Details

Time bar (total: 5.3s)

sample61.0ms

Algorithm
intervals
Results
38.0ms404×body80valid

simplify137.0ms

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: 20.7b

localize14.0ms

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)
5.5b
(* (* (* z 4.0) t) a)
17.2b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite116.0ms

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:
8.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* x 9.0) y)
20.0ms
(* (* (* z 4.0) t) a)
80.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series314.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
19.0ms
(* (* x 9.0) y)
27.0ms
(* (* (* z 4.0) t) a)
192.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify70.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune248.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.6b
(/ (* a t) c)
4.0b
(/ b (* z c))
10.6b
(/ (* x y) (* z c))

rewrite26.0ms

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:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
4.0ms
(/ (* x y) (* z c))

series112.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ (* a t) c)
21.0ms
(/ b (* z c))
29.0ms
(/ (* x y) (* z c))

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0420503
12365384
25002384

prune271.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.6b
(/ (* a t) c)
4.0b
(/ b (* z c))
5.8b
(/ x (/ (* z c) y))
6.6b
(/ (* z c) y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
4 → 111
Calls
4 calls:
3.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
4.0ms
(/ x (/ (* z c) y))
3.0ms
(/ (* z c) y)

series94.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* a t) c)
25.0ms
(/ b (* z c))
31.0ms
(/ x (/ (* z c) y))
19.0ms
(/ (* z c) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0457568
12237494
25001494

prune412.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
3.6b
(/ (* a t) c)
5.8b
(/ x (/ (* z c) y))
6.6b
(/ (* z c) y)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
67×times-frac
55×add-sqr-sqrt
44×add-exp-log
39×add-cube-cbrt *-un-lft-identity
37×add-cbrt-cube
22×associate-*r*
16×cbrt-undiv div-exp
13×associate-/r*
11×cbrt-prod prod-exp cbrt-unprod
9×div-inv
7×associate-*l*
6×pow1 unswap-sqr
5×associate-/l*
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 149
Calls
4 calls:
22.0ms
(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
3.0ms
(/ (* a t) c)
4.0ms
(/ x (/ (* z c) y))
3.0ms
(/ (* z c) y)

series118.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
20.0ms
(/ (* a t) c)
31.0ms
(/ x (/ (* z c) y))
23.0ms
(/ (* z c) y)

simplify84.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07731087
13961940
25001897

prune586.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes758.0ms

Accuracy

14% (9.7b remaining)

Error of 9.7b against oracle of 0.1b and baseline of 11.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06363
16363

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s12596×body80valid