Details

Time bar (total: 24.5s)

sample122.0ms

Algorithm
intervals
Results
60.0ms486×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
02831
16629
220129
361429
4171029
done500129

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.2b
(* (* x 18.0) y)
4.2b
(* (* (* x 18.0) y) z)
5.2b
(* (* (* (* x 18.0) y) z) t)

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-cbrt-cube add-exp-log
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×associate-*l* *-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
28.0ms
(* (* j 27.0) k)
25.0ms
(* (* x 18.0) y)
61.0ms
(* (* (* x 18.0) y) z)
200.0ms
(* (* (* (* x 18.0) y) z) t)

series145.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* j 27.0) k)
24.0ms
(* (* x 18.0) y)
29.0ms
(* (* (* x 18.0) y) z)
62.0ms
(* (* (* (* x 18.0) y) z) t)

simplify2.4s

Counts
93 → 93
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0137914
1371884
23119722
done5002718

prune881.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.2b
(* x (* y 18.0))
4.2b
(* (* x (* y 18.0)) z)
5.2b
(* (* (* x (* y 18.0)) z) t)

rewrite648.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-cbrt-cube add-exp-log
22×pow-prod-down prod-exp cbrt-unprod
10×associate-*r*
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-*l*
4×*-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
14.0ms
(* (* j 27.0) k)
14.0ms
(* x (* y 18.0))
50.0ms
(* (* x (* y 18.0)) z)
566.0ms
(* (* (* x (* y 18.0)) z) t)

series158.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* j 27.0) k)
37.0ms
(* x (* y 18.0))
45.0ms
(* (* x (* y 18.0)) z)
51.0ms
(* (* (* x (* y 18.0)) z) t)

simplify1.9s

Counts
93 → 93
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0134913
1363885
22513713
done5001697

prune884.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- (pow (* (* t z) (* (* x 18.0) y)) 1) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.2b
(* (* j 27.0) k)
0.2b
(* (* x 18.0) y)
7.5b
(* (* t z) (* (* x 18.0) y))

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1 add-cbrt-cube add-exp-log
21×pow-prod-down prod-exp cbrt-unprod
13×add-log-exp
7×associate-*r*
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×diff-log
3×associate-*l* *-commutative
2×sum-log
1×associate--l- sub-neg flip3-- associate--l+ associate-+l- flip--
Counts
4 → 80
Calls
4 calls:
247.0ms
(- (+ (- (pow (* (* t z) (* (* x 18.0) y)) 1) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
25.0ms
(* (* j 27.0) k)
26.0ms
(* (* x 18.0) y)
75.0ms
(* (* t z) (* (* x 18.0) y))

series714.0ms

Counts
4 → 12
Calls
4 calls:
575.0ms
(- (+ (- (pow (* (* t z) (* (* x 18.0) y)) 1) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
36.0ms
(* (* j 27.0) k)
37.0ms
(* (* x 18.0) y)
65.0ms
(* (* t z) (* (* x 18.0) y))

simplify1.6s

Counts
92 → 92
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01721391
14871314
228941072
done50001058

prune797.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- (pow (* (* (* t z) (* x 18.0)) y) 1) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.2b
(* (* j 27.0) k)
3.8b
(* (* (* t z) (* x 18.0)) y)
4.2b
(* (* t z) (* x 18.0))

rewrite446.0ms

Algorithm
rewrite-expression-head
Rules
39×pow1 add-cbrt-cube add-exp-log
24×pow-prod-down prod-exp cbrt-unprod
13×add-log-exp
7×associate-*r*
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×diff-log
3×associate-*l* *-commutative
2×sum-log
1×associate--l- sub-neg flip3-- associate--l+ associate-+l- flip--
Counts
4 → 83
Calls
4 calls:
298.0ms
(- (+ (- (pow (* (* (* t z) (* x 18.0)) y) 1) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
13.0ms
(* (* j 27.0) k)
84.0ms
(* (* (* t z) (* x 18.0)) y)
48.0ms
(* (* t z) (* x 18.0))

series631.0ms

Counts
4 → 12
Calls
4 calls:
524.0ms
(- (+ (- (pow (* (* (* t z) (* x 18.0)) y) 1) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
25.0ms
(* (* j 27.0) k)
52.0ms
(* (* (* t z) (* x 18.0)) y)
30.0ms
(* (* t z) (* x 18.0))

simplify2.2s

Counts
95 → 95
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01751472
14881392
229921164
done50021138

prune643.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes3.0s

Accuracy

72.1% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 5.0b

bsearch5.0ms

simplify18.0ms

Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
064170
194164
done94164

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.8s16234×body80valid