Details

Time bar (total: 3.9s)

sample32.0ms

Algorithm
intervals
Results
14.0ms372×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.7b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
10.1b
(/ (- (* 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))
6.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series156.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (* z 9.0) t)
69.0ms
(- (* x y) (* (* z 9.0) t))
64.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune152.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New521163
Fresh000
Picked101
Done000
Total531164

Merged error: 10.1b

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))
6.1b
(/ (* x y) a)
7.0b
(/ (* 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:
5.0ms
(- (* 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)

series173.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

simplify54.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0381486
11921419
25001419

prune200.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New90595
Fresh4610
Picked101
Done000
Total9511106

Merged error: 0.5b

Counts
106 → 11

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)))
4.8b
(/ t (/ a z))
6.1b
(/ (* x y) a)

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))))
13.0ms
(* 4.5 (/ t (/ a z)))
8.0ms
(/ t (/ a z))
4.0ms
(/ (* x y) a)

series175.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
31.0ms
(* 4.5 (/ t (/ a z)))
20.0ms
(/ t (/ a z))
19.0ms
(/ (* x y) a)

simplify88.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07191082
136131011
250011011

prune446.0ms

Filtered
182 candidates to 143 candidates (78.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1784182
Fresh4610
Picked101
Done000
Total18310193

Merged error: 0.0b

Counts
193 → 10

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)))
4.8b
(/ t (/ a z))
5.0b
(* x (/ y a))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
104×add-sqr-sqrt
90×add-cube-cbrt *-un-lft-identity
57×associate-*r*
23×add-exp-log add-cbrt-cube
13×associate-/r*
10×div-inv
8×pow1
7×cbrt-undiv div-exp
6×associate-*l* add-log-exp
5×associate-*r/ prod-exp cbrt-unprod unswap-sqr
3×associate-/l*
2×pow-prod-down associate-/r/ *-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip--
Counts
4 → 181
Calls
4 calls:
6.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ t (/ a z))))
13.0ms
(* 4.5 (/ t (/ a z)))
6.0ms
(/ t (/ a z))
6.0ms
(* x (/ y a))

series174.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ t (/ a z))))
26.0ms
(* 4.5 (/ t (/ a z)))
24.0ms
(/ t (/ a z))
19.0ms
(* x (/ y a))

simplify91.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07751130
138871059
250011059

prune434.0ms

Filtered
193 candidates to 152 candidates (78.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1921193
Fresh099
Picked011
Done000
Total19211203

Merged error: 0.0b

Counts
203 → 11

regimes689.0ms

Accuracy

89.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 8.2b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04321
14321

end0.0ms

sample790.0ms

Algorithm
intervals
Results
443.0ms11255×body80valid

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