Details

sample50.0ms

Algorithm

intervals

Results

23.0ms

265×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	264	33
4	824	33
5	2916	33
done	5001	33

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
26.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

125.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
74.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
28.0ms	(* (+ (* x y) z) y)
162.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series799.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
97.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
44.0ms	(* (+ (* x y) z) y)
548.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.0s

Counts

103 → 103

Iterations

Useful iterations: 2 (468.0ms)

Iter	Nodes	Cost
0	194	2565
1	522	2499
2	2814	2291
done	5000	2291

prune786.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 25.8b

localize53.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (+ (* x y) z))
7.5b	(cbrt (+ (* x y) z))
7.5b	(cbrt (+ (* x y) z))
26.3b	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite676.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 70

Calls

4 calls:

11.0ms	(cbrt (+ (* x y) z))
12.0ms	(cbrt (+ (* x y) z))
11.0ms	(cbrt (+ (* x y) z))
638.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (+ (* x y) z))
147.0ms	(cbrt (+ (* x y) z))
153.0ms	(cbrt (+ (* x y) z))
545.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify838.0ms

Counts

82 → 82

Iterations

Useful iterations: done (833.0ms)

Iter	Nodes	Cost
0	142	2882
1	357	2850
2	1202	2117
done	5000	1957

prune761.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 25.8b

localize62.0ms

Local error

Found 4 expressions with local error:

23.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
23.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
23.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
26.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

rewrite595.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*l/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

53.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
31.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
35.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
472.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

series1.9s

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
341.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
336.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
824.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

simplify925.0ms

Counts

76 → 76

Iterations

Useful iterations: done (919.0ms)

Iter	Nodes	Cost
0	136	3870
1	325	3853
2	1084	2202
done	5000	2149

prune741.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 25.8b

localize74.0ms

Local error

Found 4 expressions with local error:

21.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
23.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
26.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt y))) i))

rewrite693.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`cbrt-prod` `flip3-+` `flip-+`
4×	`pow1` `associate-*l/` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 66

Calls

4 calls:

18.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
46.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
49.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
577.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt y))) i))

series1.7s

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
360.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
300.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
770.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt y))) i))

simplify872.0ms

Counts

78 → 78

Iterations

Useful iterations: done (866.0ms)

Iter	Nodes	Cost
0	156	3945
1	363	3926
2	1245	3558
done	5001	3476

prune746.0ms

Pruning

15 alts after pruning (11 fresh and 4 done)

Merged error: 25.8b

regimes1.3s

Accuracy

0% (1.1b remaining)

Error of 28.7b against oracle of 27.6b and baseline of 28.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
done	41	33

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.0s

8231×

body

valid