Details

Time bar (total: 7.4s)

sample31.0ms

Algorithm
intervals
Results
14.0ms389×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01315
12615
25413
38313
48813
59013
done9013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* a (+ t (* z b))))
2.3b
(* a (+ t (* z b)))

rewrite22.0ms

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-+r+ distribute-lft-in
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
2.0ms
(+ t (* z b))
2.0ms
(+ x (* y z))
10.0ms
(+ (+ x (* y z)) (* a (+ t (* z b))))
7.0ms
(* a (+ t (* z b)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ t (* z b))
26.0ms
(+ x (* y z))
78.0ms
(+ (+ x (* y z)) (* a (+ t (* z b))))
56.0ms
(* a (+ t (* z b)))

simplify503.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
01221090
13741006
21469952
done5000952

prune215.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.3b
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
2.7b
(cbrt (+ t (* z b)))
2.7b
(cbrt (+ t (* z b)))
2.7b
(cbrt (+ t (* z b)))

rewrite86.0ms

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:
77.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
1.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series377.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
108.0ms
(cbrt (+ t (* z b)))
108.0ms
(cbrt (+ t (* z b)))
106.0ms
(cbrt (+ t (* z b)))

simplify1.2s

Counts
98 → 98
Iterations

Useful iterations: 3 (475.0ms)

IterNodesCost
01682113
14142068
210751640
331501532
done50011532

prune299.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
2.7b
(cbrt (+ t (* z b)))
2.7b
(cbrt (+ t (* z b)))
2.7b
(cbrt (+ t (* z b)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
14.0ms
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
1.0ms
(cbrt (+ t (* z b)))
1.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
104.0ms
(cbrt (+ t (* z b)))
108.0ms
(cbrt (+ t (* z b)))
106.0ms
(cbrt (+ t (* z b)))

simplify1.6s

Counts
99 → 99
Iterations

Useful iterations: 3 (520.0ms)

IterNodesCost
01291651
13031522
28801420
332531291
done50001291

prune340.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.8b
(* (* a z) b)

rewrite55.0ms

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:
2.0ms
(+ x (* y z))
9.0ms
(+ (+ x (* y z)) (* t a))
36.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(* (* a z) b)

series171.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ x (* y z))
42.0ms
(+ (+ x (* y z)) (* t a))
79.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms
(* (* a z) b)

simplify573.0ms

Counts
68 → 68
Iterations

Useful iterations: done (572.0ms)

IterNodesCost
0115854
1331787
21343703
done5002695

prune160.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

77.1% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.8b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02377
13765
done3765

end0.0ms

sample832.0ms

Algorithm
intervals
Results
432.0ms11747×body80valid