Details

Time bar (total: 6.3s)

sample60.0ms

Algorithm
intervals
Results
39.0ms393×body80valid

simplify126.0ms

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: 19.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.2b
(* (* x 9.0) y)
5.4b
(* (* (* z 4.0) t) a)
16.9b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite123.0ms

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))
6.0ms
(* (* x 9.0) y)
22.0ms
(* (* (* z 4.0) t) a)
86.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series318.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
19.0ms
(* (* x 9.0) y)
30.0ms
(* (* (* z 4.0) t) a)
191.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify71.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune262.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.2b
(/ b (* z c))
6.0b
(/ (* a t) c)
8.3b
(/ (* x y) (* z c))

rewrite25.0ms

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
(/ b (* z c))
3.0ms
(/ (* a t) c)
4.0ms
(/ (* x y) (* z c))

series108.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(/ b (* z c))
22.0ms
(/ (* a t) c)
27.0ms
(/ (* x y) (* z c))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune295.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
3.7b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.2b
(/ b (* z c))
8.3b
(/ (* x y) (* z c))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×div-inv associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r*
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt c)
24.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
3.0ms
(/ b (* z c))
7.0ms
(/ (* x y) (* z c))

series270.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt c)
49.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
19.0ms
(/ b (* z c))
27.0ms
(/ (* x y) (* z c))

simplify85.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0635852
13415669
25002634

prune484.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
3.7b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.3b
(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
8.3b
(/ (* x y) (* z c))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
58×add-exp-log
57×times-frac
44×associate-*r* add-cbrt-cube
35×add-cube-cbrt *-un-lft-identity
25×cbrt-prod
20×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
14×associate-*l*
12×unswap-sqr
8×pow1
5×div-inv
4×add-log-exp
2×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
1×frac-2neg pow1/3 clear-num associate-/r* associate-/l*
Counts
4 → 150
Calls
4 calls:
0.0ms
(cbrt b)
25.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
26.0ms
(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
4.0ms
(/ (* x y) (* z c))

series305.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt b)
46.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
47.0ms
(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
27.0ms
(/ (* x y) (* z c))

simplify35.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09501371
150011123

prune719.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.2b

regimes965.0ms

Accuracy

17.7% (9.6b remaining)

Error of 10.0b against oracle of 0.4b and baseline of 12.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07765
17765

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s13002×body80valid