Details

Time bar (total: 8.5s)

sample2.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 15.338135%

Guaranteed chance to sample good point: 49.830582%

Results
14.0ms256×body80valid
3.0ms79×body80invalid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
6.9b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(* (* z 9.0) t)
6.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series37.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- (* x y) (* (* z 9.0) t))
4.0ms
(* (* z 9.0) t)
18.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune131.0ms

Filtered
44 candidates to 63 candidates (-43.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New511263
Fresh000
Picked101
Done000
Total521264

Merged error: 6.9b

Counts
64 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.7b
(/ (* x y) a)
6.8b
(/ (* t z) a)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series39.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* x y) a)
5.0ms
(/ (* t z) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0381486
11921419
25001419

prune142.0ms

Filtered
62 candidates to 95 candidates (-53.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New89695
Fresh4711
Picked101
Done000
Total9413107

Merged error: 0.5b

Counts
107 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
4.7b
(/ (* x y) a)
5.8b
(/ t (/ a z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
93×add-sqr-sqrt
84×add-cube-cbrt *-un-lft-identity
44×associate-*r*
23×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×cbrt-undiv div-exp
6×pow1 add-log-exp
4×prod-exp cbrt-unprod associate-/l*
3×associate-*r/ associate-*l* unswap-sqr
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 170
Calls
4 calls:
5.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
14.0ms
(* 4.5 (/ t (/ a z)))
4.0ms
(/ (* x y) a)
7.0ms
(/ t (/ a z))

series39.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
6.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ (* x y) a)
5.0ms
(/ t (/ a z))

simplify90.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07191082
136131011
250011011

prune215.0ms

Filtered
143 candidates to 182 candidates (-27.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1793182
Fresh4812
Picked101
Done000
Total18411195

Merged error: 0.0b

Counts
195 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

5.8b
(/ t (/ a z))
13.2b
(cbrt (/ t (/ a z)))
13.2b
(cbrt (/ t (/ a z)))
13.2b
(cbrt (/ t (/ a z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
273×times-frac
151×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
132×cbrt-prod
17×div-inv
13×associate-/r*
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r/ add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp associate-/l*
1×frac-2neg clear-num
Counts
4 → 229
Calls
4 calls:
6.0ms
(/ t (/ a z))
5.0ms
(cbrt (/ t (/ a z)))
5.0ms
(cbrt (/ t (/ a z)))
5.0ms
(cbrt (/ t (/ a z)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ t (/ a z))
24.0ms
(cbrt (/ t (/ a z)))
19.0ms
(cbrt (/ t (/ a z)))
19.0ms
(cbrt (/ t (/ a z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04792069
116562028
250012003

prune285.0ms

Filtered
210 candidates to 241 candidates (-14.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2410241
Fresh01010
Picked011
Done000
Total24111252

Merged error: 0.0b

Counts
252 → 11

regimes1.8s

Accuracy

74.1% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 8.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04134
14134

end0.0ms

sample3.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 15.338135%

Guaranteed chance to sample good point: 49.830582%

Results
356.0ms8000×body80valid
126.0ms2996×body80invalid

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