Details

Time bar (total: 9.7s)

sample52.0ms

Algorithm
intervals
Results
20.0ms336×body80valid

simplify69.0ms

Counts
1 → 1
Iterations
IterNodes
done105
5105
499
371
234
115
08

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b
(- (* x y) (* z y))
5.7b
(* (- (* x y) (* z y)) t)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
associate-*r*
flip3-- distribute-rgt-out-- associate-*l/ flip--
sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
6.0ms
(- (* x y) (* z y))
22.0ms
(* (- (* x y) (* z y)) t)

series125.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x y) (* z y))
81.0ms
(* (- (* x y) (* z y)) t)

simplify560.0ms

Counts
40 → 40
Iterations
IterNodes
done5000
2677
1162
060

prune220.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

5.7b
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
8.3b
(cbrt (* y (- x z)))
8.3b
(cbrt (* y (- x z)))
8.3b
(cbrt (* y (- x z)))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r/
60×cbrt-div
40×associate-*l/
30×flip3-- flip--
28×frac-times
13×pow1 add-exp-log
add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
add-log-exp
cbrt-prod pow1/3 associate-*r*
associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
210.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
9.0ms
(cbrt (* y (- x z)))
6.0ms
(cbrt (* y (- x z)))
6.0ms
(cbrt (* y (- x z)))

series753.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
225.0ms
(cbrt (* y (- x z)))
234.0ms
(cbrt (* y (- x z)))
210.0ms
(cbrt (* y (- x z)))

simplify814.0ms

Counts
92 → 92
Iterations
IterNodes
done5000
21487
1407
0163

prune607.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
1.1b
(* (* (cbrt t) (* (cbrt t) (* (- x z) y))) (cbrt t))
2.1b
(* (cbrt t) (* (cbrt t) (* (- x z) y)))
3.0b
(* (cbrt t) (* (- x z) y))

rewrite429.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
19×pow-prod-down prod-exp cbrt-unprod
16×add-cbrt-cube
13×associate-*l*
12×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×associate-*r/
associate-*r* associate-*l/
add-log-exp
flip3-- *-commutative flip--
pow1/3
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt t)
292.0ms
(* (* (cbrt t) (* (cbrt t) (* (- x z) y))) (cbrt t))
92.0ms
(* (cbrt t) (* (cbrt t) (* (- x z) y)))
38.0ms
(* (cbrt t) (* (- x z) y))

series1.0s

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt t)
100.0ms
(* (* (cbrt t) (* (cbrt t) (* (- x z) y))) (cbrt t))
377.0ms
(* (cbrt t) (* (cbrt t) (* (- x z) y)))
287.0ms
(* (cbrt t) (* (- x z) y))

simplify1.3s

Counts
101 → 101
Iterations
IterNodes
done5002
22087
1404
0140

prune535.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

8.0b
(* (* t y) (- x z))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
associate-*r*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ add-cube-cbrt
flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
43.0ms
(* (* t y) (- x z))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* (* t y) (- x z))

simplify502.0ms

Counts
29 → 29
Iterations
IterNodes
done5000
21048
1185
064

prune130.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes808.0ms

Accuracy

93.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.9b

bsearch2.0ms

simplify6.0ms

Iterations
IterNodes
done36
136
027

end0.0ms

sample1.2s

Algorithm
intervals
Results
554.0ms10662×body80valid