Details

Time bar (total: 1.8s)

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
3.0ms256×pre80true

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
03112
116811
29659
350018

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 15.8b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
15.3b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite22.0ms

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:
6.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
14.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
76.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0342496
11633364
25001364

prune65.0ms

Filtered
46 candidates to 29 candidates (63.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New44246
Fresh000
Picked101
Done000
Total45247

Merged error: 0b

Counts
47 → 2

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)))
14.8b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite36.0ms

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:
6.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
16.0ms
(* (/ 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))

series212.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
77.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
78.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05401082
12522934
25002925

prune167.0ms

Filtered
108 candidates to 81 candidates (75.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done000
Total1082110

Merged error: 0b

Counts
110 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
0.2b
(* 0.00390625 (/ 1 (pow i 4)))
0.6b
(/ 1 (pow i 4))
0.8b
(/ 1 (pow i 2))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
67×add-sqr-sqrt
55×*-un-lft-identity
52×add-cube-cbrt
42×add-exp-log
35×unpow-prod-down
25×associate-*r*
18×div-exp
15×associate-/r*
13×add-cbrt-cube sqr-pow
10×prod-exp
9×pow-to-exp rec-exp 1-exp pow-exp add-log-exp
7×unswap-sqr
6×pow1 associate-/l*
4×frac-add unpow2
3×cbrt-undiv flip3-+ associate-*r/ associate-*l* sum-log un-div-inv flip-+ div-inv
2×pow-flip frac-2neg clear-num cbrt-unprod inv-pow
1×+-commutative associate-+r+ pow-prod-down *-commutative
Counts
4 → 185
Calls
4 calls:
14.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
11.0ms
(* 0.00390625 (/ 1 (pow i 4)))
5.0ms
(/ 1 (pow i 4))
5.0ms
(/ 1 (pow i 2))

series113.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
34.0ms
(* 0.00390625 (/ 1 (pow i 4)))
26.0ms
(/ 1 (pow i 4))
20.0ms
(/ 1 (pow i 2))

simplify75.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06201113
12792964
25002858

prune262.0ms

Filtered
197 candidates to 91 candidates (46.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh000
Picked011
Done011
Total1972199

Merged error: 0b

Counts
199 → 2

regimes14.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.7b

bsearch46.0ms

Steps
ItersRangePoint
9
11.640507331238858
1603314.0071296887
218.48110144968723

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample459.0ms

Algorithm
intervals
Results
279.0ms8000×body80valid
84.0ms8000×pre80true