Details

Time bar (total: 1.1m)

sample218.0ms

Algorithm
intervals
Results
99.0ms545×body80valid

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
done5004
42349
3533
2141
151
022

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize165.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 (* r r)) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
0.2b
(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
0.3b
(/ 2.0 (* r r))
0.3b
(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
106×times-frac
95×add-cbrt-cube add-exp-log
75×add-sqr-sqrt
73×*-un-lft-identity
63×associate-*l*
53×add-cube-cbrt
49×prod-exp cbrt-unprod
30×pow1
20×cbrt-undiv div-exp
18×pow-prod-down
13×add-log-exp
11×difference-of-squares
10×distribute-lft-out--
diff-log frac-sub
div-inv
associate-*l/ insert-posit16
flip3-- associate-*r/ flip-- associate-/l* associate--r+
sub-neg associate-*r* *-commutative associate--r-
clear-num associate-/r* frac-2neg associate-/r/
Counts
4 → 181
Calls
4 calls:
951.0ms
(- (/ 2.0 (* r r)) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
143.0ms
(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
32.0ms
(/ 2.0 (* r r))
243.0ms
(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

series736.0ms

Counts
4 → 12
Calls
4 calls:
353.0ms
(- (/ 2.0 (* r r)) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
119.0ms
(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
39.0ms
(/ 2.0 (* r r))
224.0ms
(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

simplify3.9s

Counts
193 → 193
Iterations
IterNodes
done5000
11262
0390

prune2.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize175.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (/ 2.0 r) r) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
0.2b
(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
0.2b
(/ (/ 2.0 r) r)
0.3b
(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
180×times-frac
120×add-sqr-sqrt
113×*-un-lft-identity
95×add-cbrt-cube add-exp-log
93×add-cube-cbrt
63×associate-*l*
48×prod-exp cbrt-unprod
30×pow1
21×cbrt-undiv div-exp
18×pow-prod-down
13×associate-/l* add-log-exp
12×difference-of-squares
10×distribute-lft-out--
div-inv
diff-log frac-sub
associate-*l/ insert-posit16
associate-/r* flip3-- associate-*r/ flip-- associate--r+
sub-neg associate-*r* *-commutative associate--r-
clear-num frac-2neg associate-/r/ associate-/l/
Counts
4 → 231
Calls
4 calls:
926.0ms
(- (/ (/ 2.0 r) r) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
229.0ms
(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
35.0ms
(/ (/ 2.0 r) r)
330.0ms
(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

series733.0ms

Counts
4 → 12
Calls
4 calls:
302.0ms
(- (/ (/ 2.0 r) r) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
107.0ms
(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
57.0ms
(/ (/ 2.0 r) r)
266.0ms
(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

simplify4.1s

Counts
243 → 243
Iterations
IterNodes
done5001
11458
0489

prune3.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize389.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125))))
0.3b
(* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) (* w r)))
0.3b
(* (* w r) (* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) (* w r))))
0.3b
(* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) (* w r))

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
498×add-exp-log
313×prod-exp cbrt-unprod
306×add-cbrt-cube
224×times-frac
180×cbrt-prod
146×add-sqr-sqrt *-un-lft-identity associate-*l*
110×add-cube-cbrt
96×cbrt-undiv div-exp
50×pow1
33×pow-prod-down
21×cbrt-div
18×distribute-lft-out-- difference-of-squares
11×associate-*l/
associate-*r/ div-inv
frac-times associate-/l/
associate-/r/
flip3-- flip--
insert-posit16 add-log-exp
associate-*r* *-commutative
clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 391
Calls
4 calls:
113.0ms
(/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125))))
559.0ms
(* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) (* w r)))
1.6s
(* (* w r) (* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) (* w r))))
191.0ms
(* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) (* w r))

series2.1s

Counts
4 → 12
Calls
4 calls:
612.0ms
(/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125))))
224.0ms
(* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) (* w r)))
357.0ms
(* (* w r) (* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) (* w r))))
916.0ms
(* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) (* w r))

simplify5.4s

Counts
403 → 403
Iterations
IterNodes
done5000
11861
0611

prune6.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize417.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) w)
0.3b
(/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125))))
0.3b
(* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) w) r))
0.3b
(* (* w r) (* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) w) r)))

rewrite4.0s

Algorithm
rewrite-expression-head
Rules
392×add-exp-log
256×add-cbrt-cube
252×prod-exp cbrt-unprod
232×times-frac
187×cbrt-prod
169×add-sqr-sqrt
147×*-un-lft-identity
146×associate-*l*
111×add-cube-cbrt
68×cbrt-undiv div-exp
47×pow1
31×pow-prod-down
21×cbrt-div
18×distribute-lft-out-- difference-of-squares
15×associate-*l/
associate-*r/ div-inv
frac-times associate-/l/
associate-/r/ unswap-sqr
flip3-- flip--
associate-*r*
insert-posit16 add-log-exp
*-commutative
clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 365
Calls
4 calls:
196.0ms
(* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) w)
115.0ms
(/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125))))
875.0ms
(* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) w) r))
2.7s
(* (* w r) (* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) w) r)))

series1.8s

Counts
4 → 12
Calls
4 calls:
658.0ms
(* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) w)
538.0ms
(/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125))))
233.0ms
(* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) w) r))
347.0ms
(* (* w r) (* (/ (* (cbrt (- 3.0 (* v 2.0))) (cbrt (- 3.0 (* v 2.0)))) (* (cbrt (/ (- 1.0 v) 0.125)) (cbrt (/ (- 1.0 v) 0.125)))) (* (* (/ (cbrt (- 3.0 (* v 2.0))) (cbrt (/ (- 1.0 v) 0.125))) w) r)))

simplify5.5s

Counts
377 → 377
Iterations
IterNodes
done5001
11666
0594

prune5.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify23.0ms

Iterations
IterNodes
done32
132
027

end0.0ms

sample4.4s

Algorithm
intervals
Results
3.5s17016×body80valid