Details

Time bar (total: 2.8s)

analyze628.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
12.5%85.8%1.7%9
16.4%79.2%4.4%10
20.7%72.4%7%11
32.6%53.3%14.1%12
36%45.5%18.5%13
38.3%41.1%20.6%14

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms82×body80invalid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0521613

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.4b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* x x) (* z z))
11.6b
(/ (- (* x x) (* z z)) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×associate-/r*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 46
Calls
2 calls:
4.0ms
(- (* x x) (* z z))
10.0ms
(/ (- (* x x) (* z z)) y)

series16.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- (* x x) (* z z))
11.0ms
(/ (- (* x x) (* z z)) y)

simplify44.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05154625

prune102.0ms

Filtered
41 candidates to 52 candidates (-26.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New47552
Fresh011
Picked101
Done000
Total48654

Merged error: 0.0b

Counts
54 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x z))
0.2b
(/ (+ x z) (/ y (- x z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
161×*-un-lft-identity
117×add-sqr-sqrt
79×add-cube-cbrt
26×associate-/r*
22×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
13×associate-/r/
9×add-exp-log add-cbrt-cube
7×div-inv associate-/l*
6×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 163
Calls
2 calls:
5.0ms
(/ y (- x z))
11.0ms
(/ (+ x z) (/ y (- x z)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ y (- x z))
10.0ms
(/ (+ x z) (/ y (- x z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049692547
149692547

prune155.0ms

Filtered
110 candidates to 169 candidates (-53.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1681169
Fresh235
Picked011
Done000
Total1705175

Merged error: 0.0b

Counts
175 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (+ x z) (/ (- x z) y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×*-un-lft-identity associate-*r*
16×times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube
4×associate-*l*
3×pow1 distribute-lft-out-- difference-of-squares
2×frac-times flip3-+ associate-*l/ prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv distribute-lft-out add-log-exp
Counts
1 → 43
Calls
1 calls:
11.0ms
(* (+ x z) (/ (- x z) y))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(* (+ x z) (/ (- x z) y))

simplify46.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05470505

prune59.0ms

Filtered
30 candidates to 46 candidates (-53.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New45146
Fresh033
Picked011
Done011
Total45651

Merged error: 0b

Counts
51 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x z))
0.0b
(/ (+ x z) y)
0.3b
(/ (/ (+ x z) y) (/ 1 (- x z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
882×times-frac
601×*-un-lft-identity
461×add-sqr-sqrt
351×add-cube-cbrt
70×distribute-lft-out
55×distribute-lft-out-- difference-of-squares
42×div-inv
37×associate-/r/
31×add-exp-log
29×associate-/r*
23×associate-/l*
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ flip-+ inv-pow
Counts
3 → 471
Calls
3 calls:
5.0ms
(/ 1 (- x z))
7.0ms
(/ (+ x z) y)
19.0ms
(/ (/ (+ x z) y) (/ 1 (- x z)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- x z))
5.0ms
(/ (+ x z) y)
10.0ms
(/ (/ (+ x z) y) (/ 1 (- x z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
480 → 480
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052899340

prune373.0ms

Filtered
228 candidates to 480 candidates (-110.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4791480
Fresh123
Picked011
Done022
Total4806486

Merged error: 0b

Counts
486 → 6

regimes171.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05513
15513

end0.0ms

sample747.0ms

Algorithm
intervals
Results
356.0ms8000×body80valid
133.0ms2913×body80invalid

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