Details

sample113.0ms

Algorithm

intervals

Results

54.0ms	108×	body	1280	valid
24.0ms	81×	body	640	valid
13.0ms	273×	body	80	nan
8.0ms	42×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	7×	body	80	valid

simplify17.0ms

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: 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)))

rewrite24.0ms

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)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
124.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify129.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (115.0ms)

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

prune189.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:

25.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* 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

prune287.0ms

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

63×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
50×	`log-prod`
45×	`times-frac`
35×	`add-cube-cbrt`
21×	`associate-+r+`
14×	`add-exp-log`
13×	`pow1`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube` `distribute-lft-out`
5×	`rem-log-exp` `associate-/r*`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `div-exp` `log1p-expm1-u` `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 → 150

Calls

4 calls:

6.0ms	(/ 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:

23.0ms	(/ 1 (- 1.0 x))
177.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
69.0ms	(log (/ 1 (- 1.0 x)))
46.0ms	(log (+ 1.0 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	504	961
1	1640	858
2	5002	757

prune286.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- 1.0 x)))
2.0b	(log (+ (pow 1.0 3) (pow x 3)))
4.5b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
4.5b	(log (- 1.0 x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`log-prod`
14×	`add-sqr-sqrt`
12×	`pow1`
10×	`add-cube-cbrt` `log-div`
9×	`distribute-lft-out`
8×	`log-pow`
7×	`add-exp-log`
5×	`associate-+r+`
4×	`expm1-log1p-u` `unpow-prod-down` `fma-def` `flip3-+` `cube-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`associate-+l+` `rem-log-exp`
2×	`associate-+l-` `associate-+r-` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `sum-cubes`

Counts

4 → 89

Calls

4 calls:

12.0ms	(+ (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- 1.0 x)))
12.0ms	(log (+ (pow 1.0 3) (pow x 3)))
6.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
4.0ms	(log (- 1.0 x))

series541.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(+ (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- 1.0 x)))
252.0ms	(log (+ (pow 1.0 3) (pow x 3)))
70.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
46.0ms	(log (- 1.0 x))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	505	864
1	1694	803
2	5002	792

prune369.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes19.0ms

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	16	10
1	16	10

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.7s	3398×	body	1280	valid
731.0ms	2534×	body	640	valid
407.0ms	8176×	body	80	nan
232.0ms	1250×	body	320	valid
79.0ms	636×	body	160	valid
15.0ms	182×	body	80	valid