Details

sample111.0ms

Algorithm

intervals

Results

56.0ms	114×	body	1280	valid
22.0ms	76×	body	640	valid
11.0ms	312×	body	80	nan
7.0ms	39×	body	320	valid
2.0ms	21×	body	160	valid
0.0ms	6×	body	80	valid

simplify17.0ms

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	65	6
4	98	6
5	122	6
6	135	6
7	137	6
8	137	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 58.7b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite18.0ms

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×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

8.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
130.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify125.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	334	673
1	1078	636
2	4549	616
3	5001	613

prune173.0ms

Filtered

92 candidates to 62 candidates (67.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	4	93

Merged error: 0.2b

Counts

93 → 4

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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` `expm1-log1p-u` `associate-r/` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 112

Calls

1 calls:

23.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	532	653
1	2211	536
2	5002	535

prune249.0ms

Filtered

115 candidates to 70 candidates (60.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	115	4	119

Merged error: 0.2b

Counts

119 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.4b	(log (+ 1.0 x))
5.4b	(log (- 1.0 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--r+`
4×	`fma-neg` `associate--l+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 87

Calls

3 calls:

9.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
3.0ms	(log (+ 1.0 x))
4.0ms	(log (- 1.0 x))

series356.0ms

Counts

3 → 9

Calls

3 calls:

265.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
45.0ms	(log (+ 1.0 x))
46.0ms	(log (- 1.0 x))

simplify124.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	372	830
1	1084	632
2	4581	619
3	5001	598

prune163.0ms

Filtered

96 candidates to 64 candidates (66.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	99	1	100

Merged error: 0b

Counts

100 → 1

localize19.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-sqr-sqrt`
53×	`associate-r`
48×	`unpow-prod-down`
31×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log`
20×	`sqr-pow`
10×	`prod-exp` `unswap-sqr`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 90

Calls

1 calls:

16.0ms

(* 2/5 (/ (pow x 5) (pow 1.0 5)))

series98.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

(* 2/5 (/ (pow x 5) (pow 1.0 5)))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	440	564
1	1975	546
2	5001	546

prune273.0ms

Filtered

93 candidates to 62 candidates (66.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	1	94

Merged error: 0b

Counts

94 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	3460×	body	1280	valid
691.0ms	2422×	body	640	valid
300.0ms	8149×	body	80	nan
227.0ms	1283×	body	320	valid
70.0ms	658×	body	160	valid
9.0ms	177×	body	80	valid