Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

385×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 6 (1.3s)

Iter	Nodes	Cost
0	18	19
1	38	19
2	100	19
3	306	18
4	829	18
5	1810	18
6	4051	16
done	5000	16

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (* 9.0 y) b)
0.5b	(- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0))
2.4b	(/ (fma x (* 9.0 y) b) z)
11.4b	(/ (- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0)) c)

rewrite49.0ms

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 x (* 9.0 y) b)
15.0ms	(- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0))
2.0ms	(/ (fma x (* 9.0 y) b) z)
28.0ms	(/ (- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0)) c)

series408.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma x (* 9.0 y) b)
159.0ms	(- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0))
59.0ms	(/ (fma x (* 9.0 y) b) z)
151.0ms	(/ (- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0)) c)

simplify526.0ms

Counts

123 → 123

Iterations

Useful iterations: done (522.0ms)

Iter	Nodes	Cost
0	170	2305
1	377	2246
2	1202	2061
done	5000	2053

prune466.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
6.2b	(/ (* (* t a) 4.0) c)
7.0b	(/ b (* z c))
9.9b	(/ (* x y) (* z c))

rewrite18.0ms

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)))
8.0ms	(/ (* (* t a) 4.0) c)
3.0ms	(/ b (* z c))
5.0ms	(/ (* x y) (* z c))

series164.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
28.0ms	(/ (* (* t a) 4.0) c)
23.0ms	(/ b (* z c))
29.0ms	(/ (* x y) (* z c))

simplify551.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	163	1010
1	409	986
2	1965	802
done	5000	802

prune299.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.5b

localize20.0ms

Local error

Found 4 expressions with local error:

9.9b	(/ (* x y) (* z c))
15.7b	(cbrt (/ (* x y) (* z c)))
15.7b	(cbrt (/ (* x y) (* z c)))
15.7b	(cbrt (/ (* x y) (* z c)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

4.0ms	(/ (* x y) (* z c))
3.0ms	(cbrt (/ (* x y) (* z c)))
3.0ms	(cbrt (/ (* x y) (* z c)))
3.0ms	(cbrt (/ (* x y) (* z c)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* x y) (* z c))
91.0ms	(cbrt (/ (* x y) (* z c)))
88.0ms	(cbrt (/ (* x y) (* z c)))
89.0ms	(cbrt (/ (* x y) (* z c)))

simplify469.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	101	1026
1	245	994
2	1099	858
done	5001	858

prune396.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (* z c))
6.2b	(/ (* (* t a) 4.0) c)
6.9b	(* b (/ 1 (* z c)))
9.9b	(/ (* x y) (* z c))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log`
39×	`add-cbrt-cube`
20×	`prod-exp`
15×	`div-exp`
13×	`add-sqr-sqrt`
12×	`cbrt-unprod`
11×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`pow1`
7×	`associate-r`
5×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`pow-flip` `pow-prod-down`
1×	`associate-r/` `un-div-inv` `-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

4.0ms	(/ 1 (* z c))
8.0ms	(/ (* (* t a) 4.0) c)
14.0ms	(* b (/ 1 (* z c)))
5.0ms	(/ (* x y) (* z c))

series93.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ 1 (* z c))
28.0ms	(/ (* (* t a) 4.0) c)
25.0ms	(* b (/ 1 (* z c)))
29.0ms	(/ (* x y) (* z c))

simplify686.0ms

Counts

124 → 124

Iterations

Useful iterations: 2 (200.0ms)

Iter	Nodes	Cost
0	186	1150
1	491	1017
2	2229	815
done	5001	815

prune326.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.5b

regimes1.0s

Accuracy

76.5% (2.2b remaining)

Error of 5.1b against oracle of 2.9b and baseline of 12.1b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	190
1	69	190
done	69	190

end0.0ms

sample1.1s

Algorithm

intervals

Results

598.0ms

12652×

body

valid