Details

Time bar (total: 5.8s)

sample909.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520773%

Results
17.0ms330×body80valid

simplify68.0ms

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: 8.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b
(* (* z 9.0) t)
0.7b
(- (* x y) (* (* z 9.0) t))
7.5b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite17.0ms

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:
5.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series40.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (* z 9.0) t)
13.0ms
(- (* x y) (* (* z 9.0) t))
20.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

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: 7.4b

Counts
64 → 11

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))
5.1b
(/ (* x y) a)
6.6b
(/ (* 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)))
7.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
5.0ms
(/ (* t z) a)

series43.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (* 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)

simplify52.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381486
11921419
25001419

prune127.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New90595
Fresh5510
Picked011
Done000
Total9511106

Merged error: 1.0b

Counts
106 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
0.5b
(* (* z 9.0) t)
0.7b
(- (* x y) (* (* z 9.0) t))
7.6b
(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
35×add-exp-log
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
14×div-exp
12×associate-/r*
11×associate-/r/
10×pow1
7×cbrt-undiv prod-exp
6×flip3-- flip-- div-inv add-log-exp
5×cbrt-unprod
4×associate-/l*
3×rec-exp 1-exp associate-*r* pow-prod-down
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-*l* *-commutative inv-pow
Counts
4 → 117
Calls
4 calls:
8.0ms
(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
5.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
6.0ms
(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
4.0ms
(* (* z 9.0) t)
13.0ms
(- (* x y) (* (* z 9.0) t))
22.0ms
(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04941191
125021048
250021001

prune140.0ms

Filtered
67 candidates to 129 candidates (-92.5%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1281129
Fresh099
Picked011
Done011
Total12812140

Merged error: 1.0b

Counts
140 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* z 9.0) t)
0.7b
(- (* x y) (* (* z 9.0) t))
0.9b
(/ 2.0 (- (* x y) (* (* z 9.0) t)))
6.6b
(* a (/ 2.0 (- (* x y) (* (* z 9.0) t))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
16×add-exp-log add-cbrt-cube
11×pow1
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down associate-/r/
3×flip3-- associate-/r* flip-- associate-/l*
2×cbrt-undiv div-exp *-commutative div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ clear-num
Counts
4 → 93
Calls
4 calls:
5.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(/ 2.0 (- (* x y) (* (* z 9.0) t)))
9.0ms
(* a (/ 2.0 (- (* x y) (* (* z 9.0) t))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* z 9.0) t)
13.0ms
(- (* x y) (* (* z 9.0) t))
15.0ms
(/ 2.0 (- (* x y) (* (* z 9.0) t)))
22.0ms
(* a (/ 2.0 (- (* x y) (* (* z 9.0) t))))

simplify53.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0359738
11639658
25001658

prune123.0ms

Filtered
74 candidates to 105 candidates (-41.9%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh099
Picked011
Done022
Total10512117

Merged error: 1.0b

Counts
117 → 12

regimes1.7s

Accuracy

44.4% (4.0b remaining)

Error of 4.5b against oracle of 0.5b and baseline of 7.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03818
13818

end0.0ms

sample2.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520773%

Results
480.0ms11055×body80valid

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