Details

Time bar (total: 3.1s)

sample18.0ms

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: 17.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
16.8b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite87.0ms

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:
27.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
59.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (* (* 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

prune76.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
16.0b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
31×times-frac
26×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
18×associate-*l*
8×cbrt-undiv div-exp prod-exp cbrt-unprod difference-of-squares
7×associate-*r*
5×pow1 add-log-exp
4×associate-/r* associate-/r/ unswap-sqr
3×flip3-- flip-- div-inv associate-/l*
1×frac-times sub-neg frac-2neg diff-log associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 99
Calls
3 calls:
28.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
133.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
47.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series218.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
79.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
81.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05401082
12522934
25002925

prune201.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
0.0b
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
0.1b
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
151×add-exp-log
91×add-cbrt-cube
68×prod-exp
51×div-exp
38×cbrt-unprod
37×add-sqr-sqrt
34×times-frac
30×associate-*l*
29×cbrt-undiv
27×add-cube-cbrt *-un-lft-identity
11×pow1
8×rec-exp 1-exp associate-*r*
6×frac-times associate-*r/ associate-/r/
4×pow-prod-down associate-*l/ div-inv unswap-sqr
3×associate-/r* associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×flip3-- pow-flip frac-2neg clear-num flip-- inv-pow
Counts
3 → 158
Calls
3 calls:
16.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
53.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
101.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

series353.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
94.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
198.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

simplify106.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09082145
146671620
250021509

prune265.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
21×cbrt-undiv div-exp
19×times-frac
16×prod-exp cbrt-unprod
15×associate-*l*
13×add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×pow1 associate-/r/ unswap-sqr
3×associate-/r* div-inv associate-/l/
2×frac-times associate-*r/ associate-*l/ add-log-exp
1×flip3-- frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-- flip-+ associate-/l*
Counts
2 → 86
Calls
2 calls:
39.0ms
(/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (+ (* 2.0 i) (sqrt 1.0)))
54.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))

series287.0ms

Counts
2 → 6
Calls
2 calls:
196.0ms
(/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (+ (* 2.0 i) (sqrt 1.0)))
91.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06351198
13178910
25001872

prune161.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511
11511

end0.0ms

sample414.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
62.0ms8000×pre80true