Details

Time bar (total: 7.3s)

sample33.0ms

Algorithm
intervals
Results
14.0ms349×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
13417
28017
320717
438017
546717
647617
749917
858217
992217
done92217

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b
(* (* y 9.0) z)
0.7b
(* (* a 27.0) b)
6.2b
(* (* (* y 9.0) z) t)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
associate-*l* *-commutative
sub-neg flip3-- diff-log flip--
Counts
4 → 69
Calls
4 calls:
2.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
6.0ms
(* (* y 9.0) z)
6.0ms
(* (* a 27.0) b)
21.0ms
(* (* (* y 9.0) z) t)

series134.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
21.0ms
(* (* y 9.0) z)
20.0ms
(* (* a 27.0) b)
26.0ms
(* (* (* y 9.0) z) t)

simplify661.0ms

Counts
81 → 81
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
0133816
1348775
21485651
done5001651

prune217.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.0b
(- (* x 2.0) (* (* y 9.0) (* z t)))
0.7b
(* (* a 27.0) b)
3.2b
(* (* y 9.0) (* z t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r*
sub-neg associate-+l+ diff-log associate-*l* sum-log *-commutative
+-commutative associate-+l- flip3-- flip3-+ flip-- flip-+
Counts
4 → 67
Calls
4 calls:
12.0ms
(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
3.0ms
(- (* x 2.0) (* (* y 9.0) (* z t)))
6.0ms
(* (* a 27.0) b)
10.0ms
(* (* y 9.0) (* z t))

series261.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
71.0ms
(- (* x 2.0) (* (* y 9.0) (* z t)))
20.0ms
(* (* a 27.0) b)
25.0ms
(* (* y 9.0) (* z t))

simplify589.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
01381103
13851026
21504914
done5000914

prune196.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 2.0) (* y (* 9.0 (* z t))))
0.2b
(* 9.0 (* z t))
0.7b
(* (* a 27.0) b)
3.2b
(* y (* 9.0 (* z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
add-log-exp
associate-*r*
*-commutative
sub-neg flip3-- diff-log flip--
Counts
4 → 69
Calls
4 calls:
3.0ms
(- (* x 2.0) (* y (* 9.0 (* z t))))
8.0ms
(* 9.0 (* z t))
6.0ms
(* (* a 27.0) b)
15.0ms
(* y (* 9.0 (* z t)))

series130.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (* x 2.0) (* y (* 9.0 (* z t))))
17.0ms
(* 9.0 (* z t))
20.0ms
(* (* a 27.0) b)
25.0ms
(* y (* 9.0 (* z t)))

simplify525.0ms

Counts
81 → 81
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
0130810
1334773
21293649
done5000649

prune212.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.7b
(* (* a 27.0) b)
1.5b
(* (cbrt y) (* 9.0 (* z t)))
1.9b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 (* z t))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1 add-exp-log
33×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
cbrt-prod
associate-*r*
add-log-exp
*-commutative
pow1/3
Counts
4 → 87
Calls
4 calls:
1.0ms
(cbrt y)
7.0ms
(* (* a 27.0) b)
16.0ms
(* (cbrt y) (* 9.0 (* z t)))
56.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 (* z t))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt y)
20.0ms
(* (* a 27.0) b)
119.0ms
(* (cbrt y) (* 9.0 (* z t)))
53.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 (* z t))))

simplify589.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (144.0ms)

IterNodesCost
01471200
13991158
21630802
done5001802

prune259.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes639.0ms

Accuracy

82.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03067
14651
done4651

end0.0ms

sample846.0ms

Algorithm
intervals
Results
462.0ms10974×body80valid