Details

Time bar (total: 17.4s)

sample69.0ms

Algorithm
intervals
Results
29.0ms382×body80valid

simplify109.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
01315
12615
25613
39313
410813
510913
done10913

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ x (* y z))
4.7b
(* (* a z) b)

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-+l+
1×associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
47.0ms
(+ (+ x (* y z)) (* t a))
129.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(+ x (* y z))
19.0ms
(* (* a z) b)

series297.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(+ (+ x (* y z)) (* t a))
147.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms
(+ x (* y z))
46.0ms
(* (* a z) b)

simplify1.2s

Counts
68 → 68
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0115854
1330787
21415703
done5000695

prune263.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (* a z) b)
13.3b
(cbrt (* (* a z) b))
13.3b
(cbrt (* (* a z) b))
13.3b
(cbrt (* (* a z) b))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 45
Calls
4 calls:
21.0ms
(* (* a z) b)
13.0ms
(cbrt (* (* a z) b))
13.0ms
(cbrt (* (* a z) b))
27.0ms
(cbrt (* (* a z) b))

series463.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* a z) b)
131.0ms
(cbrt (* (* a z) b))
151.0ms
(cbrt (* (* a z) b))
140.0ms
(cbrt (* (* a z) b))

simplify6.7s

Counts
57 → 57
Iterations

Useful iterations: 4 (5.0s)

IterNodesCost
076525
1179505
2621427
32079409
44954379
done5001379

prune281.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (* y z))
0.0b
(+ (* a (+ t (* z b))) (+ x (* y z)))
2.7b
(* a (+ t (* z b)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
8×add-sqr-sqrt flip3-+ flip-+
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r/ add-cbrt-cube
5×sum-log
4×frac-add
3×+-commutative associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
9.0ms
(+ t (* z b))
9.0ms
(+ x (* y z))
32.0ms
(+ (* a (+ t (* z b))) (+ x (* y z)))
25.0ms
(* a (+ t (* z b)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ t (* z b))
39.0ms
(+ x (* y z))
109.0ms
(+ (* a (+ t (* z b))) (+ x (* y z)))
78.0ms
(* a (+ t (* z b)))

simplify774.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (234.0ms)

IterNodesCost
01231096
14021010
21651960
done5000960

prune307.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

2.7b
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
3.1b
(cbrt (+ t (* z b)))
3.1b
(cbrt (+ t (* z b)))
3.1b
(cbrt (+ t (* z b)))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 86
Calls
4 calls:
195.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
5.0ms
(cbrt (+ t (* z b)))
5.0ms
(cbrt (+ t (* z b)))
5.0ms
(cbrt (+ t (* z b)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
149.0ms
(cbrt (+ t (* z b)))
137.0ms
(cbrt (+ t (* z b)))
162.0ms
(cbrt (+ t (* z b)))

simplify2.6s

Counts
98 → 98
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01682113
14162068
211561640
329721532
done50001443

prune413.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

59.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.3b

bsearch100.0ms

Steps
ItersRangePoint
7
1.1846653170446963e-234
1.9742642367161378e-233
1.6696320628942084e-233
8
-1.8091726529742054e-83
-7.173586699444711e-88
-4.035514617533359e-85

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02351
13737
done3737

end0.0ms

sample1.9s

Algorithm
intervals
Results
887.0ms11917×body80valid