Details

Time bar (total: 5.8s)

sample962.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results
16.0ms361×body80valid

simplify67.0ms

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: 9.8b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.7b
(- (* x y) (* (* z 9.0) t))
9.3b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite18.0ms

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:
7.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
6.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series34.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* z 9.0) t)
12.0ms
(- (* x y) (* (* z 9.0) t))
19.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0326399
11408341
25002341

prune125.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New521163
Fresh000
Picked101
Done000
Total531164

Merged error: 9.4b

Counts
64 → 11

localize11.0ms

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))
5.8b
(/ (* x y) a)
8.3b
(/ (* t z) a)

rewrite23.0ms

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:
5.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
6.0ms
(/ (* t z) a)

series38.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (* 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)

simplify51.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

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
New88795
Fresh4610
Picked101
Done000
Total9313106

Merged error: 1.0b

Counts
106 → 13

localize11.0ms

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)))
4.5b
(/ t (/ a z))
5.8b
(/ (* x y) a)

rewrite35.0ms

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)))
5.0ms
(/ t (/ a z))
4.0ms
(/ (* x y) a)

series42.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
6.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ t (/ a z))
5.0ms
(/ (* x y) a)

simplify87.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07191082
136131011
250011011

prune221.0ms

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.2b
(/ (cbrt t) (/ (cbrt a) z))
5.8b
(/ (* x y) a)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
145×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
138×cbrt-prod
25×associate-/r*
14×add-exp-log
11×add-cbrt-cube
9×div-inv
7×associate-/l*
5×cbrt-undiv div-exp
4×pow1 add-log-exp
2×frac-2neg pow1/3 clear-num
1×prod-exp associate-/r/ cbrt-unprod
Counts
4 → 218
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
9.0ms
(/ (cbrt t) (/ (cbrt a) z))
5.0ms
(/ (* x y) a)

series79.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
22.0ms
(cbrt a)
30.0ms
(/ (cbrt t) (/ (cbrt a) z))
5.0ms
(/ (* x y) a)

simplify82.0ms

Algorithm
egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
08082170
132182112
250012027

prune189.0ms

Filtered
163 candidates to 230 candidates (-41.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2300230
Fresh01010
Picked011
Done000
Total23011241

Merged error: 0.0b

Counts
241 → 11

regimes1.5s

Accuracy

70.6% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 5.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04122
14122

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results
525.0ms11238×body80valid

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