Details

Time bar (total: 3.7s)

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
03212
117211
29749
350018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize8.0ms

Local error

Found 1 expressions with local error:

17.5b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
2×associate-*l/ associate-/r/
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
14.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series85.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0319406
11586285
25001285

prune52.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
16.8b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
31×times-frac
25×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
18×associate-*l*
8×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r* difference-of-squares
4×pow1 associate-/r* associate-/r/ unswap-sqr
3×div-inv associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 90
Calls
2 calls:
19.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
9.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series178.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
96.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0549997
12561859
25001846

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

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))))

rewrite48.0ms

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×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×flip3-- pow-flip frac-2neg clear-num flip-- inv-pow
Counts
3 → 164
Calls
3 calls:
6.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
14.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
20.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

series373.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
96.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
211.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

simplify107.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09302157
146991625
250011622

prune311.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (log (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))))
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))))
13.8b
(log (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
272×add-exp-log
128×prod-exp
91×div-exp
90×add-cbrt-cube
38×cbrt-unprod
31×add-sqr-sqrt
30×associate-*l*
29×rem-log-exp
28×cbrt-undiv
25×times-frac
23×pow1
21×add-cube-cbrt *-un-lft-identity
16×frac-times associate-*r/
14×log-div rec-exp 1-exp
10×pow-prod-down associate-*l/
8×associate-*r*
7×exp-diff
6×exp-prod log-pow
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp unswap-sqr
3×div-inv
2×log-prod *-commutative
1×flip3-- flip3-+ exp-sum flip-- flip-+ rem-exp-log
Counts
4 → 202
Calls
4 calls:
20.0ms
(exp (log (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))))
14.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
20.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))
19.0ms
(log (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))))

series957.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(exp (log (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))))
99.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
209.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))
425.0ms
(log (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))))

simplify111.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010002580
149992012
250012012

prune544.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample378.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid
64.0ms8000×pre80true