Details

Time bar (total: 13.6s)

sample49.0ms

Algorithm
intervals
Results
35.0ms361×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
72538
6794
5305
4145
393
254
124
011

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (* z 3.0)))
0.2b
(/ y (* z 3.0))
0.2b
(* (* z 3.0) y)
5.9b
(/ t (* (* z 3.0) y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
11×add-sqr-sqrt *-un-lft-identity
9×pow1 add-cube-cbrt
7×prod-exp cbrt-unprod
6×times-frac associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×insert-posit16
3×associate-*r* pow-prod-down
2×clear-num associate-/r* frac-2neg div-inv
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 80
Calls
4 calls:
11.0ms
(- x (/ y (* z 3.0)))
11.0ms
(/ y (* z 3.0))
22.0ms
(* (* z 3.0) y)
17.0ms
(/ t (* (* z 3.0) y))

series142.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- x (/ y (* z 3.0)))
28.0ms
(/ y (* z 3.0))
26.0ms
(* (* z 3.0) y)
41.0ms
(/ t (* (* z 3.0) y))

simplify1.2s

Counts
92 → 92
Iterations
IterNodes
done5001
21865
1327
0132

prune433.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (* z 3.0)))
0.1b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
3.6b
(/ (/ t (* z 3.0)) y)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
26×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
23×add-cbrt-cube add-exp-log
13×associate-/l*
9×cbrt-undiv div-exp
7×div-inv
6×add-log-exp
5×associate-/r*
4×pow1 insert-posit16
3×clear-num frac-2neg prod-exp cbrt-unprod
1×sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares associate-/l/
Counts
4 → 108
Calls
4 calls:
8.0ms
(- x (/ y (* z 3.0)))
6.0ms
(/ t (* z 3.0))
13.0ms
(/ y (* z 3.0))
17.0ms
(/ (/ t (* z 3.0)) y)

series162.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- x (/ y (* z 3.0)))
29.0ms
(/ t (* z 3.0))
24.0ms
(/ y (* z 3.0))
48.0ms
(/ (/ t (* z 3.0)) y)

simplify1.1s

Counts
120 → 120
Iterations
IterNodes
done5000
21900
1420
0178

prune593.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
0.2b
(/ y (* z 3.0))
0.2b
(/ (/ t z) 3.0)
3.6b
(/ (/ (/ t z) 3.0) y)

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
237×*-un-lft-identity
232×add-sqr-sqrt add-cube-cbrt
59×associate-/l*
23×add-cbrt-cube add-exp-log div-inv
11×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
4×pow1 insert-posit16
3×clear-num frac-2neg
2×associate-+l+ sum-log frac-add distribute-lft-out associate-/l/
1×+-commutative sub-neg flip3-+ flip3-- diff-log prod-exp associate-+l- cbrt-unprod flip-+ flip-- distribute-lft-out--
Counts
4 → 306
Calls
4 calls:
103.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
11.0ms
(/ y (* z 3.0))
11.0ms
(/ (/ t z) 3.0)
22.0ms
(/ (/ (/ t z) 3.0) y)

series187.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
25.0ms
(/ y (* z 3.0))
24.0ms
(/ (/ t z) 3.0)
34.0ms
(/ (/ (/ t z) 3.0) y)

simplify1.1s

Counts
318 → 318
Iterations
IterNodes
done5001
11301
0540

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
0.8b
(/ 1 (/ y (/ t (* z 3.0))))
3.5b
(/ y (/ t (* z 3.0)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
107×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
57×add-exp-log
37×add-cbrt-cube
35×associate-/r*
32×div-exp
24×div-inv
18×cbrt-undiv
12×associate-/l*
6×prod-exp associate-/r/
5×pow1
4×rec-exp clear-num frac-2neg 1-exp cbrt-unprod insert-posit16 add-log-exp
1×pow-flip inv-pow
Counts
4 → 230
Calls
4 calls:
11.0ms
(/ t (* z 3.0))
11.0ms
(/ y (* z 3.0))
29.0ms
(/ 1 (/ y (/ t (* z 3.0))))
13.0ms
(/ y (/ t (* z 3.0)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ t (* z 3.0))
20.0ms
(/ y (* z 3.0))
45.0ms
(/ 1 (/ y (/ t (* z 3.0))))
43.0ms
(/ y (/ t (* z 3.0)))

simplify1.7s

Counts
242 → 242
Iterations
IterNodes
done5000
24998
1929
0335

prune958.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes258.0ms

Accuracy

24% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.6b

bsearch70.0ms

Steps
ItersRangePoint
9
-0.11221410054053835
-1.2784089865452839e-08
-3.4470093223023695e-06

simplify4.0ms

Iterations
IterNodes
done27
127
021

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.6s11095×body80valid