Details

Time bar (total: 3.4s)

sample42.0ms

Algorithm
intervals
Results
20.0ms370×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 8.3b

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)
7.5b
(/ (- (* x y) (* (* z 9.0) t)) (* 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-*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)
6.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series142.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* x y) (* (* z 9.0) t))
17.0ms
(* (* z 9.0) t)
69.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326399
11408341
25002341

prune163.0ms

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: 7.6b

Counts
64 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.3b
(* 4.5 (/ (* t z) a))
6.1b
(/ (* x y) a)
6.8b
(/ (* t z) a)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*r*
12×times-frac
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r*
4×div-inv add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 96
Calls
4 calls:
6.0ms
(* 0.5 (/ (* x y) a))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series95.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 0.5 (/ (* x y) a))
30.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

simplify50.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380456
12036370
25002370

prune219.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh7411
Picked101
Done000
Total11010120

Merged error: 0.4b

Counts
120 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.3b
(* 4.5 (/ t (/ a z)))
6.1b
(/ (* x y) a)
6.8b
(/ t (/ a z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×add-cube-cbrt *-un-lft-identity
51×associate-*r*
32×add-exp-log add-cbrt-cube
16×associate-/r*
11×div-inv
10×cbrt-undiv div-exp
8×pow1 prod-exp cbrt-unprod
6×associate-*l*
4×associate-/l* add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ *-commutative
Counts
4 → 184
Calls
4 calls:
6.0ms
(* 0.5 (/ (* x y) a))
13.0ms
(* 4.5 (/ t (/ a z)))
4.0ms
(/ (* x y) a)
5.0ms
(/ t (/ a z))

series102.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 0.5 (/ (* x y) a))
26.0ms
(* 4.5 (/ t (/ a z)))
19.0ms
(/ (* x y) a)
26.0ms
(/ t (/ a z))

simplify85.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07151056
13690965
25001965

prune490.0ms

Filtered
196 candidates to 150 candidates (76.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1933196
Fresh279
Picked101
Done000
Total19610206

Merged error: 0.0b

Counts
206 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.3b
(* 4.5 (* (/ t a) z))
4.1b
(* (/ t a) z)
6.1b
(/ (* x y) a)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
25×add-sqr-sqrt
19×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×times-frac
13×pow1
12×prod-exp cbrt-unprod
11×associate-*r*
6×cbrt-undiv div-exp
5×pow-prod-down
4×add-log-exp
3×associate-/r* *-commutative div-inv unswap-sqr
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/l*
Counts
4 → 101
Calls
4 calls:
6.0ms
(* 0.5 (/ (* x y) a))
6.0ms
(* 4.5 (* (/ t a) z))
6.0ms
(* (/ t a) z)
4.0ms
(/ (* x y) a)

series100.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 0.5 (/ (* x y) a))
33.0ms
(* 4.5 (* (/ t a) z))
19.0ms
(* (/ t a) z)
21.0ms
(/ (* x y) a)

simplify54.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0411471
11963385
25001385

prune200.0ms

Filtered
113 candidates to 72 candidates (63.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1121113
Fresh099
Picked101
Done000
Total11310123

Merged error: 0.0b

Counts
123 → 10

regimes660.0ms

Accuracy

90.6% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 8.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04322
14322

end0.0ms

sample755.0ms

Algorithm
intervals
Results
438.0ms11091×body80valid

Profiling

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