Details

Time bar (total: 5.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
03212
117211
29749
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: 16.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
15.6b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
1248×add-sqr-sqrt
600×times-frac
566×associate-*l*
536×*-un-lft-identity
507×associate-*r*
418×add-cube-cbrt
371×unswap-sqr
277×swap-sqr
153×difference-of-squares
141×prod-diff
126×*-commutative
51×distribute-lft-out--
47×fma-neg
40×associate-/r*
23×add-exp-log add-cbrt-cube
15×associate-/l*
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×add-log-exp
2×pow1 expm1-log1p-u flip3-- associate-*l/ associate-/r/ flip-- log1p-expm1-u
1×sub-neg frac-2neg diff-log clear-num div-inv
Counts
2 → 895
Calls
2 calls:
31.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
60.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
80.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify161.0ms

Algorithm
egg-herbie
Counts
901 → 901
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
0285311425
1500110428

prune884.0ms

Filtered
901 candidates to 310 candidates (34.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New9001901
Fresh000
Picked011
Done000
Total9002902

Merged error: 0b

Counts
902 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite424.0ms

Algorithm
rewrite-expression-head
Rules
1916×add-sqr-sqrt
1457×*-un-lft-identity
1322×times-frac
771×add-cube-cbrt
726×frac-times
641×associate-/l*
637×associate-/r*
634×associate-*r*
388×difference-of-squares
327×associate-*l*
265×unswap-sqr
194×sqrt-prod distribute-lft-out--
182×associate-/l/
148×distribute-lft-out
139×swap-sqr
95×clear-num
93×frac-2neg
66×associate-*r/
60×associate-/r/
50×*-commutative
48×add-exp-log add-cbrt-cube
31×div-inv
28×flip3-- flip--
19×cbrt-undiv div-exp
14×prod-exp cbrt-unprod
11×associate-*l/
5×pow1
4×un-div-inv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-+ flip-+
1×pow-prod-down
Counts
3 → 1474
Calls
3 calls:
249.0ms
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))
11.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
11.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))

series586.0ms

Counts
3 → 9
Calls
3 calls:
406.0ms
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))
92.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
89.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))

simplify226.0ms

Algorithm
egg-herbie
Counts
1483 → 1483
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
0500121743

prune2.2s

Filtered
1483 candidates to 635 candidates (42.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New148301483
Fresh000
Picked011
Done011
Total148321485

Merged error: 0b

Counts
1485 → 2

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511
11511

end0.0ms

sample393.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid
66.0ms8000×pre80true