Details

sample118.0ms

Algorithm

intervals

Results

58.0ms	108×	body	1280	valid
24.0ms	81×	body	640	valid
14.0ms	273×	body	80	nan
8.0ms	42×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	7×	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: 58.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
4.7b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite19.0ms

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:

10.0ms	(/ (+ 1.0 x) (- 1.0 x))
5.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
122.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify118.0ms

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

prune188.0ms

Pruning

4 alts after pruning (4 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)))

rewrite35.0ms

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:

29.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify56.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (44.0ms)

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

prune278.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.0b	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
4.5b	(log (/ 1 (- 1.0 x)))
4.7b	(log (+ 1.0 x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
50×	`log-prod`
45×	`times-frac`
34×	`add-cube-cbrt`
21×	`associate-+r+`
14×	`add-exp-log`
12×	`pow1`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube` `distribute-lft-out`
5×	`rem-log-exp` `associate-/r*`
4×	`associate-+l+` `div-exp` `add-log-exp`
3×	`flip3--` `flip3-+` `log-rec` `flip--` `flip-+` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `pow-flip` `1-exp` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 138

Calls

4 calls:

5.0ms	(/ 1 (- 1.0 x))
11.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
4.0ms	(log (/ 1 (- 1.0 x)))
2.0ms	(log (+ 1.0 x))

series314.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- 1.0 x))
178.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
66.0ms	(log (/ 1 (- 1.0 x)))
46.0ms	(log (+ 1.0 x))

simplify45.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	474	939
1	1533	839
2	5001	735

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(* x (+ 2.0 (* x 0.5)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
74×	`add-sqr-sqrt`
71×	`associate-r`
56×	`unpow-prod-down`
38×	`add-cube-cbrt` `*-un-lft-identity`
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`

Counts

2 → 132

Calls

2 calls:

26.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
7.0ms	(* x (+ 2.0 (* x 0.5)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
66.0ms	(* x (+ 2.0 (* x 0.5)))

simplify79.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	659	755
1	3042	629
2	5001	628

prune332.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes26.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	3398×	body	1280	valid
748.0ms	2534×	body	640	valid
425.0ms	8176×	body	80	nan
242.0ms	1250×	body	320	valid
84.0ms	636×	body	160	valid
14.0ms	182×	body	80	valid