Details

Time bar (total: 4.4s)

sample22.0ms

Algorithm
intervals
Results
14.0ms294×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
2.1b
(* x (- 1.0 (* y z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
sub-neg associate-*r* associate-*l*
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
2.0ms
(- 1.0 (* y z))
7.0ms
(* x (- 1.0 (* y z)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(- 1.0 (* y z))
49.0ms
(* x (- 1.0 (* y z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0143187
1560166
22091166
35003166

prune88.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.1b
(cbrt (- 1.0 (* y z)))
2.1b
(cbrt (- 1.0 (* y z)))
2.1b
(cbrt (- 1.0 (* y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
add-cube-cbrt *-un-lft-identity
add-cbrt-cube
frac-times add-log-exp
pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*l/
associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
19.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
1.0ms
(cbrt (- 1.0 (* y z)))
1.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series799.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
219.0ms
(cbrt (- 1.0 (* y z)))
231.0ms
(cbrt (- 1.0 (* y z)))
257.0ms
(cbrt (- 1.0 (* y z)))

simplify106.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0340830
11061774
24437756
35002756

prune266.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (cbrt x) (- 1.0 (* y z)))
1.5b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
associate-*l*
sub-neg associate-*r/
associate-*r* add-log-exp
flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(cbrt x)
8.0ms
(* (cbrt x) (- 1.0 (* y z)))
21.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series609.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
180.0ms
(cbrt x)
185.0ms
(* (cbrt x) (- 1.0 (* y z)))
70.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0298655
11298490
25001423

prune189.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 2.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (cbrt x) (- 1.0 (* y z)))
1.5b
(* (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))) (* (cbrt x) (- 1.0 (* y z))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
38×pow1 add-exp-log
25×pow-prod-down prod-exp cbrt-unprod
19×add-cbrt-cube
13×add-sqr-sqrt
10×cbrt-prod distribute-rgt-in distribute-lft-in
add-cube-cbrt *-un-lft-identity
associate-*l*
sub-neg associate-*r/
associate-*r* add-log-exp
flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 94
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
8.0ms
(* (cbrt x) (- 1.0 (* y z)))
188.0ms
(* (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))) (* (cbrt x) (- 1.0 (* y z))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
179.0ms
(cbrt x)
181.0ms
(* (cbrt x) (- 1.0 (* y z)))
75.0ms
(* (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))) (* (cbrt x) (- 1.0 (* y z))))

simplify71.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
04011241
11903794
25003580

prune191.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 2.0b

regimes285.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample691.0ms

Algorithm
intervals
Results
489.0ms9546×body80valid