Details

sample63.0ms

Algorithm

intervals

Results

32.0ms

267×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	26	650
1	41	650
2	88	650
3	264	650
4	824	650
5	2858	650
done	5001	650

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

23.0ms	(* (+ (* x y) z) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
132.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series555.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ (* x y) z) y)
39.0ms	(* (+ (* (+ y a) y) b) y)
57.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
423.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.3s

Counts

103 → 103

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	194	45366
1	526	41795
2	2861	41555
done	5000	41475

prune979.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 26.9b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.7b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.8b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-*l/` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

45.0ms	(* (+ (* (+ y a) y) b) y)
48.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
117.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
113.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.3s

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ (* (+ y a) y) b) y)
81.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
581.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
641.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify3.4s

Counts

167 → 167

Iterations

Useful iterations: 2 (1.6s)

Iter	Nodes	Cost
0	275	128942
1	748	118162
2	4722	116739
done	5000	116739

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.9b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.2b	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
27.8b	(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
248×	`add-sqr-sqrt`
246×	`*-un-lft-identity` `add-cube-cbrt`
69×	`associate-/r/`
54×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
22×	`add-cbrt-cube`
21×	`associate-/r` `associate-/l`
10×	`cbrt-undiv` `rec-exp` `1-exp`
8×	`pow1`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l`
2×	`associate-*l/` `pow-flip` `inv-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`

Counts

4 → 373

Calls

4 calls:

45.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
39.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
58.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
182.0ms	(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series912.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
73.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
170.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
596.0ms	(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify3.5s

Counts

385 → 385

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	581	443220
1	1992	388784
done	5000	381058

prune3.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.9b

localize181.0ms

Local error

Found 4 expressions with local error:

17.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
17.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
17.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
23.6b	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

rewrite458.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`frac-times` `pow1` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-l/` `prod-exp` `associate-r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

47.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
55.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
56.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
296.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

series1.6s

Counts

4 → 12

Calls

4 calls:

338.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
304.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
374.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
625.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

simplify5.8s

Counts

127 → 127

Iterations

Useful iterations: 2 (2.7s)

Iter	Nodes	Cost
0	228	115679
1	630	110832
2	4761	109982
done	5000	109982

prune1.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.9b

regimes1.6s

Accuracy

0% (1.2b remaining)

Error of 29.3b against oracle of 28.2b and baseline of 29.3b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	29	731
1	46	731
done	46	731

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

8259×

body

valid