Details

sample120.0ms

Algorithm

intervals

Results

52.0ms	98×	body	1280	valid
27.0ms	86×	body	640	valid
14.0ms	282×	body	80	nan
8.0ms	40×	body	320	valid
6.0ms	21×	body	160	valid
1.0ms	11×	body	80	valid

simplify16.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.8b	(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×	`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:

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:

30.0ms	(/ (+ 1.0 x) (- 1.0 x))
123.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify114.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (106.0ms)

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

prune199.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
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`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

0.0ms	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
28.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series374.0ms

Counts

2 → 6

Calls

2 calls:

320.0ms	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
53.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify55.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	555	769
1	2288	635
2	5002	634

prune334.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.9b	(log (- 1.0 x))
5.9b	(log (+ 1.0 x))

rewrite17.0ms

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))
2.0ms	(log (+ 1.0 x))

series352.0ms

Counts

3 → 9

Calls

3 calls:

264.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
48.0ms	(log (- 1.0 x))
40.0ms	(log (+ 1.0 x))

simplify126.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (117.0ms)

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

prune188.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2/3 (/ (pow x 3) (pow 1.0 3)) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 100

Calls

2 calls:

0.0ms	(fma 2/3 (/ (pow x 3) (pow 1.0 3)) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
25.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

series199.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(fma 2/3 (/ (pow x 3) (pow 1.0 3)) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
102.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

simplify56.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	494	703
1	2136	666
2	5001	666

prune367.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.8s	3330×	body	1280	valid
797.0ms	2470×	body	640	valid
406.0ms	8006×	body	80	nan
273.0ms	1293×	body	320	valid
97.0ms	683×	body	160	valid
19.0ms	224×	body	80	valid