Details

Time bar (total: 4.1s)

sample36.0ms

Algorithm
intervals
Results
13.0ms355×body80valid

simplify123.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0358
1937
22607
35657
47627
59847
610217
711867
815527
921127
1021127
done21127

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b
(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.5b
(* (* y 9.0) z)
5.7b
(* (* (* y 9.0) z) t)

rewrite90.0ms

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:
9.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms
(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
20.0ms
(* (* y 9.0) z)
59.0ms
(* (* (* y 9.0) z) t)

series312.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
181.0ms
(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
20.0ms
(* (* y 9.0) z)
31.0ms
(* (* (* y 9.0) z) t)

simplify67.0ms

Counts
81 → 81
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0306456
11445388
25001388
done5001388

prune255.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.2b
(* 27.0 (* a b))
0.3b
(* 9.0 (* t (* z y)))
5.3b
(* t (* z y))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*l*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 79
Calls
4 calls:
24.0ms
(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
16.0ms
(* 27.0 (* a b))
44.0ms
(* 9.0 (* t (* z y)))
17.0ms
(* t (* z y))

series177.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
23.0ms
(* 27.0 (* a b))
33.0ms
(* 9.0 (* t (* z y)))
30.0ms
(* t (* z y))

simplify60.0ms

Counts
91 → 91
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0315429
11266366
25002366
done5002366

prune261.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
0.2b
(* 27.0 (* a b))
5.4b
(* (* 9.0 t) (* z y))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
5×add-log-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
3×expm1-log1p-u log1p-expm1-u
2×associate-*r* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
3 → 60
Calls
3 calls:
19.0ms
(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
19.0ms
(* 27.0 (* a b))
27.0ms
(* (* 9.0 t) (* z y))

series147.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
25.0ms
(* 27.0 (* a b))
32.0ms
(* (* 9.0 t) (* z y))

simplify67.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0301364
11324310
25001309
done5001309

prune198.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* 27.0 a) b) (* 9.0 (* t (* z y))))
0.2b
(* (* 27.0 a) b)
0.3b
(* 9.0 (* t (* z y)))
5.3b
(* t (* z y))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
6×add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 79
Calls
4 calls:
23.0ms
(- (* (* 27.0 a) b) (* 9.0 (* t (* z y))))
17.0ms
(* (* 27.0 a) b)
44.0ms
(* 9.0 (* t (* z y)))
17.0ms
(* t (* z y))

series181.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- (* (* 27.0 a) b) (* 9.0 (* t (* z y))))
22.0ms
(* (* 27.0 a) b)
33.0ms
(* 9.0 (* t (* z y)))
33.0ms
(* t (* z y))

simplify67.0ms

Counts
91 → 91
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0329430
11490367
25001367
done5001367

prune248.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes373.0ms

Accuracy

84.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.7b

bsearch122.0ms

Steps
ItersRangePoint
9
7.177787933538216e+33
2.9613174826633274e+43
1.8608736163163653e+36
5
-1.600121028610129e-17
-7.727276368722041e-18
-1.4423536575237204e-17

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04214
14214
done4214

end0.0ms

sample953.0ms

Algorithm
intervals
Results
439.0ms10954×body80valid