Details

sample79.0ms

Algorithm

intervals

Results

26.0ms	53×	body	1280	valid
19.0ms	52×	body	640	valid
8.0ms	149×	body	80	valid
7.0ms	33×	body	320	valid
4.0ms	91×	body	80	nan
3.0ms	21×	body	160	valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (8.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	106	6
4	304	4
5	774	4
6	4142	4
7	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 11.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
6.3b	(pow (/ x (+ x y)) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

11.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series404.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(/ (pow (/ x (+ x y)) x) x)
41.0ms	(/ x (+ x y))
231.0ms	(pow (/ x (+ x y)) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	537	1436
1	2640	1406
2	5002	1406

prune340.0ms

Filtered

181 candidates to 131 candidates (72.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	4	182

Merged error: 0.0b

Counts

182 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 y)) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

4.0ms

(/ (exp (* -1 y)) x)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(/ (exp (* -1 y)) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	114	186
1	303	172
2	1435	169
3	5001	169

prune62.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Merged error: 0b

Counts

35 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (exp y))
0.0b	(/ 1 (* x (exp y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`pow1`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`div-exp` `prod-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `pow-prod-down` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `div-inv` `inv-pow` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

5.0ms	(* x (exp y))
6.0ms	(/ 1 (* x (exp y)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (exp y))
21.0ms	(/ 1 (* x (exp y)))

simplify101.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	173	200
1	786	167
2	4230	160
3	5001	160

prune65.0ms

Filtered

52 candidates to 28 candidates (53.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	53	6	59

Merged error: 0b

Counts

59 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (exp y))
0.0b	(* (/ 1 x) (/ 1 (exp y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`times-frac`
31×	`add-exp-log` `*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`div-exp`
16×	`prod-exp` `add-cbrt-cube`
13×	`associate-r` `associate-l`
9×	`rec-exp` `1-exp` `unswap-sqr`
7×	`pow1`
6×	`pow-flip`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`exp-prod` `pow-prod-down` `associate-/r` `div-inv` `associate-/l` `inv-pow`
2×	`add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `un-div-inv` `*-commutative`

Counts

2 → 104

Calls

2 calls:

4.0ms	(/ 1 (exp y))
14.0ms	(* (/ 1 x) (/ 1 (exp y)))

series30.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ 1 (exp y))
21.0ms	(* (/ 1 x) (/ 1 (exp y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	410	576
1	1605	470
2	5001	426

prune113.0ms

Filtered

110 candidates to 58 candidates (52.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	110	6	116

Merged error: 0b

Counts

116 → 6

regimes71.0ms

Accuracy

93.6% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 12.3b

bsearch110.0ms

Steps

Iters	Range		Point
11	7.676089037612765e-09	3991136236531.992	9.66028324651152
10	-1.5001761934896456	-4.075249742848689e-16	-1.474949217478339

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

sample2.1s

Algorithm

intervals

Results

789.0ms	1552×	body	1280	valid
442.0ms	1435×	body	640	valid
285.0ms	4834×	body	80	valid
178.0ms	866×	body	320	valid
134.0ms	2973×	body	80	nan
56.0ms	435×	body	160	valid

Details

sample79.0ms

simplify117.0ms

prune4.0ms

localize6.0ms

rewrite31.0ms

series404.0ms

simplify74.0ms

prune340.0ms

localize5.0ms

rewrite5.0ms

series20.0ms

simplify52.0ms

prune62.0ms

localize5.0ms

rewrite12.0ms

series53.0ms

simplify101.0ms

prune65.0ms

localize6.0ms

rewrite22.0ms

series30.0ms

simplify50.0ms

prune113.0ms

regimes71.0ms

bsearch110.0ms

simplify2.0ms

end0.0ms

sample2.1s

Profiling