Details

Time bar (total: 8.9s)

sample34.0ms

Algorithm
intervals
Results
16.0ms336×body80valid

simplify68.0ms

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: 7.9b

localize10.0ms

Local error

Found 1 expressions with local error:

7.5b
(* (* y (- x z)) t)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
1×flip3-- associate-*l* *-commutative flip-- add-log-exp
Counts
1 → 20
Calls
1 calls:
51.0ms
(* (* y (- x z)) t)

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(* (* y (- x z)) t)

simplify632.0ms

Counts
23 → 23
Iterations

Useful iterations: done (631.0ms)

IterNodesCost
057235
1156226
2718184
done5001180

prune72.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.6b
(* y (* (- x z) t))

rewrite68.0ms

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:
34.0ms
(* (- x z) t)
32.0ms
(* y (* (- x z) t))

series98.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- x z) t)
60.0ms
(* y (* (- x z) t))

simplify626.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
077417
1188403
2785337
done5000337

prune190.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

6.6b
(* y (* (- x z) t))
6.9b
(cbrt (* y (* (- x z) t)))
6.9b
(cbrt (* y (* (- x z) t)))
6.9b
(cbrt (* y (* (- x z) t)))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/ associate-*l/
6×cbrt-div
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 53
Calls
4 calls:
41.0ms
(* y (* (- x z) t))
45.0ms
(cbrt (* y (* (- x z) t)))
54.0ms
(cbrt (* y (* (- x z) t)))
39.0ms
(cbrt (* y (* (- x z) t)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* y (* (- x z) t))
157.0ms
(cbrt (* y (* (- x z) t)))
139.0ms
(cbrt (* y (* (- x z) t)))
136.0ms
(cbrt (* y (* (- x z) t)))

simplify2.3s

Counts
65 → 65
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0101799
1248777
2794677
33966653
done5002620

prune313.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

6.6b
(* y (* (- x z) t))
6.9b
(cbrt (* y (* (- x z) t)))
6.9b
(cbrt (* y (* (- x z) t)))
9.0b
(cbrt (* (- x z) t))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*l/
6×cbrt-div associate-*r/
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 53
Calls
4 calls:
48.0ms
(* y (* (- x z) t))
53.0ms
(cbrt (* y (* (- x z) t)))
27.0ms
(cbrt (* y (* (- x z) t)))
8.0ms
(cbrt (* (- x z) t))

series624.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* y (* (- x z) t))
152.0ms
(cbrt (* y (* (- x z) t)))
197.0ms
(cbrt (* y (* (- x z) t)))
215.0ms
(cbrt (* (- x z) t))

simplify722.0ms

Counts
65 → 65
Iterations

Useful iterations: done (720.0ms)

IterNodesCost
0144801
1341780
21123685
done5000657

prune416.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes319.0ms

Accuracy

55.8% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 6.7b

bsearch103.0ms

Steps
ItersRangePoint
10
4.9334214555301785e-55
5.767286858687546e-43
1.9425146495850532e-44
8
-1.6220332931719092e+106
-7.802087806374319e+102
-7.898557300438487e+102

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01529
12223
done2223

end0.0ms

sample1.3s

Algorithm
intervals
Results
611.0ms10765×body80valid