Details

sample99.0ms

Algorithm

intervals

Results

54.0ms	117×	body	1280	valid
19.0ms	75×	body	640	valid
6.0ms	38×	body	320	valid
6.0ms	191×	body	80	nan
2.0ms	20×	body	160	valid
0.0ms	6×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 58.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
4.9b	(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:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (+ 1.0 x) (- 1.0 x))
123.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify119.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (25.0ms)

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

prune194.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
39×	`*-un-lft-identity`
36×	`add-cube-cbrt`
26×	`unpow2`
25×	`add-exp-log`
24×	`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` `distribute-lft-out`

Counts

2 → 124

Calls

2 calls:

7.0ms	(+ (pow x 2) x)
28.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (pow x 2) x)
56.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify61.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	586	700
1	2461	578
2	5002	577

prune331.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:

28.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
10.0ms	(* x (+ x 1))

series92.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
38.0ms	(* x (+ x 1))

simplify75.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	637	724
1	3040	597
2	5001	596

prune340.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ x 1))
0.0b	(cbrt (+ x 1))
0.0b	(cbrt (+ x 1))
0.0b	(* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
17×	`*-un-lft-identity`
16×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-out` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

2.0ms	(cbrt (+ x 1))
2.0ms	(cbrt (+ x 1))
2.0ms	(cbrt (+ x 1))
94.0ms	(* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (+ x 1))
34.0ms	(cbrt (+ x 1))
39.0ms	(cbrt (+ x 1))
38.0ms	(* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1)))

simplify63.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	441	1060
1	1909	939
2	5002	888

prune330.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes81.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	3381×	body	1280	valid
623.0ms	2452×	body	640	valid
231.0ms	7986×	body	80	nan
196.0ms	1297×	body	320	valid
60.0ms	650×	body	160	valid
10.0ms	220×	body	80	valid