Details

Time bar (total: 5.8s)

sample74.0ms

Algorithm
intervals
Results
46.0ms381×body80valid

simplify133.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.2b
(* (* x 9.0) y)
7.3b
(* (* (* z 4.0) t) a)
18.2b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-log-exp
4×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
1×associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
6.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms
(* (* x 9.0) y)
23.0ms
(* (* (* z 4.0) t) a)
86.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series422.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
27.0ms
(* (* x 9.0) y)
30.0ms
(* (* (* z 4.0) t) a)
286.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify79.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0491675
12345574
25002574

prune254.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.9b
(/ (* a t) c)
6.4b
(/ b (* z c))
9.9b
(/ (* x y) (* z c))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
11.0ms
(* 9.0 (/ (* x y) (* z c)))
3.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
4.0ms
(/ (* x y) (* z c))

series113.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 9.0 (/ (* x y) (* z c)))
24.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))
28.0ms
(/ (* x y) (* z c))

simplify60.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0420503
12365384
25002384

prune321.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.9b
(/ (* a t) c)
5.3b
(* (/ 1 z) (/ b c))
9.9b
(/ (* x y) (* z c))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
51×add-cbrt-cube
41×add-sqr-sqrt
30×times-frac
24×*-un-lft-identity
22×add-cube-cbrt prod-exp
18×div-exp associate-*r* cbrt-unprod
16×associate-*l*
14×cbrt-undiv
8×pow1
7×unswap-sqr
5×div-inv
4×associate-/r* add-log-exp
2×rec-exp frac-2neg 1-exp associate-*r/ pow-prod-down clear-num *-commutative associate-/l*
1×frac-times associate-*l/
Counts
4 → 127
Calls
4 calls:
11.0ms
(* 9.0 (/ (* x y) (* z c)))
3.0ms
(/ (* a t) c)
14.0ms
(* (/ 1 z) (/ b c))
4.0ms
(/ (* x y) (* z c))

series113.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ (* a t) c)
20.0ms
(* (/ 1 z) (/ b c))
34.0ms
(/ (* x y) (* z c))

simplify86.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0671714
13548560
25002554

prune442.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.3b
(* (/ 1 z) (/ b c))
6.5b
(/ a (/ c t))
9.9b
(/ (* x y) (* z c))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
81×add-sqr-sqrt
64×*-un-lft-identity
62×add-cube-cbrt
61×add-exp-log
51×add-cbrt-cube
21×prod-exp
19×div-exp
18×associate-*r*
17×cbrt-unprod
16×associate-*l*
15×cbrt-undiv
14×associate-/r*
9×div-inv
8×pow1
7×unswap-sqr
4×associate-/l* add-log-exp
2×rec-exp frac-2neg 1-exp associate-*r/ pow-prod-down clear-num *-commutative
1×frac-times associate-*l/ associate-/r/
Counts
4 → 176
Calls
4 calls:
14.0ms
(* 9.0 (/ (* x y) (* z c)))
14.0ms
(* (/ 1 z) (/ b c))
5.0ms
(/ a (/ c t))
4.0ms
(/ (* x y) (* z c))

series116.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(* (/ 1 z) (/ b c))
21.0ms
(/ a (/ c t))
29.0ms
(/ (* x y) (* z c))

simplify97.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08811081
14322918
25001912

prune615.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes923.0ms

Accuracy

28.7% (7.1b remaining)

Error of 7.1b against oracle of 0.1b and baseline of 10.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07249
17249

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s12799×body80valid