Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	102×	body	640	valid
5.0ms	27×	body	1280	valid
4.0ms	36×	body	320	valid
3.0ms	71×	body	80	valid
1.0ms	20×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 14.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.2b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
16.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
30.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
2.0ms	(/ 1.0 (+ x 1.0))
3.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
12.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	496	865
1	1681	827
2	5001	816

prune191.0ms

Filtered

126 candidates to 92 candidates (27.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	3	127

Merged error: 0.2b

Counts

127 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (pow x 5)) (/ 1 (pow x 3)))
0.2b	(/ 1 (pow x 3))
0.3b	(/ 1 (pow x 7))
0.4b	(/ 1 (pow x 5))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
73×	`*-un-lft-identity`
63×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-down`
31×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
12×	`cube-prod` `sqr-pow`
10×	`add-cbrt-cube`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
7×	`div-inv` `distribute-lft-out`
6×	`add-log-exp`
4×	`pow1` `cube-mult` `unpow3`
3×	`cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `inv-pow`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+`

Counts

4 → 198

Calls

4 calls:

43.0ms	(+ (/ 1 (pow x 5)) (/ 1 (pow x 3)))
5.0ms	(/ 1 (pow x 3))
4.0ms	(/ 1 (pow x 7))
5.0ms	(/ 1 (pow x 5))

series19.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (/ 1 (pow x 5)) (/ 1 (pow x 3)))
3.0ms	(/ 1 (pow x 3))
4.0ms	(/ 1 (pow x 7))
4.0ms	(/ 1 (pow x 5))

simplify60.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	469	925
1	2563	731
2	5001	731

prune205.0ms

Filtered

210 candidates to 82 candidates (61.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	209	4	213

Merged error: 0.0b

Counts

213 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3)))
0.0b	(+ (/ 1 (pow x 5)) (pow x -3))
0.3b	(/ 1 (pow x 7))
0.4b	(/ 1 (pow x 5))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
42×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
22×	`add-exp-log`
14×	`associate-/r*`
12×	`div-exp` `distribute-lft-out`
11×	`add-log-exp`
8×	`add-cbrt-cube` `div-inv` `sqr-pow`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
4×	`pow1` `sum-log`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `+-commutative` `pow-flip` `frac-2neg` `frac-add` `clear-num` `inv-pow`
1×	`associate-+r+`

Counts

4 → 140

Calls

4 calls:

27.0ms	(+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3)))
13.0ms	(+ (/ 1 (pow x 5)) (pow x -3))
4.0ms	(/ 1 (pow x 7))
5.0ms	(/ 1 (pow x 5))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3)))
10.0ms	(+ (/ 1 (pow x 5)) (pow x -3))
4.0ms	(/ 1 (pow x 7))
4.0ms	(/ 1 (pow x 5))

simplify52.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	438	844
1	2054	734
2	5002	734

prune180.0ms

Filtered

152 candidates to 68 candidates (55.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	153	3	156

Merged error: 0.0b

Counts

156 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ 1 (pow x 5)))
0.3b	(/ 1 (pow x 7))
0.4b	(/ 1 (pow x 5))
0.7b	(log (exp (/ 1 (pow x 5))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
65×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
50×	`exp-prod`
42×	`unpow-prod-down`
26×	`log-pow`
22×	`add-exp-log`
14×	`associate-/r*` `sqr-pow`
12×	`div-exp`
8×	`add-cbrt-cube`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
5×	`pow1` `add-log-exp`
4×	`div-inv`
3×	`log-prod`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `inv-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 176

Calls

4 calls:

5.0ms	(exp (/ 1 (pow x 5)))
4.0ms	(/ 1 (pow x 7))
5.0ms	(/ 1 (pow x 5))
7.0ms	(log (exp (/ 1 (pow x 5))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(exp (/ 1 (pow x 5)))
4.0ms	(/ 1 (pow x 7))
4.0ms	(/ 1 (pow x 5))
4.0ms	(log (exp (/ 1 (pow x 5))))

simplify42.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	346	814
1	1340	734
2	5001	630

prune285.0ms

Filtered

188 candidates to 101 candidates (46.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	188	3	191

Merged error: 0.0b

Counts

191 → 3

regimes41.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 17.3b

bsearch42.0ms

Steps

Iters	Range		Point
9	0.6495860155997162	78382807.01447463	64821897.23441457
9	-55789565557.28435	-75016.22636117585	-135090214.2000213

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	25
1	50	25

end0.0ms

sample952.0ms

Algorithm

intervals

Results

372.0ms	2763×	body	640	valid
155.0ms	845×	body	1280	valid
144.0ms	1402×	body	320	valid
89.0ms	2342×	body	80	valid
44.0ms	648×	body	160	valid

Details

sample34.0ms

simplify20.0ms

prune2.0ms

localize12.0ms

rewrite60.0ms

series20.0ms

simplify48.0ms

prune191.0ms

localize13.0ms

rewrite64.0ms

series19.0ms

simplify60.0ms

prune205.0ms

localize12.0ms

rewrite54.0ms

series23.0ms

simplify52.0ms

prune180.0ms

localize14.0ms

rewrite28.0ms

series39.0ms

simplify42.0ms

prune285.0ms

regimes41.0ms

bsearch42.0ms

simplify2.0ms

end0.0ms

sample952.0ms

Profiling