Details

sample97.0ms

Algorithm

intervals

Results

48.0ms	106×	body	1280	valid
21.0ms	88×	body	640	valid
10.0ms	272×	body	80	nan
5.0ms	33×	body	320	valid
2.0ms	23×	body	160	valid
0.0ms	6×	body	80	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	6
1	25	6
2	40	6
3	61	6
4	88	6
5	104	6
6	113	6
7	113	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite21.0ms

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:

12.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
123.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	318	660
1	1025	624
2	4261	602
3	5001	602

prune180.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

28.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	528	643
1	2205	526
2	5001	525

prune257.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ 1.0 x))
0.0b	(cbrt (+ 1.0 x))
6.6b	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
6.6b	(log (cbrt (+ 1.0 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
48×	`log-prod`
40×	`add-sqr-sqrt`
35×	`times-frac`
32×	`cbrt-prod`
26×	`add-cube-cbrt`
8×	`add-exp-log` `distribute-lft-out`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-div`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `pow1/3` `rem-log-exp` `log-pow` `flip-+`
2×	`associate-/r/`
1×	`flip3--` `div-exp` `flip--` `div-inv`

Counts

4 → 99

Calls

4 calls:

2.0ms	(cbrt (+ 1.0 x))
2.0ms	(cbrt (+ 1.0 x))
7.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (+ 1.0 x))
89.0ms	(cbrt (+ 1.0 x))
184.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
113.0ms	(log (cbrt (+ 1.0 x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	537	1025
1	1592	970
2	5001	952

prune295.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ 1.0 x))
6.5b	(log (sqrt (cbrt (+ 1.0 x))))
6.6b	(log (/ (sqrt (cbrt (+ 1.0 x))) (- 1.0 x)))
6.6b	(log (cbrt (+ 1.0 x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

73×	`log-prod`
72×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
50×	`times-frac`
42×	`sqrt-prod`
36×	`add-cube-cbrt`
32×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log`
8×	`pow1` `distribute-lft-out`
7×	`log-pow`
6×	`cbrt-div`
5×	`log-div`
4×	`rem-log-exp` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`sqrt-pow1` `sqrt-div` `associate-/r/`
1×	`flip3--` `pow1/2` `div-exp` `flip--` `div-inv`

Counts

4 → 124

Calls

4 calls:

2.0ms	(cbrt (+ 1.0 x))
4.0ms	(log (sqrt (cbrt (+ 1.0 x))))
8.0ms	(log (/ (sqrt (cbrt (+ 1.0 x))) (- 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (+ 1.0 x))
120.0ms	(log (sqrt (cbrt (+ 1.0 x))))
176.0ms	(log (/ (sqrt (cbrt (+ 1.0 x))) (- 1.0 x)))
114.0ms	(log (cbrt (+ 1.0 x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	647	1438
1	1757	1364
2	5001	1333

prune413.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes16.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3355×	body	1280	valid
623.0ms	2529×	body	640	valid
219.0ms	8067×	body	80	nan
183.0ms	1246×	body	320	valid
59.0ms	662×	body	160	valid
12.0ms	208×	body	80	valid