Details

Time bar (total: 4.1s)

sample31.0ms

Algorithm
intervals
Results
11.0ms384×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: 8.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* (* z 9.0) t))
0.5b
(* (* z 9.0) t)
7.5b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite47.0ms

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:
8.0ms
(- (* x y) (* (* z 9.0) t))
17.0ms
(* (* z 9.0) t)
22.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series122.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (* x y) (* (* z 9.0) t))
16.0ms
(* (* z 9.0) t)
59.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune157.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.6b

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))
6.2b
(/ (* t z) a)
6.2b
(/ (* x y) a)

rewrite57.0ms

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:
16.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
19.0ms
(* 4.5 (/ (* t z) a))
9.0ms
(/ (* t z) a)
10.0ms
(/ (* x y) a)

series154.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
26.0ms
(* 4.5 (/ (* t z) a))
17.0ms
(/ (* t z) a)
17.0ms
(/ (* x y) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0381486
11921419
25001419

prune218.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
5.3b
(/ t (/ a z))
6.2b
(/ (* x y) a)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
93×add-sqr-sqrt
84×add-cube-cbrt *-un-lft-identity
44×associate-*r*
23×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×cbrt-undiv div-exp
6×pow1 add-log-exp
4×prod-exp cbrt-unprod associate-/l*
3×associate-*r/ associate-*l* unswap-sqr
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 170
Calls
4 calls:
16.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
27.0ms
(* 4.5 (/ t (/ a z)))
11.0ms
(/ t (/ a z))
9.0ms
(/ (* x y) a)

series156.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
24.0ms
(* 4.5 (/ t (/ a z)))
18.0ms
(/ t (/ a z))
20.0ms
(/ (* x y) a)

simplify85.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07191082
136131011
250011011

prune503.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (* (* x y) (/ 1 a))) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
5.3b
(/ t (/ a z))
6.3b
(* (* x y) (/ 1 a))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
57×associate-*r*
40×add-exp-log
30×add-cbrt-cube
15×prod-exp
13×associate-/r*
11×pow1
10×div-exp div-inv
9×cbrt-unprod
8×cbrt-undiv
7×associate-*r/
6×add-log-exp
4×associate-*l* pow-prod-down
3×associate-/l* unswap-sqr
2×rec-exp 1-exp associate-/r/ un-div-inv *-commutative frac-sub
1×sub-neg flip3-- frac-2neg diff-log clear-num flip--
Counts
4 → 188
Calls
4 calls:
58.0ms
(- (* 0.5 (* (* x y) (/ 1 a))) (* 4.5 (/ t (/ a z))))
29.0ms
(* 4.5 (/ t (/ a z)))
9.0ms
(/ t (/ a z))
23.0ms
(* (* x y) (/ 1 a))

series156.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- (* 0.5 (* (* x y) (/ 1 a))) (* 4.5 (/ t (/ a z))))
27.0ms
(* 4.5 (/ t (/ a z)))
18.0ms
(/ t (/ a z))
17.0ms
(* (* x y) (/ 1 a))

simplify105.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08621207
144321106
250021088

prune526.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes576.0ms

Accuracy

90% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 8.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04221
14221

end0.0ms

sample795.0ms

Algorithm
intervals
Results
347.0ms11137×body80valid