Details

sample165.0ms

Algorithm

intervals

Results

100.0ms	103×	body	1280	valid
35.0ms	74×	body	640	valid
13.0ms	52×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid
1.0ms	14×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	11	5
2	11	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.8b	(log (- 1.0 x))
5.8b	(log (+ 1.0 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

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

series219.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
48.0ms	(log (- 1.0 x))
46.0ms	(log (+ 1.0 x))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	452	686
1	1669	638
2	5002	623

prune221.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.8b	(log (- 1.0 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt` `times-frac`
7×	`pow1`
5×	`add-exp-log` `log-prod` `log-pow`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`expm1-log1p-u` `flip3--` `div-sub` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

10.0ms	(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
3.0ms	(log (- 1.0 x))

series190.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
43.0ms	(log (- 1.0 x))

simplify45.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	421	805
1	1495	750
2	5001	742

prune210.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`times-frac`
12×	`add-cube-cbrt`
8×	`distribute-lft-out--`
6×	`associate-/l*`
5×	`pow1`
4×	`log-pow` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 44

Calls

1 calls:

11.0ms

(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series120.0ms

Counts

1 → 3

Calls

1 calls:

120.0ms

(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify119.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	224	1075
1	766	1012
2	3841	1011
3	5001	1009

prune140.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b

(log1p (expm1 (/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))

0.0b

(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
18×	`times-frac`
13×	`add-cube-cbrt`
8×	`distribute-lft-out--`
6×	`pow1` `associate-/l*`
4×	`add-exp-log` `log-pow` `add-cbrt-cube` `difference-of-squares`
3×	`associate-/r*`
2×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log1p-udef` `flip3--` `frac-2neg` `div-sub` `log1p-expm1` `div-exp` `clear-num` `flip--` `div-inv`

Counts

2 → 55

Calls

2 calls:

0.0ms

(log1p (expm1 (/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))

11.0ms

(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series373.0ms

Counts

2 → 6

Calls

2 calls:

251.0ms

(log1p (expm1 (/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))

122.0ms

(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify115.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	237	1304
1	783	1209
2	3860	1207
3	5001	1203

prune192.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes78.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	15	15

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.2s	3415×	body	1280	valid
1.2s	2429×	body	640	valid
329.0ms	1312×	body	320	valid
144.0ms	8000×	pre	80	true
90.0ms	621×	body	160	valid
13.0ms	223×	body	80	valid