Details

Time bar (total: 4.7s)

sample40.0ms

Algorithm
intervals
Results
18.0ms384×body80valid

simplify134.0ms

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: 19.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.3b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.5b
(* (* (* z 4.0) t) a)
16.1b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite117.0ms

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)
8.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
20.0ms
(* (* (* z 4.0) t) a)
81.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series324.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* x 9.0) y)
78.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
28.0ms
(* (* (* z 4.0) t) a)
198.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify77.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0491675
12345574
25002574

prune272.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.6b
(/ (* a t) c)
4.8b
(/ b (* z c))
10.2b
(/ (* 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))

series112.0ms

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))

simplify62.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0420503
12365384
25002384

prune314.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ (* a t) c)
4.8b
(/ b (* z c))
5.0b
(/ (* z c) y)
7.2b
(/ x (/ (* 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))
3.0ms
(/ (* z c) y)
4.0ms
(/ x (/ (* z c) y))

series89.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))
21.0ms
(/ (* z c) y)
30.0ms
(/ x (/ (* z c) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0457568
12237494
25001494

prune424.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.5b
(* b (/ 1 (* z c)))
4.6b
(/ (* a t) c)
5.0b
(/ (* z c) y)
7.2b
(/ x (/ (* z c) y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log times-frac
32×add-cbrt-cube
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
13×div-exp prod-exp associate-/r*
11×cbrt-undiv
8×div-inv
7×associate-*r* cbrt-unprod
6×pow1
5×associate-/l*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×rec-exp 1-exp
1×associate-*r/ pow-prod-down associate-/r/ un-div-inv *-commutative unswap-sqr
Counts
4 → 122
Calls
4 calls:
12.0ms
(* b (/ 1 (* z c)))
3.0ms
(/ (* a t) c)
3.0ms
(/ (* z c) y)
4.0ms
(/ x (/ (* z c) y))

series90.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* b (/ 1 (* z c)))
18.0ms
(/ (* a t) c)
19.0ms
(/ (* z c) y)
31.0ms
(/ x (/ (* z c) y))

simplify72.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0548628
12756537
25003533

prune412.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes814.0ms

Accuracy

16.9% (9.1b remaining)

Error of 9.2b against oracle of 0.1b and baseline of 11.0b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07263
17263

end0.0ms

sample1.1s

Algorithm
intervals
Results
625.0ms12773×body80valid