Details

Time bar (total: 4.9s)

sample61.0ms

Algorithm
intervals
Results
25.0ms397×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: 17.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.2b
(* (* z 4.0) t)
4.1b
(* (* (* z 4.0) t) a)
15.1b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
23×pow1
13×*-un-lft-identity prod-exp cbrt-unprod
12×pow-prod-down
9×add-sqr-sqrt add-cube-cbrt associate-*r*
4×times-frac associate-/l* add-log-exp
3×associate-*l* *-commutative
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out
1×associate-+l- frac-2neg flip3-+ div-sub clear-num associate-/r* flip-+ div-inv
Counts
4 → 83
Calls
4 calls:
18.0ms
(* (* x 9.0) y)
18.0ms
(* (* z 4.0) t)
56.0ms
(* (* (* z 4.0) t) a)
195.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series245.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (* x 9.0) y)
16.0ms
(* (* z 4.0) t)
29.0ms
(* (* (* z 4.0) t) a)
183.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify61.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0465619
12261504
25001504

prune291.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.4b
(/ b (* z c))
5.4b
(/ (* a t) c)
9.3b
(/ (* x y) (* z c))

rewrite64.0ms

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:
27.0ms
(* 9.0 (/ (* x y) (* z c)))
8.0ms
(/ b (* z c))
13.0ms
(/ (* a t) c)
13.0ms
(/ (* x y) (* z c))

series103.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 9.0 (/ (* x y) (* z c)))
18.0ms
(/ b (* z c))
22.0ms
(/ (* a t) c)
26.0ms
(/ (* x y) (* z c))

simplify56.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune284.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.4b
(/ b (* z c))
4.9b
(* a (/ t c))
9.3b
(/ (* x y) (* z c))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
18×associate-*r*
16×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
15×times-frac
11×cbrt-undiv div-exp
8×pow1
6×associate-*l*
4×div-inv associate-/l* add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 103
Calls
4 calls:
30.0ms
(* 9.0 (/ (* x y) (* z c)))
8.0ms
(/ b (* z c))
14.0ms
(* a (/ t c))
13.0ms
(/ (* x y) (* z c))

series104.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ b (* z c))
18.0ms
(* a (/ t c))
26.0ms
(/ (* x y) (* z c))

simplify65.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0475551
12583432
25003432

prune324.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.4b
(/ b (* z c))
5.0b
(/ a (/ c t))
9.3b
(/ (* x y) (* z c))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
31.0ms
(* 9.0 (/ (* x y) (* z c)))
8.0ms
(/ b (* z c))
9.0ms
(/ a (/ c t))
14.0ms
(/ (* x y) (* z c))

series106.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 9.0 (/ (* x y) (* z c)))
18.0ms
(/ b (* z c))
19.0ms
(/ a (/ c t))
26.0ms
(/ (* x y) (* z c))

simplify74.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0634870
13152746
25001746

prune459.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes644.0ms

Accuracy

10.6% (9.5b remaining)

Error of 9.8b against oracle of 0.3b and baseline of 10.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06259
16259

end0.0ms

sample1.3s

Algorithm
intervals
Results
550.0ms12796×body80valid