Details

Time bar (total: 12.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms310×body80valid

simplify1.9s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) z)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
add-cube-cbrt associate-*r* associate-*l* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip--
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
7.0ms
(+ x (* (* (- y x) 6.0) z))
22.0ms
(* (- y x) 6.0)
44.0ms
(* (* (- y x) 6.0) z)

series146.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ x (* (* (- y x) 6.0) z))
32.0ms
(* (- y x) 6.0)
47.0ms
(* (* (- y x) 6.0) z)

simplify614.0ms

Counts
62 → 62

prune114.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.2b
(* (- y x) (* 6.0 z))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity associate-*l*
add-log-exp
add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
associate-*l/
+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
13.0ms
(+ x (* (- y x) (* 6.0 z)))
32.0ms
(* (- y x) (* 6.0 z))

series99.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ x (* (- y x) (* 6.0 z)))
41.0ms
(* (- y x) (* 6.0 z))

simplify1.7s

Counts
39 → 39

prune113.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
3.6b
(cbrt (* (- y x) (* 6.0 z)))
3.6b
(cbrt (* (- y x) (* 6.0 z)))
3.6b
(cbrt (* (- y x) (* 6.0 z)))

rewrite465.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
associate-*r/ pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
376.0ms
(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
25.0ms
(cbrt (* (- y x) (* 6.0 z)))
34.0ms
(cbrt (* (- y x) (* 6.0 z)))
27.0ms
(cbrt (* (- y x) (* 6.0 z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
343.0ms
(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
246.0ms
(cbrt (* (- y x) (* 6.0 z)))
224.0ms
(cbrt (* (- y x) (* 6.0 z)))
210.0ms
(cbrt (* (- y x) (* 6.0 z)))

simplify605.0ms

Counts
84 → 84

prune397.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.6b
(cbrt (* 6.0 z))
0.6b
(cbrt (* 6.0 z))
3.6b
(cbrt (* (- y x) (* 6.0 z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube add-log-exp
flip3-- associate-*l/ flip--
distribute-lft-out-- difference-of-squares
Counts
4 → 44
Calls
4 calls:
7.0ms
(cbrt (- y x))
5.0ms
(cbrt (* 6.0 z))
5.0ms
(cbrt (* 6.0 z))
33.0ms
(cbrt (* (- y x) (* 6.0 z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt (- y x))
297.0ms
(cbrt (* 6.0 z))
311.0ms
(cbrt (* 6.0 z))
261.0ms
(cbrt (* (- y x) (* 6.0 z)))

simplify877.0ms

Counts
56 → 56

prune312.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.9s

end0.0ms

sample865.0ms

Algorithm
intervals
Results
393.0ms10117×body80valid