Details

sample80.0ms

Algorithm

intervals

Results

27.0ms

259×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3986
4	962
3	302
2	102
1	48
0	26

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize90.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite315.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 99

Calls

4 calls:

94.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
21.0ms	(* (+ (* x y) z) y)
73.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
122.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series838.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
53.0ms	(* (+ (* x y) z) y)
92.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
582.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	2459
1	532
0	203

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 32.2b

localize182.0ms

Local error

Found 4 expressions with local error:

24.2b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
24.2b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
24.2b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
32.5b	(/ (+ (* (+ (* (* (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))

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`cbrt-div` `add-cbrt-cube` `associate-*l/` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 72

Calls

4 calls:

15.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
21.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
29.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
408.0ms	(/ (+ (* (+ (* (* (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))

series1.6s

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
297.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
350.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
694.0ms	(/ (+ (* (+ (* (* (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))

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1294
1	423
0	171

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 32.2b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* y (fma y (fma y x z) 27464.7644705))
32.5b	(/ (fma y (+ 230661.510616 (* y (fma y (fma y x z) 27464.7644705))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite216.0ms

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`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `flip3-+` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `fma-udef`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `div-inv`

Counts

4 → 97

Calls

4 calls:

65.0ms	(* (+ (* (+ y a) y) b) y)
88.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
7.0ms	(* y (fma y (fma y x z) 27464.7644705))
51.0ms	(/ (fma y (+ 230661.510616 (* y (fma y (fma y x z) 27464.7644705))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series569.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* (+ y a) y) b) y)
94.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
65.0ms	(* y (fma y (fma y x z) 27464.7644705))
370.0ms	(/ (fma y (+ 230661.510616 (* y (fma y (fma y x z) 27464.7644705))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.1s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2099
1	455
0	189

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 32.2b

localize89.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
32.5b	(/ (fma y (+ 230661.510616 (* y (fma y (fma y x z) 27464.7644705))) t) (+ (* (+ (* (* (fma (+ y a) y b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
184.0ms	(/ (fma y (+ 230661.510616 (* y (fma y (fma y x z) 27464.7644705))) t) (+ (* (+ (* (* (fma (+ y a) y b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series1.3s

Counts

4 → 12

Calls

4 calls:

302.0ms	(cbrt y)
301.0ms	(cbrt y)
265.0ms	(cbrt y)
422.0ms	(/ (fma y (+ 230661.510616 (* y (fma y (fma y x z) 27464.7644705))) t) (+ (* (+ (* (* (fma (+ y a) y b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify2.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	3386
2	663
1	218
0	105

prune933.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 32.2b

regimes2.1s

Accuracy

0% (1.0b remaining)

Error of 29.1b against oracle of 28.0b and baseline of 29.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	32
1	32
0	23

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s

8248×

body

valid