Details

Time bar (total: 7.2s)

sample2.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.878906%

Guaranteed chance to sample good point: 46.163793%

Results
9.0ms256×body80valid
1.0ms19×body80invalid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
10.8b
(/ (* (- y z) t) (- a z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
4×add-cube-cbrt add-log-exp
2×pow1 cbrt-undiv flip3-- div-exp associate-*l/ associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 41
Calls
2 calls:
7.0ms
(+ x (/ (* (- y z) t) (- a z)))
9.0ms
(/ (* (- y z) t) (- a z))

series43.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ x (/ (* (- y z) t) (- a z)))
15.0ms
(/ (* (- y z) t) (- a z))

simplify30.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0276282
11092253
25002253

prune76.0ms

Filtered
35 candidates to 47 candidates (-34.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New41647
Fresh000
Picked011
Done000
Total41748

Merged error: 0.0b

Counts
48 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
4.6b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
32×cbrt-prod
30×associate-*r*
25×add-exp-log
24×add-cube-cbrt
20×cbrt-div
18×add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 122
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
32.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series103.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
29.0ms
(cbrt (- a z))
21.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify76.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06151421
126201268
250011197

prune153.0ms

Filtered
107 candidates to 134 candidates (-25.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh055
Picked011
Done011
Total1347141

Merged error: 0.0b

Counts
141 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y z) (/ t (- a z))))
0.0b
(/ t (- a z))
11.2b
(* (- y z) (/ t (- a z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
3.0ms
(+ x (* (- y z) (/ t (- a z))))
5.0ms
(/ t (- a z))
13.0ms
(* (- y z) (/ t (- a z)))

series51.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (* (- y z) (/ t (- a z))))
11.0ms
(/ t (- a z))
15.0ms
(* (- y z) (/ t (- a z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0365574
11604535
25001535

prune103.0ms

Filtered
72 candidates to 103 candidates (-43.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1012103
Fresh134
Picked011
Done112
Total1037110

Merged error: 0b

Counts
110 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (- y z) (/ (- a z) t)))
0.0b
(/ (- a z) t)
11.4b
(/ (- y z) (/ (- a z) t))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
173×*-un-lft-identity
171×add-sqr-sqrt
87×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×+-commutative associate-+r- flip3-+ sum-log associate-/r/ flip-+ distribute-lft-out
Counts
3 → 188
Calls
3 calls:
29.0ms
(+ x (/ (- y z) (/ (- a z) t)))
6.0ms
(/ (- a z) t)
11.0ms
(/ (- y z) (/ (- a z) t))

series51.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (/ (- y z) (/ (- a z) t)))
6.0ms
(/ (- a z) t)
21.0ms
(/ (- y z) (/ (- a z) t))

simplify86.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07791717
129861664
250011664

prune157.0ms

Filtered
133 candidates to 197 candidates (-48.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1961197
Fresh134
Picked011
Done112
Total1986204

Merged error: 0b

Counts
204 → 6

regimes600.0ms

Accuracy

64.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02723
12723

end0.0ms

sample3.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.878906%

Guaranteed chance to sample good point: 46.163793%

Results
317.0ms7998×body80valid
23.0ms639×body80invalid
0.0ms1×body640valid
0.0ms1×body160valid

Profiling

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