Details

Time bar (total: 3.6s)

sample29.0ms

Algorithm
intervals
Results
14.0ms347×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0276
1916
22896
37706
415146
518606
618856
718856

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: 7.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b
(- (* x y) (* (* z 9.0) t))
0.4b
(* (* z 9.0) t)
7.1b
(/ (- (* 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:
7.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(* (* z 9.0) t)
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series133.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (* x y) (* (* z 9.0) t))
17.0ms
(* (* z 9.0) t)
62.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346438
11623375
25002375

prune184.0ms

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: 7.1b

Counts
72 → 12

localize14.0ms

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))
5.6b
(/ (* x y) a)
5.8b
(/ (* 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/
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:
6.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
5.0ms
(/ (* t z) a)

series171.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
31.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

simplify56.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0405538
12002467
25001467

prune228.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New987105
Fresh7411
Picked101
Done000
Total10611117

Merged error: 0.7b

Counts
117 → 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))
3.7b
(* x (/ y a))
5.8b
(/ (* t z) a)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
20×associate-*r*
17×add-cube-cbrt *-un-lft-identity
16×times-frac
8×pow1 associate-*r/
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* div-inv unswap-sqr
2×pow-prod-down *-commutative
1×sub-neg flip3-- frac-2neg fma-neg diff-log prod-diff clear-num frac-sub flip-- associate-/l* sub-div
Counts
4 → 104
Calls
4 calls:
7.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
6.0ms
(* x (/ y a))
4.0ms
(/ (* t z) a)

series170.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
26.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(* x (/ y a))
19.0ms
(/ (* t z) a)

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0468586
12314515
25001515

prune228.0ms

Filtered
116 candidates to 79 candidates (68.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1133116
Fresh2810
Picked101
Done000
Total11611127

Merged error: 0b

Counts
127 → 11

localize11.0ms

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))
3.8b
(/ x (/ a y))
5.8b
(/ (* t z) a)

rewrite31.0ms

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:
8.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
8.0ms
(/ x (/ a y))
4.0ms
(/ (* t z) a)

series147.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
29.0ms
(* 4.5 (/ (* t z) a))
20.0ms
(/ x (/ a y))
19.0ms
(/ (* t z) a)

simplify74.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0624894
12901819
25001819

prune343.0ms

Filtered
153 candidates to 117 candidates (76.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1512153
Fresh2810
Picked101
Done000
Total15410164

Merged error: 0b

Counts
164 → 10

regimes657.0ms

Accuracy

86.5% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 8.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04422
14422

end0.0ms

sample838.0ms

Algorithm
intervals
Results
491.0ms11098×body80valid