Details

Time bar (total: 8.2s)

sample69.0ms

Algorithm
intervals
Results
33.0ms514×body80valid

simplify142.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
06615
120414
263114
3146814
4246414
5390914
6500114

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.3b
(* (* j 27.0) k)
2.5b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.0b
(* (* (* x 18.0) y) z)

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (* x 18.0) y)
6.0ms
(* (* j 27.0) k)
82.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
21.0ms
(* (* (* x 18.0) y) z)

series177.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* x 18.0) y)
17.0ms
(* (* j 27.0) k)
112.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms
(* (* (* x 18.0) y) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0406472
12141393
25001393

prune333.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.3b
(* j (* 27.0 k))
2.5b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.0b
(* (* (* x 18.0) y) z)

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
7.0ms
(* (* x 18.0) y)
6.0ms
(* j (* 27.0 k))
82.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
21.0ms
(* (* (* x 18.0) y) z)

series175.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* x 18.0) y)
17.0ms
(* j (* 27.0 k))
109.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms
(* (* (* x 18.0) y) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0398471
12030392
25001392

prune341.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.4b
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
2.5b
(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))
2.8b
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

rewrite563.0ms

Algorithm
rewrite-expression-head
Rules
56×pow1 add-exp-log
38×pow-prod-down prod-exp cbrt-unprod
37×add-cbrt-cube
11×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×associate-*l*
4×add-log-exp
3×*-commutative
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow1/3 flip-- unswap-sqr
Counts
4 → 99
Calls
4 calls:
1.0ms
(cbrt z)
107.0ms
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
424.0ms
(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))
28.0ms
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

series504.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt z)
50.0ms
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
147.0ms
(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))
121.0ms
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
04701050
12376723
25001665

prune399.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt z))
1.4b
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))
2.5b
(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* a 4.0)))
2.8b
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

rewrite803.0ms

Algorithm
rewrite-expression-head
Rules
135×pow1 add-exp-log
103×pow-prod-down prod-exp cbrt-unprod
83×add-cbrt-cube
10×add-sqr-sqrt
9×cbrt-prod
8×add-cube-cbrt *-un-lft-identity
5×associate-*r* associate-*l*
4×add-log-exp
3×*-commutative
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow1/3 flip-- unswap-sqr
Counts
4 → 139
Calls
4 calls:
1.0ms
(cbrt (cbrt z))
151.0ms
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))
613.0ms
(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* a 4.0)))
30.0ms
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt (cbrt z))
56.0ms
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))
156.0ms
(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* a 4.0)))
123.0ms
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06602431
130441640
250021270

prune412.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.0b

regimes913.0ms

Accuracy

55.1% (1.6b remaining)

Error of 3.7b against oracle of 2.0b and baseline of 5.7b

bsearch192.0ms

Steps
ItersRangePoint
6
1.6705817334832023e-40
2.5330124718687662e-39
1.1271097964331716e-39
5
-5.5985807885592334e-05
-1.4105975399885827e-05
-5.503897878346657e-05

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08752
19352
29452
39452

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s16184×body80valid