Details

Time bar (total: 13.0s)

sample27.0ms

Algorithm
intervals
Results
11.0ms363×body80valid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1157
2347
3717
4977
51037
done1037

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z y))
6.1b
(* (- (* x y) (* z y)) t)

rewrite39.0ms

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))
30.0ms
(* (- (* x y) (* z y)) t)

series91.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* z y))
49.0ms
(* (- (* x y) (* z y)) t)

simplify2.1s

Counts
40 → 40
Iterations

Useful iterations: 3 (745.0ms)

IterNodesCost
060467
1157365
2581327
32722325
done5002325

prune120.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z y))
6.1b
(* t (- (* x y) (* z y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×sub-neg associate-*l*
2×distribute-rgt-in flip3-- distribute-rgt-out-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 38
Calls
2 calls:
11.0ms
(- (* x y) (* z y))
38.0ms
(* t (- (* x y) (* z y)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (* x y) (* z y))
75.0ms
(* t (- (* x y) (* z y)))

simplify1.5s

Counts
44 → 44
Iterations

Useful iterations: 3 (462.0ms)

IterNodesCost
062509
1161407
2529369
32491367
done5000367

prune90.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

5.3b
(* (* t y) (- x z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
46.0ms
(* (* t y) (- x z))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (* t y) (- x z))

simplify2.1s

Counts
29 → 29
Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
064293
1177282
2674236
32720236
done5000236

prune62.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
8.9b
(cbrt (- (* x y) (* z y)))
8.9b
(cbrt (- (* x y) (* z y)))
8.9b
(cbrt (* y (- x z)))

rewrite145.0ms

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:
121.0ms
(* (* (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)))
7.0ms
(cbrt (* y (- x z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
484.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
163.0ms
(cbrt (- (* x y) (* z y)))
129.0ms
(cbrt (- (* x y) (* z y)))
236.0ms
(cbrt (* y (- x z)))

simplify3.1s

Counts
99 → 99
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02093004
15522546
216072186
348712042
done50002032

prune864.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes312.0ms

Accuracy

92.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.6b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02579
13279
done3279

end0.0ms

sample1.1s

Algorithm
intervals
Results
466.0ms10626×body80valid