Details

Time bar (total: 2.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms256×pre80true

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
03212
117211
29749
350018

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
12.9b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity prod-diff
2×pow1 expm1-log1p-u flip3-- associate-*l/ associate-/r/ flip-- log1p-expm1-u
1×sub-neg frac-2neg times-frac fma-neg diff-log clear-num associate-/r* div-inv associate-/l* difference-of-squares
Counts
2 → 48
Calls
2 calls:
12.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
22.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
80.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0390550
11886402
25001398

prune96.0ms

Filtered
54 candidates to 35 candidates (64.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
12.9b
(/ (* i i) (* (* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log add-cbrt-cube
22×prod-exp cbrt-unprod
12×prod-diff
10×cbrt-undiv add-sqr-sqrt div-exp
8×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
6×sqrt-prod
4×pow1 associate-*r/
3×associate-*r* associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-*l/ associate-/r/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 75
Calls
2 calls:
15.0ms
(* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
26.0ms
(/ (* i i) (* (* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

series379.0ms

Counts
2 → 6
Calls
2 calls:
180.0ms
(* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
199.0ms
(/ (* i i) (* (* (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

simplify87.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05671169
13025833
25002820

prune136.0ms

Filtered
81 candidates to 42 candidates (51.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (pow (sqrt 1.0) 4) (pow i 4))
0.3b
(/ (* 0.015625 1.0) (pow i 2))

rewrite24.0ms

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:
8.0ms
(/ (pow (sqrt 1.0) 4) (pow i 4))
5.0ms
(/ (* 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))

simplify53.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04311198
121151098
250011070

prune341.0ms

Filtered
152 candidates to 79 candidates (52.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 16.0b

bsearch51.0ms

Steps
ItersRangePoint
9
3.0824122837109567
561117.9167827321
215.8901167193052

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03319
13319

end0.0ms

sample414.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid
67.0ms8000×pre80true