Details

Time bar (total: 3.5s)

sample26.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
3.0ms256×pre80true

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
03212
117211
29749
350018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize9.0ms

Local error

Found 1 expressions with local error:

13.9b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite22.0ms

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

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0319406
11586285
25001285

prune57.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
13.4b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite79.0ms

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:
56.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
19.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series171.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
86.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0549997
12561859
25001846

prune189.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
155×add-exp-log
89×add-cbrt-cube
68×prod-exp
53×add-sqr-sqrt div-exp
46×times-frac
38×*-un-lft-identity
36×add-cube-cbrt cbrt-unprod
28×cbrt-undiv
22×associate-*r*
16×associate-*l*
12×pow1
9×rec-exp 1-exp
8×associate-/r/
6×frac-times associate-*l/ associate-/r* associate-/l* unswap-sqr
5×div-inv
4×expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
2×flip3-- frac-2neg flip3-+ clear-num *-commutative flip-- flip-+
1×pow-flip inv-pow
Counts
4 → 197
Calls
4 calls:
7.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
7.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
37.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))))
47.0ms
(* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0)))

series609.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
73.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
224.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))))
214.0ms
(* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010232549
150011906

prune417.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
32×add-sqr-sqrt
28×times-frac
22×cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
16×prod-exp cbrt-unprod
13×associate-*r*
7×associate-*l*
6×associate-/r*
5×pow1
4×div-inv associate-/l* unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
2×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r/
1×flip3-- pow-prod-down *-commutative flip--
Counts
3 → 117
Calls
3 calls:
18.0ms
(/ (* (/ i (* 2.0 2.0)) (/ i (fma 2.0 i (sqrt 1.0)))) (- (* 2.0 i) (sqrt 1.0)))
15.0ms
(* (/ i (* 2.0 2.0)) (/ i (fma 2.0 i (sqrt 1.0))))
2.0ms
(/ i (fma 2.0 i (sqrt 1.0)))

series407.0ms

Counts
3 → 9
Calls
3 calls:
215.0ms
(/ (* (/ i (* 2.0 2.0)) (/ i (fma 2.0 i (sqrt 1.0)))) (- (* 2.0 i) (sqrt 1.0)))
97.0ms
(* (/ i (* 2.0 2.0)) (/ i (fma 2.0 i (sqrt 1.0))))
94.0ms
(/ i (fma 2.0 i (sqrt 1.0)))

simplify87.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06901324
137531038
250011012

prune286.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b 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
01410
11410

end0.0ms

sample642.0ms

Algorithm
intervals
Results
447.0ms8000×body80valid
93.0ms8000×pre80true