Details

Time bar (total: 11.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms352×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1157
2347
3647
4847
5937
done937

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z y))
6.4b
(* (- (* x y) (* z y)) t)

rewrite16.0ms

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:
3.0ms
(- (* x y) (* z y))
12.0ms
(* (- (* x y) (* z y)) t)

series76.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (* x y) (* z y))
43.0ms
(* (- (* x y) (* z y)) t)

simplify1.7s

Counts
40 → 40
Iterations

Useful iterations: 3 (737.0ms)

IterNodesCost
060467
1157365
2580327
32759325
done5000325

prune102.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.2b
(* y (* (- x z) t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
14.0ms
(* (- x z) t)
13.0ms
(* y (* (- x z) t))

series65.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- x z) t)
38.0ms
(* y (* (- x z) t))

simplify2.3s

Counts
48 → 48
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
077417
1183403
2662337
33172337
done5001337

prune105.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
6.2b
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
32×associate-*l/
30×flip3-- flip--
28×frac-times
22×pow1 add-exp-log
16×add-cbrt-cube
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative
Counts
4 → 98
Calls
4 calls:
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
4.0ms
(cbrt (- x z))
124.0ms
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

series917.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- x z))
578.0ms
(cbrt (- x z))
153.0ms
(cbrt (- x z))
39.0ms
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: 2 (178.0ms)

IterNodesCost
01921934
15261899
216321545
done50001545

prune307.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
7.4b
(cbrt (- (* x y) (* z y)))
7.4b
(cbrt (- (* x y) (* z y)))
7.4b
(cbrt (* y (- x z)))

rewrite60.0ms

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:
48.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
2.0ms
(cbrt (- (* x y) (* z y)))
2.0ms
(cbrt (- (* x y) (* z y)))
3.0ms
(cbrt (* y (- x z)))

series746.0ms

Counts
4 → 12
Calls
4 calls:
360.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
113.0ms
(cbrt (- (* x y) (* z y)))
111.0ms
(cbrt (- (* x y) (* z y)))
162.0ms
(cbrt (* y (- x z)))

simplify1.9s

Counts
99 → 99
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
02093004
15532546
215682186
348432042
done50002042

prune329.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

regimes442.0ms

Accuracy

94.2% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.3b

bsearch1.0ms

simplify13.0ms

Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
02379
13173
23465
34059
44358
54658
64958
75058
done5058

end0.0ms

sample530.0ms

Algorithm
intervals
Results
271.0ms10683×body80valid