Details

Time bar (total: 3.1s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms256×pre80true

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
03112
116811
29659
350018

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
11.9b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite23.0ms

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:
7.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
15.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
87.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0342496
11633364
25001364

prune87.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

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)))
11.6b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite37.0ms

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:
7.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
17.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
10.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series240.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
88.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
88.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05401082
12522934
25002925

prune224.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
11.9b
(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log add-cbrt-cube
22×prod-exp cbrt-unprod
12×associate-*l/
10×cbrt-undiv div-exp
8×frac-times associate-/r/
6×add-sqr-sqrt flip3-- flip3-+ flip-- flip-+
4×pow1 add-cube-cbrt *-un-lft-identity associate-*r/
3×associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 71
Calls
2 calls:
11.0ms
(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
18.0ms
(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

series397.0ms

Counts
2 → 6
Calls
2 calls:
186.0ms
(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
211.0ms
(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

simplify85.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06281179
13646850
25001825

prune160.0ms

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
(+ 0.0625 (/ (* 0.015625 1.0) (pow i 2)))
0.0b
(+ (+ 0.0625 (/ (* 0.015625 1.0) (pow i 2))) (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))))
0.2b
(/ (pow (sqrt 1.0) 4) (pow i 4))
0.3b
(/ (* 0.015625 1.0) (pow i 2))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
87×unpow-prod-down
78×times-frac
56×*-un-lft-identity
54×add-sqr-sqrt add-cube-cbrt
29×add-exp-log
24×sqrt-prod
21×sqr-pow
15×div-exp associate-/r*
11×add-cbrt-cube associate-/l* add-log-exp
8×pow-to-exp pow-exp
4×pow1 sum-log
3×cbrt-undiv flip3-+ prod-exp flip-+
2×+-commutative frac-2neg associate-*r/ frac-add clear-num div-inv unpow2
1×associate-+l+ cbrt-unprod distribute-lft-out
Counts
4 → 169
Calls
4 calls:
9.0ms
(+ 0.0625 (/ (* 0.015625 1.0) (pow i 2)))
9.0ms
(+ (+ 0.0625 (/ (* 0.015625 1.0) (pow i 2))) (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))))
7.0ms
(/ (pow (sqrt 1.0) 4) (pow i 4))
6.0ms
(/ (* 0.015625 1.0) (pow i 2))

series270.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ 0.0625 (/ (* 0.015625 1.0) (pow i 2)))
83.0ms
(+ (+ 0.0625 (/ (* 0.015625 1.0) (pow i 2))) (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))))
110.0ms
(/ (pow (sqrt 1.0) 4) (pow i 4))
27.0ms
(/ (* 0.015625 1.0) (pow i 2))

simplify71.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06001527
126761318
250011210

prune624.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.5b

bsearch44.0ms

Steps
ItersRangePoint
7
69.979237422269
3396.5660583078065
248.47326712178204

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03721
13721

end0.0ms

sample425.0ms

Algorithm
intervals
Results
262.0ms8000×body80valid
66.0ms8000×pre80true