Details

sample101.0ms

Algorithm

intervals

Results

53.0ms

399×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	18	19
1	38	19
2	100	19
3	321	18
4	988	18
5	2636	18
done	5000	16

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (* x 9.0) b)
0.7b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
2.2b	(/ (fma y (* x 9.0) b) z)
9.4b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`fma-neg` `prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `fma-udef`

Counts

4 → 111

Calls

4 calls:

0.0ms	(fma y (* x 9.0) b)
40.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
10.0ms	(/ (fma y (* x 9.0) b) z)
79.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series682.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(fma y (* x 9.0) b)
311.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
101.0ms	(/ (fma y (* x 9.0) b) z)
209.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts

123 → 123

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	170	2305
1	387	2243
2	1744	2065
done	5001	2006

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.9b	(/ b (* z c))
5.2b	(/ (* (* a 4.0) t) c)
8.6b	(/ (* x y) (* z c))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
7×	`times-frac`
5×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
1×	`fma-udef`

Counts

4 → 81

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
9.0ms	(/ b (* z c))
30.0ms	(/ (* (* a 4.0) t) c)
14.0ms	(/ (* x y) (* z c))

series270.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
41.0ms	(/ b (* z c))
39.0ms	(/ (* (* a 4.0) t) c)
43.0ms	(/ (* x y) (* z c))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 2 (323.0ms)

Iter	Nodes	Cost
0	163	1010
1	420	986
2	2401	808
done	5000	808

prune681.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.9b	(/ b (* z c))
5.3b	(* (* a 4.0) (/ t c))
8.6b	(/ (* x y) (* z c))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r*`
11×	`prod-exp` `cbrt-unprod`
9×	`pow1`
8×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow-prod-down` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/r*`
1×	`associate-r/` `associate-l` `-commutative` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
8.0ms	(/ b (* z c))
34.0ms	(* (* a 4.0) (/ t c))
14.0ms	(/ (* x y) (* z c))

series268.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
29.0ms	(/ b (* z c))
52.0ms	(* (* a 4.0) (/ t c))
46.0ms	(/ (* x y) (* z c))

simplify1.8s

Counts

103 → 103

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	178	1113
1	478	1081
2	2735	887
done	5000	879

prune785.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
1.1b	(* (* a 4.0) (/ (* (cbrt t) (cbrt t)) (* (cbrt c) (cbrt c))))
4.9b	(/ b (* z c))
8.6b	(/ (* x y) (* z c))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
46×	`add-cbrt-cube`
28×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
9×	`pow1`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`times-frac` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`cbrt-prod` `pow-prod-down` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/r*`
1×	`pow1/3` `associate-r/` `associate-l` `-commutative`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt t)
57.0ms	(* (* a 4.0) (/ (* (cbrt t) (cbrt t)) (* (cbrt c) (cbrt c))))
15.0ms	(/ b (* z c))
25.0ms	(/ (* x y) (* z c))

series454.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt t)
110.0ms	(* (* a 4.0) (/ (* (cbrt t) (cbrt t)) (* (cbrt c) (cbrt c))))
24.0ms	(/ b (* z c))
34.0ms	(/ (* x y) (* z c))

simplify2.3s

Counts

110 → 110

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	220	1470
1	631	1414
2	3684	1016
done	5001	957

prune801.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes2.5s

Accuracy

26.6% (6.2b remaining)

Error of 6.8b against oracle of 0.5b and baseline of 9.0b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	126
1	59	126
done	59	126

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s

12891×

body

valid