Details

Time bar (total: 12.4s)

sample34.0ms

Algorithm
intervals
Results
13.0ms344×body80valid

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1157
2347
3717
41007
51067
done1067

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z y))
5.5b
(* (- (* x y) (* z y)) t)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
8.0ms
(- (* x y) (* z y))
27.0ms
(* (- (* x y) (* z y)) t)

series103.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (* x y) (* z y))
54.0ms
(* (- (* x y) (* z y)) t)

simplify521.0ms

Counts
40 → 40
Iterations

Useful iterations: done (519.0ms)

IterNodesCost
060467
1162365
2669329
done5001325

prune138.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
7.7b
(cbrt (- (* x y) (* z y)))
7.7b
(cbrt (- (* x y) (* z y)))
7.7b
(cbrt (* y (- x z)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
46×associate-*r/
30×flip3-- flip--
28×frac-times
16×pow1 add-exp-log
14×associate-*l/
10×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
2×distribute-rgt-out--
1×associate-*r* associate-*l* *-commutative
Counts
4 → 87
Calls
4 calls:
122.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
6.0ms
(cbrt (- (* x y) (* z y)))
6.0ms
(cbrt (- (* x y) (* z y)))
13.0ms
(cbrt (* y (- x z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
526.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
185.0ms
(cbrt (- (* x y) (* z y)))
184.0ms
(cbrt (- (* x y) (* z y)))
190.0ms
(cbrt (* y (- x z)))

simplify1.3s

Counts
99 → 99
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02093004
15672546
218472186
done50002042

prune552.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* y (- x z))) (* t (cbrt (* y (- x z)))))
7.7b
(cbrt (* y (- x z)))
7.7b
(cbrt (* y (- x z)))
7.7b
(cbrt (* y (- x z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*r/
18×cbrt-div
9×pow1 add-exp-log flip3-- flip--
6×add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×cbrt-prod frac-times associate-*l* add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative
Counts
4 → 60
Calls
4 calls:
48.0ms
(* (cbrt (* y (- x z))) (* t (cbrt (* y (- x z)))))
8.0ms
(cbrt (* y (- x z)))
12.0ms
(cbrt (* y (- x z)))
12.0ms
(cbrt (* y (- x z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
655.0ms
(* (cbrt (* y (- x z))) (* t (cbrt (* y (- x z)))))
192.0ms
(cbrt (* y (- x z)))
233.0ms
(cbrt (* y (- x z)))
203.0ms
(cbrt (* y (- x z)))

simplify1.5s

Counts
72 → 72
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01211092
12961061
2777967
32938926
done5001884

prune282.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.8b
(* (* (* (cbrt t) (cbrt t)) (* y (- x z))) (cbrt t))
5.0b
(* (* (cbrt t) (cbrt t)) (* y (- x z)))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r/
7×associate-*r*
4×sub-neg add-log-exp
2×flip3-- pow1/3 associate-*l* associate-*l/ *-commutative flip--
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
229.0ms
(* (* (* (cbrt t) (cbrt t)) (* y (- x z))) (cbrt t))
85.0ms
(* (* (cbrt t) (cbrt t)) (* y (- x z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
298.0ms
(cbrt t)
297.0ms
(cbrt t)
104.0ms
(* (* (* (cbrt t) (cbrt t)) (* y (- x z))) (cbrt t))
403.0ms
(* (* (cbrt t) (cbrt t)) (* y (- x z)))

simplify1.8s

Counts
98 → 98
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01311334
14041282
22250931
done5000797

prune199.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes503.0ms

Accuracy

82.4% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 7.3b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01743
12537
done2537

end0.0ms

sample1.2s

Algorithm
intervals
Results
563.0ms10733×body80valid