Details

sample82.0ms

Algorithm

intervals

Results

29.0ms	256×	body	80	valid
25.0ms	237×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	4150
3	839
2	163
1	44
0	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (* v v))
0.2b	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b	(* PI t)
0.4b	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*r/`
16×	`pow1`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`flip3--` `sqrt-div` `associate-r` `associate-/r/` `flip--`
7×	`associate-l` `pow-prod-down`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/` `unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `sqrt-prod` `div-inv`

Counts

4 → 102

Calls

4 calls:

15.0ms	(* 3.0 (* v v))
133.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
5.0ms	(* PI t)
33.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 3.0 (* v v))
788.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
36.0ms	(* PI t)
254.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.1s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
1	827
0	261

prune966.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* 5.0 (* v v)) 3)
0.1b	(* 3.0 (* v v))
0.2b	(* t (* PI (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.2b	(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* t (* PI (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (* (- 1.0 (* v v)) (fma 1.0 1.0 (* (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))))))))

rewrite485.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
30×	`add-sqr-sqrt`
26×	`associate-*r/`
24×	`prod-exp` `cbrt-unprod`
20×	`pow1`
16×	`difference-of-squares`
13×	`-un-lft-identity` `times-frac` `associate-/l` `sqr-pow`
9×	`pow-prod-down` `add-cube-cbrt`
8×	`flip3--` `sqrt-div` `associate-*l/` `associate-/r/` `flip--`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
5×	`unpow-prod-down` `cube-prod`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`difference-cubes` `associate-r` `*-commutative` `distribute-lft-out--` `associate-/l/`
1×	`cube-mult` `pow-to-exp` `clear-num` `associate-/r*` `frac-2neg` `unpow3` `div-sub` `div-inv` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

13.0ms	(pow (* 5.0 (* v v)) 3)
14.0ms	(* 3.0 (* v v))
81.0ms	(* t (* PI (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
371.0ms	(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* t (* PI (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (* (- 1.0 (* v v)) (fma 1.0 1.0 (* (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

66.0ms	(pow (* 5.0 (* v v)) 3)
36.0ms	(* 3.0 (* v v))
283.0ms	(* t (* PI (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
849.0ms	(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* t (* PI (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (* (- 1.0 (* v v)) (fma 1.0 1.0 (* (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))))))))

simplify1.8s

Counts

146 → 146

Iterations

Iter	Nodes
done	5001
1	1119
0	340

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.2b	(* t (* PI (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))
0.2b	(/ (- (* 1.0 (* 1.0 1.0)) (* (* 5.0 (* v v)) (* (* 5.0 (* v v)) (* 5.0 (* v v))))) (* t (* PI (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

28×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
12×	`prod-exp` `associate-*r/` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`-un-lft-identity` `associate-l*` `pow-prod-down` `add-cube-cbrt`
4×	`expm1-log1p-u` `times-frac` `sqrt-div` `cube-unmult` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-r` `*-commutative` `flip--`
2×	`difference-cubes` `associate-/r/` `unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `div-inv`

Counts

4 → 96

Calls

4 calls:

13.0ms	(* 3.0 (* v v))
14.0ms	(* 3.0 (* v v))
100.0ms	(* t (* PI (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))
888.0ms	(/ (- (* 1.0 (* 1.0 1.0)) (* (* 5.0 (* v v)) (* (* 5.0 (* v v)) (* 5.0 (* v v))))) (* t (* PI (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))))

series710.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 3.0 (* v v))
47.0ms	(* 3.0 (* v v))
298.0ms	(* t (* PI (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))
333.0ms	(/ (- (* 1.0 (* 1.0 1.0)) (* (* 5.0 (* v v)) (* (* 5.0 (* v v)) (* 5.0 (* v v))))) (* t (* PI (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))))

simplify3.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	3023
1	529
0	176

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize141.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.2b	(* (/ (fma (* v v) (* 5.0 (fma (* v v) 5.0 1.0)) (* 1.0 1.0)) t) (/ (- 1.0 (* 5.0 (* v v))) (* PI (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-cbrt-cube` `add-exp-log`
24×	`add-sqr-sqrt`
22×	`associate-l`
21×	`pow1`
17×	`prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity` `add-cube-cbrt`
13×	`times-frac`
12×	`associate-r`
10×	`pow-prod-down`
7×	`cbrt-undiv` `div-exp`
5×	`associate-*r/` `unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-div` `associate-/r/` `div-inv`
1×	`frac-times` `flip3--` `associate-*l/` `flip--`

Counts

4 → 113

Calls

4 calls:

25.0ms	(* 3.0 (* v v))
25.0ms	(* 3.0 (* v v))
27.0ms	(* 3.0 (* v v))
151.0ms	(* (/ (fma (* v v) (* 5.0 (fma (* v v) 5.0 1.0)) (* 1.0 1.0)) t) (/ (- 1.0 (* 5.0 (* v v))) (* PI (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))))

series580.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 3.0 (* v v))
46.0ms	(* 3.0 (* v v))
29.0ms	(* 3.0 (* v v))
464.0ms	(* (/ (fma (* v v) (* 5.0 (fma (* v v) 5.0 1.0)) (* 1.0 1.0)) t) (/ (- 1.0 (* 5.0 (* v v))) (* PI (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))))

simplify3.0s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	3211
1	558
0	186

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	43
1	43
0	32

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	7985×	body	80	nan
973.0ms	8000×	body	80	valid