Details

Time bar (total: 2.9s)

sample27.0ms

Algorithm
intervals
Results
12.0ms360×body80valid

simplify68.0ms

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: 7.4b

Counts
2 → 1

localize12.0ms

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))

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

series132.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (* x y) (* (* z 9.0) t))
20.0ms
(* (* z 9.0) t)
62.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326399
11408341
25002341

prune155.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New511263
Fresh000
Picked101
Done000
Total521264

Merged error: 6.7b

Counts
64 → 12

localize9.0ms

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))

rewrite15.0ms

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:
3.0ms
(- (* x y) (* 9.0 (* t z)))
4.0ms
(* 9.0 (* t z))
6.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (* x y) (* 9.0 (* t z)))
19.0ms
(* 9.0 (* t z))
62.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0311398
11209340
25001340

prune143.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New58563
Fresh5611
Picked101
Done000
Total641175

Merged error: 6.7b

Counts
75 → 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))
4.0b
(/ (* t z) a)
6.2b
(/ (* x y) 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
(/ (* t z) a)
7.0ms
(/ (* x y) a)

series164.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
25.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(/ (* t z) a)
18.0ms
(/ (* x y) a)

simplify48.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0381486
11921419
25001419

prune206.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New88795
Fresh7310
Picked101
Done000
Total9610106

Merged error: 0.0b

Counts
106 → 10

localize10.0ms

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))

rewrite27.0ms

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×associate-/l*
3×associate-*r/ associate-*l*
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log pow-prod-down associate-/r/ *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 131
Calls
4 calls:
7.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* t z) a)
5.0ms
(/ x (/ a y))

series143.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
25.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(/ (* t z) a)
23.0ms
(/ x (/ a y))

simplify67.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0600842
12819771
25001771

prune342.0ms

Filtered
143 candidates to 107 candidates (74.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1367143
Fresh639
Picked101
Done000
Total14310153

Merged error: 0b

Counts
153 → 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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04022
14022

end0.0ms

sample731.0ms

Algorithm
intervals
Results
397.0ms11229×body80valid