Details

sample86.0ms

Algorithm

intervals

Results

43.0ms

261×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	254	33
4	623	33
5	1355	33
6	1672	33
7	1766	33
8	2056	33
9	2982	33
done	5001	33

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
31.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite314.0ms

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:

81.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
66.0ms	(* (+ (* (+ y a) y) b) y)
35.0ms	(* (+ (* x y) z) y)
128.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series708.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
49.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* (+ (* x y) z) y)
541.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.0s

Counts

103 → 103

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	193	2457
1	508	2417
2	1855	2183
done	5000	2179

prune670.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 30.8b

localize56.0ms

Local error

Found 4 expressions with local error:

22.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
22.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
22.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
31.1b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite704.0ms

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:

28.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
33.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
28.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
611.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.5s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
262.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
215.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
666.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.7s

Counts

76 → 76

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	167	3716
1	403	3693
2	1148	2370
3	4372	2176
done	5001	2128

prune692.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 30.8b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.4b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite590.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

100.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
44.0ms	(* (+ (* x y) z) y)
87.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
353.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series847.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
50.0ms	(* (+ (* x y) z) y)
95.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
615.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.4s

Counts

127 → 127

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	205	3359
1	542	3185
2	1912	2843
done	5000	2839

prune915.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 30.8b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
31.1b	(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
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` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

45.0ms	(* (+ (* (+ y a) y) b) y)
55.0ms	(* (+ (* x y) z) y)
32.0ms	(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
56.0ms	(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y)))

series1.7m

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (+ (* (+ y a) y) b) y)
62.0ms	(* (+ (* x y) z) y)
1.7m	(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
890.0ms	(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y)))

simplify1.3s

Counts

167 → 167

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	274	7094
1	668	6794
2	2067	6277
done	5000	6251

prune848.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 30.8b

regimes999.0ms

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	35
1	46	35
done	46	35

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.9s

8261×

body

valid