Details

Time bar (total: 6.5s)

sample40.0ms

Algorithm
intervals
Results
19.0ms395×body80valid

simplify127.0ms

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: 21.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 4.0) t)
0.5b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
4.9b
(* (* (* z 4.0) t) a)
19.2b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite30.0ms

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
(* (* z 4.0) t)
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms
(* (* (* z 4.0) t) a)
11.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series335.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (* z 4.0) t)
82.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
29.0ms
(* (* (* z 4.0) t) a)
207.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify68.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0446680
12162574
25001574

prune262.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.8b
(/ b (* z c))
6.2b
(/ (* a t) c)
11.6b
(/ (* x y) (* z c))

rewrite29.0ms

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)
10.0ms
(/ (* x y) (* z c))

series114.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(/ b (* z c))
19.0ms
(/ (* a t) c)
29.0ms
(/ (* x y) (* z c))

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune300.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ b (* z c))
3.9b
(/ (* z c) y)
6.0b
(/ x (/ (* z c) y))
6.2b
(/ (* a t) c)

rewrite23.0ms

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:
5.0ms
(/ b (* z c))
5.0ms
(/ (* z c) y)
6.0ms
(/ x (/ (* z c) y))
4.0ms
(/ (* a t) c)

series97.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ b (* z c))
25.0ms
(/ (* z c) y)
32.0ms
(/ x (/ (* z c) y))
20.0ms
(/ (* a t) c)

simplify51.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0457568
12237494
25001494

prune604.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

3.2b
(/ (* (cbrt x) (cbrt x)) (/ z (* (cbrt y) (cbrt y))))
3.3b
(* (/ (* (cbrt x) (cbrt x)) (/ z (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ c (cbrt y))))
3.8b
(/ b (* z c))
6.2b
(/ (* a t) c)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
320×times-frac
210×add-sqr-sqrt
143×add-exp-log
138×add-cube-cbrt *-un-lft-identity
137×associate-*r*
135×cbrt-prod
82×add-cbrt-cube
65×cbrt-undiv div-exp
43×prod-exp cbrt-unprod
21×unswap-sqr
14×div-inv
12×associate-*l*
11×associate-/r*
6×pow1
5×associate-/l*
4×add-log-exp
3×frac-2neg clear-num associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 304
Calls
4 calls:
11.0ms
(/ (* (cbrt x) (cbrt x)) (/ z (* (cbrt y) (cbrt y))))
59.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ c (cbrt y))))
4.0ms
(/ b (* z c))
5.0ms
(/ (* a t) c)

series239.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(/ (* (cbrt x) (cbrt x)) (/ z (* (cbrt y) (cbrt y))))
65.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ c (cbrt y))))
22.0ms
(/ b (* z c))
20.0ms
(/ (* a t) c)

simplify79.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
020054617
150024239

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes829.0ms

Accuracy

17% (8.1b remaining)

Error of 8.1b against oracle of 0.1b and baseline of 9.8b

bsearch324.0ms

Steps
ItersRangePoint
9
1.311421214909125e+66
1.6754405239047569e+72
8.493160553946316e+67
8
-3.4078960558717417e-132
-4.9383804171248117e-135
-1.306433335712722e-133
7
-2.452572797379873e+179
-3.8574936995924836e+177
-1.7550152739824965e+179
8
-4.627078370804128e+259
-1.1701262027619879e+255
-1.2968195247031482e+259

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07085
17085

end0.0ms

sample1.1s

Algorithm
intervals
Results
663.0ms12931×body80valid