Details

Time bar (total: 10.7s)

sample33.0ms

Algorithm
intervals
Results
15.0ms352×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01717
13517
29016
324416
450016
562016
669516
773216
884916
9123716
10124116
done124116

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0b
(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.3b
(* (* y 9.0) z)
5.2b
(* (* (* y 9.0) z) t)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* add-log-exp
4×expm1-log1p-u log1p-expm1-u
2×associate-*l* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- fma-udef
Counts
4 → 69
Calls
4 calls:
3.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms
(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
6.0ms
(* (* y 9.0) z)
24.0ms
(* (* (* y 9.0) z) t)

series269.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
154.0ms
(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
17.0ms
(* (* y 9.0) z)
25.0ms
(* (* (* y 9.0) z) t)

simplify1.0s

Counts
81 → 81
Iterations

Useful iterations: 2 (163.0ms)

IterNodesCost
0125997
1303954
21235823
done5001823

prune267.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 2.0) (* (pow (* 9.0 (* z y)) 1) t))
0.0b
(fma (* a 27.0) b (- (* x 2.0) (* (pow (* 9.0 (* z y)) 1) t)))
0.3b
(* 9.0 (* z y))
5.2b
(* (pow (* 9.0 (* z y)) 1) t)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
11×prod-exp add-cbrt-cube
10×pow1 add-sqr-sqrt
8×associate-*l*
7×add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down cbrt-unprod log1p-expm1-u
3×pow-exp
2×*-commutative unswap-sqr sqr-pow
1×pow-to-exp sub-neg unpow-prod-down flip3-- fma-neg diff-log prod-diff flip-- fma-udef
Counts
4 → 73
Calls
4 calls:
3.0ms
(- (* x 2.0) (* (pow (* 9.0 (* z y)) 1) t))
0.0ms
(fma (* a 27.0) b (- (* x 2.0) (* (pow (* 9.0 (* z y)) 1) t)))
6.0ms
(* 9.0 (* z y))
7.0ms
(* (pow (* 9.0 (* z y)) 1) t)

series280.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (* x 2.0) (* (pow (* 9.0 (* z y)) 1) t))
158.0ms
(fma (* a 27.0) b (- (* x 2.0) (* (pow (* 9.0 (* z y)) 1) t)))
21.0ms
(* 9.0 (* z y))
27.0ms
(* (pow (* 9.0 (* z y)) 1) t)

simplify758.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
01391164
1311970
21216876
done5000876

prune313.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2.0 x (- (* 9.0 (* t (* z y)))))
0.0b
(fma (* a 27.0) b (fma 2.0 x (- (* 9.0 (* t (* z y))))))
0.2b
(* 9.0 (* t (* z y)))
5.2b
(* t (* z y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative fma-udef
Counts
4 → 63
Calls
4 calls:
0.0ms
(fma 2.0 x (- (* 9.0 (* t (* z y)))))
0.0ms
(fma (* a 27.0) b (fma 2.0 x (- (* 9.0 (* t (* z y))))))
15.0ms
(* 9.0 (* t (* z y)))
6.0ms
(* t (* z y))

series288.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(fma 2.0 x (- (* 9.0 (* t (* z y)))))
157.0ms
(fma (* a 27.0) b (fma 2.0 x (- (* 9.0 (* t (* z y))))))
28.0ms
(* 9.0 (* t (* z y)))
29.0ms
(* t (* z y))

simplify1.7s

Counts
75 → 75
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
098843
1209831
2694691
33225691
done5000691

prune239.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* a 27.0) b (- (* x 2.0) (* (pow (* (sqrt 9.0) (* (sqrt 9.0) (* z y))) 1) t)))
0.3b
(* (sqrt 9.0) (* z y))
0.3b
(* (sqrt 9.0) (* (sqrt 9.0) (* z y)))
5.2b
(* (pow (* (sqrt 9.0) (* (sqrt 9.0) (* z y))) 1) t)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
21×prod-exp
20×add-cbrt-cube
19×pow1
17×associate-*l*
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity pow-prod-down cbrt-unprod
6×sqrt-prod
5×associate-*r*
4×expm1-log1p-u pow-exp log1p-expm1-u add-log-exp
3×*-commutative
2×unswap-sqr sqr-pow
1×pow-to-exp unpow-prod-down fma-udef
Counts
4 → 87
Calls
4 calls:
0.0ms
(fma (* a 27.0) b (- (* x 2.0) (* (pow (* (sqrt 9.0) (* (sqrt 9.0) (* z y))) 1) t)))
8.0ms
(* (sqrt 9.0) (* z y))
20.0ms
(* (sqrt 9.0) (* (sqrt 9.0) (* z y)))
10.0ms
(* (pow (* (sqrt 9.0) (* (sqrt 9.0) (* z y))) 1) t)

series559.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(fma (* a 27.0) b (- (* x 2.0) (* (pow (* (sqrt 9.0) (* (sqrt 9.0) (* z y))) 1) t)))
50.0ms
(* (sqrt 9.0) (* z y))
80.0ms
(* (sqrt 9.0) (* (sqrt 9.0) (* z y)))
115.0ms
(* (pow (* (sqrt 9.0) (* (sqrt 9.0) (* z y))) 1) t)

simplify895.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
01401411
1313962
21182851
done5000851

prune344.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes409.0ms

Accuracy

64.6% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 3.6b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02860
14345
25145
35745
done5745

end0.0ms

sample851.0ms

Algorithm
intervals
Results
475.0ms11045×body80valid