Details

Time bar (total: 8.6s)

sample22.0ms

Algorithm
intervals
Results
11.0ms343×body80valid

simplify44.0ms

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: 6.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z y))
5.7b
(* (- (* x y) (* z y)) t)

rewrite13.0ms

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:
2.0ms
(- (* x y) (* z y))
9.0ms
(* (- (* x y) (* z y)) t)

series79.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (* x y) (* z y))
43.0ms
(* (- (* x y) (* z y)) t)

simplify1.5s

Counts
40 → 40
Iterations

Useful iterations: 3 (484.0ms)

IterNodesCost
060467
1157365
2580327
32762325
done5000325

prune103.0ms

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

rewrite26.0ms

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:
10.0ms
(* (- x z) t)
15.0ms
(* y (* (- x z) t))

series68.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- x z) t)
38.0ms
(* y (* (- x z) t))

simplify1.7s

Counts
48 → 48
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
077417
1183403
2662337
33170337
done5000337

prune104.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

5.7b
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
7.3b
(cbrt (* y (- x z)))
7.3b
(cbrt (* y (- x z)))
7.3b
(cbrt (* y (- x z)))

rewrite94.0ms

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
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
76.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
3.0ms
(cbrt (* y (- x z)))
6.0ms
(cbrt (* y (- x z)))
3.0ms
(cbrt (* y (- x z)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
162.0ms
(cbrt (* y (- x z)))
159.0ms
(cbrt (* y (- x z)))
158.0ms
(cbrt (* y (- x z)))

simplify1.4s

Counts
92 → 92
Iterations

Useful iterations: 3 (675.0ms)

IterNodesCost
01631864
13721828
210641413
335351311
done50001311

prune278.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

5.5b
(cbrt (* t (* y (- x z))))
5.7b
(* t (* y (- x z)))
5.7b
(* t (* y (- x z)))
5.7b
(* t (* y (- x z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
24×distribute-rgt-in distribute-lft-in
19×pow1 add-exp-log add-cbrt-cube
16×associate-*r/
12×sub-neg
9×associate-*l* pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×flip3-- flip-- add-log-exp
3×associate-*r* *-commutative
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 95
Calls
4 calls:
9.0ms
(cbrt (* t (* y (- x z))))
12.0ms
(* t (* y (- x z)))
13.0ms
(* t (* y (- x z)))
12.0ms
(* t (* y (- x z)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (* t (* y (- x z))))
46.0ms
(* t (* y (- x z)))
41.0ms
(* t (* y (- x z)))
46.0ms
(* t (* y (- x z)))

simplify992.0ms

Counts
107 → 107
Iterations

Useful iterations: 3 (270.0ms)

IterNodesCost
01121143
12661117
2761961
32787951
done5000951

prune232.0ms

Pruning

15 alts after pruning (11 fresh and 4 done)

Merged error: 0.0b

regimes411.0ms

Accuracy

96.6% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.8b

bsearch1.0ms

simplify11.0ms

Iterations

Useful iterations: 4 (5.0ms)

IterNodesCost
02379
13173
23465
34059
44358
54658
64958
75058
done5058

end0.0ms

sample544.0ms

Algorithm
intervals
Results
276.0ms10766×body80valid