Details

Time bar (total: 3.5s)

sample42.0ms

Algorithm
intervals
Results
26.0ms365×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
6.5b
(/ (- (* x y) (* (* z 9.0) t)) (* 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×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:
2.0ms
(- (* x y) (* (* z 9.0) t))
6.0ms
(* (* z 9.0) t)
8.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series129.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (* x y) (* (* z 9.0) t))
17.0ms
(* (* z 9.0) t)
64.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune152.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 4.5 (/ (* t z) a))
5.0b
(/ (* t z) a)
5.8b
(/ (* x y) a)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod
5×pow1
3×associate-*l* div-inv add-log-exp
2×frac-2neg clear-num associate-/l*
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
3 → 69
Calls
3 calls:
7.0ms
(* 4.5 (/ (* t z) a))
3.0ms
(/ (* t z) a)
3.0ms
(/ (* x y) a)

series66.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(/ (* t z) a)
18.0ms
(/ (* x y) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0294313
11522255
25001255

prune185.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 9.0 (* t z))
0.2b
(- (* x y) (* 9.0 (* t z)))
6.5b
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite19.0ms

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:
8.0ms
(* 9.0 (* t z))
2.0ms
(- (* x y) (* 9.0 (* t z)))
8.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series133.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* 9.0 (* t z))
53.0ms
(- (* x y) (* 9.0 (* t z)))
61.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0311398
11209340
25002340

prune155.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 4.5 (/ 1 (/ a (* t z))))
0.4b
(/ 1 (/ a (* t z)))
5.1b
(/ a (* t z))
5.8b
(/ (* x y) a)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
71×times-frac
67×add-exp-log
46×add-sqr-sqrt
40×*-un-lft-identity
39×add-cube-cbrt
37×add-cbrt-cube
28×div-exp
26×associate-*r*
18×prod-exp
14×cbrt-undiv
11×associate-/r* div-inv
8×cbrt-unprod
7×pow1 associate-/l*
6×rec-exp 1-exp
4×add-log-exp
3×frac-2neg associate-*l* clear-num unswap-sqr
2×associate-/r/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 155
Calls
4 calls:
22.0ms
(* 4.5 (/ 1 (/ a (* t z))))
6.0ms
(/ 1 (/ a (* t z)))
3.0ms
(/ a (* t z))
3.0ms
(/ (* x y) a)

series88.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 4.5 (/ 1 (/ a (* t z))))
23.0ms
(/ 1 (/ a (* t z)))
19.0ms
(/ a (* t z))
19.0ms
(/ (* x y) a)

simplify62.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0542829
12762687
25002622

prune323.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

regimes633.0ms

Accuracy

44.8% (4.1b remaining)

Error of 4.5b against oracle of 0.4b and baseline of 7.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04022
14022

end0.0ms

sample1.2s

Algorithm
intervals
Results
832.0ms11189×body80valid