Details

Time bar (total: 2.9s)

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
03212
117211
29749
350018

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.6b

localize8.0ms

Local error

Found 1 expressions with local error:

16.1b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite61.0ms

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:
60.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0319406
11586285
25001285

prune58.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
15.4b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite183.0ms

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:
135.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
45.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series163.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
82.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0549997
12561859
25001846

prune183.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ i (- (* 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))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
149×add-exp-log
91×add-cbrt-cube
68×prod-exp
50×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
10×pow1
8×associate-*r*
7×rec-exp 1-exp
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×frac-2neg flip3-+ clear-num flip-+
Counts
3 → 160
Calls
3 calls:
15.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
53.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
103.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

series379.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
91.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
199.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

simplify108.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09382148
148741624
250011624

prune319.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (pow (sqrt 1.0) 4) (pow i 4))
0.2b
(/ (* 0.015625 1.0) (pow i 2))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
87×unpow-prod-down
78×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×add-exp-log
24×sqrt-prod
21×sqr-pow
15×div-exp associate-/r*
11×associate-/l*
9×add-cbrt-cube
8×pow-to-exp pow-exp
3×cbrt-undiv prod-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv unpow2 add-log-exp
1×cbrt-unprod
Counts
2 → 146
Calls
2 calls:
14.0ms
(/ (pow (sqrt 1.0) 4) (pow i 4))
12.0ms
(/ (* 0.015625 1.0) (pow i 2))

series130.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(/ (pow (sqrt 1.0) 4) (pow i 4))
26.0ms
(/ (* 0.015625 1.0) (pow i 2))

simplify52.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04321156
11949961
25001853

prune337.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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

sample411.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid
65.0ms8000×pre80true