Details

Time bar (total: 8.9s)

analyze2.7s

Algorithm
search
sampling

Space saved by range analysis: 0.243902%

Space saved by search: 4.189334%

Guaranteed chance to sample good point: 39.603457%

sample31.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms81×body80invalid

simplify70.0ms

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

rewrite16.0ms

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))

series38.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* z 9.0) t)
16.0ms
(- (* 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

prune117.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New54963
Fresh000
Picked101
Done000
Total55964

Merged error: 9.5b

Counts
64 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
5.0ms
(* z (* 9.0 t))
4.0ms
(- (* x y) (* z (* 9.0 t)))
7.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series36.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* z (* 9.0 t))
14.0ms
(- (* x y) (* z (* 9.0 t)))
19.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318398
11325340
25002340

prune96.0ms

Filtered
42 candidates to 63 candidates (-50.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New61263
Fresh178
Picked011
Done000
Total621072

Merged error: 9.5b

Counts
72 → 10

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))
6.8b
(/ (* x y) a)
7.2b
(/ (* t z) a)

rewrite24.0ms

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)

series39.0ms

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)

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0381486
11921419
25001419

prune128.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New89695
Fresh358
Picked101
Done011
Total9312105

Merged error: 0.8b

Counts
105 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
4.6b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
6.8b
(/ (* x y) a)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
15.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
4.0ms
(/ (* x y) a)

series64.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt a)
22.0ms
(cbrt a)
10.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.0ms
(/ (* x y) a)

simplify60.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0540790
12622684
25002631

prune105.0ms

Filtered
83 candidates to 114 candidates (-37.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh1910
Picked101
Done011
Total11511126

Merged error: 0.0b

Counts
126 → 11

regimes1.5s

Accuracy

82.7% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 7.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04935
14935

end0.0ms

analyze2.7s

Algorithm
search
sampling

Space saved by range analysis: 0.243902%

Space saved by search: 4.189334%

Guaranteed chance to sample good point: 39.603457%

sample859.0ms

Algorithm
intervals
Results
354.0ms8000×body80valid
129.0ms2798×body80invalid

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