Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

385×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 6 (728.0ms)

Iter	Nodes	Cost
0	18	19
1	38	19
2	100	19
3	308	18
4	859	18
5	1860	18
6	4760	16
done	5000	16

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize12.0ms

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

rewrite48.0ms

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)
14.0ms	(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
2.0ms	(/ (fma (* x 9.0) y b) z)
28.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) c)

series388.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (* x 9.0) y b)
154.0ms	(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
60.0ms	(/ (fma (* x 9.0) y b) z)
142.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) c)

simplify519.0ms

Counts

123 → 123

Iterations

Useful iterations: done (515.0ms)

Iter	Nodes	Cost
0	170	2305
1	391	2243
2	1369	2061
done	5000	2053

prune444.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
7×	`times-frac`
6×	`prod-exp` `cbrt-unprod`
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 → 79

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.0ms	(/ (* a t) c)
3.0ms	(/ b (* z c))
4.0ms	(/ (* x y) (* z c))

series149.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
22.0ms	(/ (* a t) c)
20.0ms	(/ b (* z c))
27.0ms	(/ (* x y) (* z c))

simplify476.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	148	914
1	357	893
2	1661	735
done	5001	735

prune303.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.0ms	(/ b (* z c))
5.0ms	(/ a (/ c t))
4.0ms	(/ (* x y) (* z c))

series155.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
25.0ms	(/ b (* z c))
20.0ms	(/ a (/ c t))
28.0ms	(/ (* x y) (* z c))

simplify720.0ms

Counts

140 → 140

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	248	1608
1	567	1527
2	2485	1359
done	5000	1359

prune511.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
5.7b	(* (/ a c) t)
7.0b	(/ b (* z c))
9.9b	(/ (* x y) (* z c))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
8.0ms	(* (/ a c) t)
3.0ms	(/ b (* z c))
5.0ms	(/ (* x y) (* z c))

series158.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
26.0ms	(* (/ a c) t)
20.0ms	(/ b (* z c))
28.0ms	(/ (* x y) (* z c))

simplify515.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	166	989
1	393	970
2	1683	810
done	5000	810

prune315.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes1.1s

Accuracy

69.4% (3.3b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 10.9b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	188
1	62	188
done	62	188

end0.0ms

sample1.1s

Algorithm

intervals

Results

586.0ms

12652×

body

valid