Details

Time bar (total: 3.4s)

sample28.0ms

Algorithm
intervals
Results
12.0ms360×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0276
1916
22896
37706
415146
518606
618856
718856

prune3.0ms

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: 7.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.5b
(* (* z 9.0) t)
6.7b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite21.0ms

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×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
4.0ms
(- (* x y) (* (* z 9.0) t))
8.0ms
(* (* z 9.0) t)
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- (* x y) (* (* z 9.0) t))
19.0ms
(* (* z 9.0) t)
71.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0346438
11623375
25002375

prune213.0ms

Filtered
71 candidates to 52 candidates (73.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New591271
Fresh000
Picked101
Done000
Total601272

Merged error: 6.7b

Counts
72 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* 9.0 (* t z)))
0.3b
(* 9.0 (* t z))
6.7b
(/ (- (* x y) (* 9.0 (* t z))) (* 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×expm1-log1p-u times-frac associate-*l* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*r* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
4.0ms
(- (* x y) (* 9.0 (* t z)))
5.0ms
(* 9.0 (* t z))
7.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series162.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (* x y) (* 9.0 (* t z)))
22.0ms
(* 9.0 (* t z))
77.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0336437
11324374
25002374

prune196.0ms

Filtered
71 candidates to 49 candidates (69.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New67471
Fresh4711
Picked101
Done000
Total721183

Merged error: 6.7b

Counts
83 → 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))
4.0b
(/ (* t z) a)
6.2b
(/ (* x y) a)

rewrite28.0ms

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/
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 93
Calls
4 calls:
10.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* t z) a)
5.0ms
(/ (* x y) a)

series195.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
31.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* t z) a)
21.0ms
(/ (* x y) a)

simplify70.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0405538
12002467
25001467

prune274.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New987105
Fresh7310
Picked101
Done000
Total10610116

Merged error: 0.0b

Counts
116 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.0b
(/ (* t z) a)
6.0b
(/ x (/ a y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
53×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
16×associate-/r*
7×cbrt-undiv div-exp associate-*r* div-inv
6×pow1 add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×associate-*r/ associate-*l*
2×frac-2neg clear-num
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down associate-/r/ *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 141
Calls
4 calls:
9.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* t z) a)
6.0ms
(/ x (/ a y))

series177.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
37.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* t z) a)
24.0ms
(/ x (/ a y))

simplify86.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
0624894
12901819
25001819

prune436.0ms

Filtered
153 candidates to 117 candidates (76.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1467153
Fresh639
Picked101
Done000
Total15310163

Merged error: 0b

Counts
163 → 10

regimes355.0ms

Accuracy

15.6% (4.2b remaining)

Error of 4.2b against oracle of 0.0b and baseline of 5.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04022
14022

end0.0ms

sample721.0ms

Algorithm
intervals
Results
389.0ms11229×body80valid