015625 i) i))
6.0ms
(/ (/ 0.015625 i) i)
7.0ms
(/ 1 (pow i 4))

series83.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (+ 0.0625 (* 0.00390625 (/ 1 (pow i 4)))) (/ (/ 0.015625 i) i))
27.0ms
(/ (/ 0.015625 i) i)
27.0ms
(/ 1 (pow i 4))

simplify57.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0602938
12431826
25001793

prune252.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample370.0ms

Algorithm
intervals
Results
218.0ms8000×body80valid
61.0ms8000×pre80true