Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

272×

body

valid

simplify160.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	9	11
1	21	11
2	40	10
3	67	10
4	100	10
5	130	10
6	132	10
done	132	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.2b

localize11.0ms

Local error

Found 2 expressions with local error:

3.2b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.0b	(* y (+ 1.0 (* z z)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*r/`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l/` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

40.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
27.0ms	(* y (+ 1.0 (* z z)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
67.0ms	(* y (+ 1.0 (* z z)))

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	160	1102
1	402	1075
2	1337	856
done	5001	854

prune324.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.1b

localize28.0ms

Local error

Found 3 expressions with local error:

0.5b	(/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x))
3.1b	(* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x)
4.0b	(* (fma z z 1.0) y)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
52×	`add-cbrt-cube`
48×	`div-exp`
33×	`prod-exp`
28×	`cbrt-undiv`
21×	`cbrt-unprod`
19×	`times-frac`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
8×	`1-exp`
7×	`pow1` `associate-/l*`
6×	`associate-r`
4×	`div-inv`
3×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `associate-/r/` `associate-/l/`

Counts

3 → 113

Calls

3 calls:

48.0ms	(/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x))
27.0ms	(* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x)
7.0ms	(* (fma z z 1.0) y)

series529.0ms

Counts

3 → 9

Calls

3 calls:

213.0ms	(/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x))
247.0ms	(* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x)
70.0ms	(* (fma z z 1.0) y)

simplify1.8s

Counts

122 → 122

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	215	2475
1	514	2193
2	2079	1582
done	5000	1400

prune353.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1.0 (* (fma z z 1.0) y))
3.0b	(/ (/ 1.0 (* (fma z z 1.0) y)) x)
4.0b	(* (fma z z 1.0) y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

8.0ms	(/ 1.0 (* (fma z z 1.0) y))
18.0ms	(/ (/ 1.0 (* (fma z z 1.0) y)) x)
8.0ms	(* (fma z z 1.0) y)

series222.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ 1.0 (* (fma z z 1.0) y))
87.0ms	(/ (/ 1.0 (* (fma z z 1.0) y)) x)
52.0ms	(* (fma z z 1.0) y)

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	177	1418
1	409	1369
2	1380	1210
done	5000	1203

prune335.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1.0 (fma z z 1.0))
3.0b	(/ (/ (/ 1.0 (fma z z 1.0)) y) x)
4.1b	(/ (/ 1.0 (fma z z 1.0)) y)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

477×	`times-frac`
237×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
59×	`associate-/l*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`

Counts

3 → 295

Calls

3 calls:

8.0ms	(/ 1.0 (fma z z 1.0))
36.0ms	(/ (/ (/ 1.0 (fma z z 1.0)) y) x)
18.0ms	(/ (/ 1.0 (fma z z 1.0)) y)

series231.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ 1.0 (fma z z 1.0))
101.0ms	(/ (/ (/ 1.0 (fma z z 1.0)) y) x)
75.0ms	(/ (/ 1.0 (fma z z 1.0)) y)

simplify2.1s

Counts

304 → 304

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	512	6080
1	1175	5779
2	3183	5600
done	5001	5600

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.0b

regimes346.0ms

Accuracy

0% (0.8b remaining)

Error of 6.0b against oracle of 5.2b and baseline of 6.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	28
1	15	28
done	15	28

end0.0ms

sample1.3s

Algorithm

intervals

Results

901.0ms

8619×

body

valid