Details

Time bar (total: 14.9s)

sample25.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5000
64079
5803
4229
384
234
114
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* (- 1.0 y) z))
2.2b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
5.0ms
(- 1.0 (* (- 1.0 y) z))
19.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- 1.0 (* (- 1.0 y) z))
64.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.6s

Counts
42 → 42
Iterations
IterNodes
done5000
32864
2590
1177
067

prune233.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.2b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
1.3b
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

rewrite72.0ms

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
9×*-un-lft-identity pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
50.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
19.0ms
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

series710.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(cbrt x)
225.0ms
(cbrt x)
77.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
184.0ms
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

simplify1.5s

Counts
94 → 94
Iterations
IterNodes
done5001
21910
1365
0123

prune507.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

3.2b
(* (* z x) (- y 1.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ add-cube-cbrt
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
33.0ms
(* (* z x) (- y 1.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* (* z x) (- y 1.0))

simplify1.0s

Counts
29 → 29
Iterations
IterNodes
done5001
21039
1185
065

prune186.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.4b
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.9b
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite403.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×frac-times add-exp-log
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
6.0ms
(cbrt (- y 1.0))
55.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
254.0ms
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
70.0ms
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series632.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (- y 1.0))
162.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
121.0ms
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
240.0ms
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify2.5s

Counts
171 → 171
Iterations
IterNodes
done5001
24107
1826
0289

prune752.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes467.0ms

Accuracy

92.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch2.0ms

simplify4.0ms

Iterations
IterNodes
done28
128
019

end0.0ms

sample970.0ms

Algorithm
intervals
Results
467.0ms10060×body80valid