Details

Time bar (total: 4.7s)

sample68.0ms

Algorithm
intervals
Results
31.0ms408×body80valid

simplify134.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.8b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.8b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.8b
(* (* (* z 4.0) t) a)
21.2b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite29.0ms

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

series83.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 9.0) y)
22.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
51.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify73.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune186.0ms

Filtered
57 candidates to 89 candidates (-56.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New751489
Fresh000
Picked101
Done000
Total761490

Merged error: 7.8b

Counts
90 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.2b
(/ b (* z c))
5.6b
(/ (* a t) c)
11.2b
(/ (* 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:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
7.0ms
(/ (* x y) (* z c))

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
7.0ms
(/ (* x y) (* z c))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0420503
12365384
25002384

prune159.0ms

Filtered
62 candidates to 104 candidates (-67.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh8513
Picked101
Done000
Total10513118

Merged error: 0.3b

Counts
118 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.4b
(/ a (/ c t))
5.2b
(/ b (* z c))
11.2b
(/ (* x y) (* z c))

rewrite28.0ms

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:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(/ a (/ c t))
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series30.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ a (/ c t))
5.0ms
(/ b (* z c))
10.0ms
(/ (* x y) (* z c))

simplify75.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0634870
13152746
25001746

prune181.0ms

Filtered
104 candidates to 153 candidates (-47.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1521153
Fresh21012
Picked101
Done000
Total15511166

Merged error: 0.0b

Counts
166 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (* (/ x z) (/ y c)))
4.4b
(/ a (/ c t))
5.2b
(/ b (* z c))
9.3b
(* (/ x z) (/ y c))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
75×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
16×associate-*l*
14×associate-*r* prod-exp associate-/r* cbrt-unprod
13×cbrt-undiv div-exp
11×pow1
8×div-inv
6×associate-/l*
5×associate-*r/
4×pow-prod-down add-log-exp unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
1×associate-/r/
Counts
4 → 168
Calls
4 calls:
8.0ms
(* 9.0 (* (/ x z) (/ y c)))
5.0ms
(/ a (/ c t))
6.0ms
(/ b (* z c))
10.0ms
(* (/ x z) (/ y c))

series27.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 9.0 (* (/ x z) (/ y c)))
5.0ms
(/ a (/ c t))
5.0ms
(/ b (* z c))
8.0ms
(* (/ x z) (/ y c))

simplify77.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
08131005
13652881
25001881

prune161.0ms

Filtered
131 candidates to 180 candidates (-37.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1773180
Fresh2810
Picked101
Done000
Total18011191

Merged error: 0.0b

Counts
191 → 11

regimes1.4s

Accuracy

24.5% (7.6b remaining)

Error of 7.7b against oracle of 0.1b and baseline of 10.2b

bsearch147.0ms

Steps
ItersRangePoint
9
1.2467884381436418e-63
9.698427478848867e-56
5.90818293468696e-62
9
-5.6871656085396654e+63
-3.4373556241998617e+56
-3.483284063897087e+56
8
-2.5038490654572786e+229
-3.632451889716535e+226
-4.744595811845395e+228
6
-4.366761416358808e+271
-8.084736286973968e+270
-2.39742052392499e+271

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms

sample1.6s

Algorithm
intervals
Results
725.0ms12781×body80valid

Profiling

Loading profile data...