Details

Time bar (total: 53.4s)

sample248.0ms

Algorithm
intervals
Results
149.0ms555×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
42295
3723
2217
167
028

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.8b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.2b
(* (* x 18.0) y)
4.6b
(* (* (* x 18.0) y) z)
7.2b
(* (* (* (* x 18.0) y) z) t)

rewrite293.0ms

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×expm1-log1p-u associate-*l* *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 93
Calls
4 calls:
15.0ms
(* (* j 27.0) k)
27.0ms
(* (* x 18.0) y)
59.0ms
(* (* (* x 18.0) y) z)
190.0ms
(* (* (* (* x 18.0) y) z) t)

series190.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* j 27.0) k)
25.0ms
(* (* x 18.0) y)
53.0ms
(* (* (* x 18.0) y) z)
74.0ms
(* (* (* (* x 18.0) y) z) t)

simplify6.6s

Counts
105 → 105
Iterations
IterNodes
38462
21574
1379
0149

prune2.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.3b
(* (* z x) 18.0)
4.8b
(* y (* (* z x) 18.0))
7.2b
(* (* y (* (* z x) 18.0)) t)

rewrite281.0ms

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×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 93
Calls
4 calls:
27.0ms
(* (* j 27.0) k)
18.0ms
(* (* z x) 18.0)
53.0ms
(* y (* (* z x) 18.0))
181.0ms
(* (* y (* (* z x) 18.0)) t)

series174.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* j 27.0) k)
23.0ms
(* (* z x) 18.0)
43.0ms
(* y (* (* z x) 18.0))
82.0ms
(* (* y (* (* z x) 18.0)) t)

simplify5.1s

Counts
105 → 105
Iterations
IterNodes
37451
21437
1373
0147

prune2.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize95.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.3b
(* (* z x) 18.0)
6.5b
(* y (* (* (* z x) 18.0) t))
6.5b
(* (* (* z x) 18.0) t)

rewrite280.0ms

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×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 93
Calls
4 calls:
19.0ms
(* (* j 27.0) k)
27.0ms
(* (* z x) 18.0)
156.0ms
(* y (* (* (* z x) 18.0) t))
74.0ms
(* (* (* z x) 18.0) t)

series199.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* j 27.0) k)
38.0ms
(* (* z x) 18.0)
82.0ms
(* y (* (* (* z x) 18.0) t))
39.0ms
(* (* (* z x) 18.0) t)

simplify5.8s

Counts
105 → 105
Iterations
IterNodes
37586
21471
1375
0148

prune2.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (+ (- (* y (* (* z x) (* 18.0 t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
0.2b
(* (* j 27.0) k)
6.5b
(* y (* (* z x) (* 18.0 t)))
6.6b
(* (* z x) (* 18.0 t))

rewrite8.4s

Algorithm
rewrite-expression-head
Rules
39×pow1 add-cbrt-cube add-exp-log
24×pow-prod-down prod-exp cbrt-unprod
18×add-log-exp
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×diff-log
7×associate--l+
6×prod-diff
5×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×fma-neg *-commutative
2×sum-log sub-neg
1×associate--l- flip3-- flip--
Counts
4 → 107
Calls
4 calls:
8.3s
(- (- (+ (- (* y (* (* z x) (* 18.0 t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
31.0ms
(* (* j 27.0) k)
93.0ms
(* y (* (* z x) (* 18.0 t)))
29.0ms
(* (* z x) (* 18.0 t))

series3.3s

Counts
4 → 12
Calls
4 calls:
3.2s
(- (- (+ (- (* y (* (* z x) (* 18.0 t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
25.0ms
(* (* j 27.0) k)
54.0ms
(* y (* (* z x) (* 18.0 t)))
36.0ms
(* (* z x) (* 18.0 t))

simplify4.4s

Counts
119 → 119
Iterations
IterNodes
310825
21876
1492
0200

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.9s

Accuracy

59.7% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 4.5b

bsearch685.0ms

Steps
ItersRangePoint
7
1.2609150431954315e+30
8.600827872033438e+31
2.2461908709946448e+30
9
-2.4393805121059949e+55
-8.94874405508904e+47
-1.7663475138560147e+51

simplify11.0ms

Iterations
IterNodes
268
168
047

end0.0ms

sample4.3s

Algorithm
intervals
Results
3.4s16074×body80valid