Details

sample132.0ms

Algorithm

intervals

Results

63.0ms	95×	body	1280	valid
29.0ms	90×	body	640	valid
11.0ms	230×	body	80	nan
10.0ms	46×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	9×	body	80	valid

simplify146.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	61	12
5	88	12
6	106	12
7	121	12
8	123	12
done	123	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.2b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite401.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

388.0ms	(/ (+ 1.0 x) (- 1.0 x))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series238.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (+ 1.0 x) (- 1.0 x))
185.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify670.0ms

Counts

88 → 88

Iterations

Useful iterations: done (665.0ms)

Iter	Nodes	Cost
0	142	1276
1	328	1221
2	1300	1152
done	5000	1139

prune251.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) x)
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
37×	`*-un-lft-identity`
36×	`add-cube-cbrt`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-out` `distribute-lft1-in` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 123

Calls

2 calls:

8.0ms	(+ (* x x) x)
60.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* x x) x)
78.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify1.9s

Counts

129 → 129

Iterations

Useful iterations: 2 (751.0ms)

Iter	Nodes	Cost
0	244	1612
1	702	1434
2	4047	1134
done	5002	1134

prune526.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
0.0b	(* x (+ x 1))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
74×	`add-sqr-sqrt`
72×	`associate-r`
56×	`unpow-prod-down`
40×	`*-un-lft-identity`
38×	`add-cube-cbrt`
27×	`add-exp-log`
24×	`unpow2` `sqr-pow`
18×	`unswap-sqr`
11×	`prod-exp`
9×	`div-exp` `add-cbrt-cube`
6×	`pow1` `pow-to-exp` `associate-l` `pow-exp`
3×	`associate-*r/` `cbrt-unprod`
2×	`pow-prod-down` `*-commutative` `add-log-exp`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 133

Calls

2 calls:

79.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
47.0ms	(* x (+ x 1))

series113.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
52.0ms	(* x (+ x 1))

simplify1.9s

Counts

139 → 139

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	255	1670
1	735	1490
2	3965	1184
done	5001	1180

prune495.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ x 1))) (cbrt (* x (+ x 1))))
0.7b	(cbrt (* x (+ x 1)))
0.7b	(cbrt (* x (+ x 1)))
0.7b	(cbrt (* x (+ x 1)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

42.0ms	(* (cbrt (* x (+ x 1))) (cbrt (* x (+ x 1))))
14.0ms	(cbrt (* x (+ x 1)))
15.0ms	(cbrt (* x (+ x 1)))
12.0ms	(cbrt (* x (+ x 1)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (cbrt (* x (+ x 1))) (cbrt (* x (+ x 1))))
88.0ms	(cbrt (* x (+ x 1)))
92.0ms	(cbrt (* x (+ x 1)))
97.0ms	(cbrt (* x (+ x 1)))

simplify1.0s

Counts

84 → 84

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	136	1375
1	369	1214
2	1585	1126
done	5001	1078

prune603.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

regimes106.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	24
1	25	24
done	25	24

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.7s	3381×	body	1280	valid
1.2s	2542×	body	640	valid
1.1s	8027×	body	80	nan
465.0ms	1237×	body	320	valid
102.0ms	632×	body	160	valid
15.0ms	208×	body	80	valid