Details

sample33.0ms

Algorithm

intervals

Results

14.0ms	86×	body	1280	valid
5.0ms	49×	body	640	valid
3.0ms	169×	body	80	valid
1.0ms	21×	body	320	valid
1.0ms	14×	body	160	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 29.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.5b	(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

2.0ms	(exp (* a x))
4.0ms	(- (exp (* a x)) 1.0)

series45.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
33.0ms	(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune68.0ms

Filtered

30 candidates to 20 candidates (66.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	6	31

Merged error: 8.6b

Counts

31 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
3.4b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`difference-of-squares`
14×	`*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod` `add-log-exp`
8×	`sqr-pow`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 64

Calls

4 calls:

2.0ms	(exp (* a x))
2.0ms	(exp (* a x))
2.0ms	(exp (* a x))
11.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series95.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
12.0ms	(exp (* a x))
12.0ms	(exp (* a x))
58.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify110.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	207	469
1	647	457
2	3082	456
3	5001	456

prune174.0ms

Filtered

76 candidates to 47 candidates (61.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	74	8	82

Merged error: 8.6b

Counts

82 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.2b	(sqrt (pow (exp (* a x)) 3))
0.2b	(sqrt (pow (exp (* a x)) 3))
3.4b	(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`sqrt-prod`
16×	`unpow-prod-down`
15×	`difference-of-squares`
12×	`*-un-lft-identity` `sqr-pow`
11×	`cube-prod`
10×	`add-cube-cbrt`
8×	`rem-sqrt-square` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`cube-mult` `sqrt-pow1` `pow1/2` `unpow3`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--`

Counts

4 → 88

Calls

4 calls:

2.0ms	(exp (* a x))
3.0ms	(sqrt (pow (exp (* a x)) 3))
3.0ms	(sqrt (pow (exp (* a x)) 3))
11.0ms	(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

series227.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
35.0ms	(sqrt (pow (exp (* a x)) 3))
40.0ms	(sqrt (pow (exp (* a x)) 3))
141.0ms	(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

simplify87.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	212	680
1	648	660
2	2473	658
3	5002	648

prune273.0ms

Filtered

100 candidates to 62 candidates (62.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Merged error: 8.6b

Counts

108 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (pow (exp (* a x)) 3))
0.2b	(sqrt (pow (exp (* a x)) 3))
0.2b	(sqrt (pow (exp (* a x)) 3))
3.4b	(- (pow (sqrt (pow (exp (* a x)) 3)) 3) (pow (pow 1.0 3/2) 3))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

154×	`add-sqr-sqrt`
132×	`unpow-prod-down`
108×	`cube-prod`
100×	`sqrt-prod`
96×	`difference-of-squares`
66×	`sqr-pow`
23×	`*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`rem-sqrt-square`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cube-mult` `sqrt-pow1` `pow1/2` `unpow3`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 189

Calls

4 calls:

3.0ms	(sqrt (pow (exp (* a x)) 3))
7.0ms	(sqrt (pow (exp (* a x)) 3))
3.0ms	(sqrt (pow (exp (* a x)) 3))
36.0ms	(- (pow (sqrt (pow (exp (* a x)) 3)) 3) (pow (pow 1.0 3/2) 3))

series240.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (pow (exp (* a x)) 3))
35.0ms	(sqrt (pow (exp (* a x)) 3))
40.0ms	(sqrt (pow (exp (* a x)) 3))
128.0ms	(- (pow (sqrt (pow (exp (* a x)) 3)) 3) (pow (pow 1.0 3/2) 3))

simplify73.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	360	2449
1	1107	2423
2	5001	2422

prune539.0ms

Filtered

201 candidates to 90 candidates (44.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	201	8	209

Merged error: 8.6b

Counts

209 → 8

regimes329.0ms

Accuracy

94.4% (1.2b remaining)

Error of 8.9b against oracle of 7.7b and baseline of 28.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	68
1	69	68

end0.0ms

sample926.0ms

Algorithm

intervals

Results

439.0ms	2763×	body	1280	valid
131.0ms	1321×	body	640	valid
102.0ms	5476×	body	80	valid
46.0ms	722×	body	320	valid
17.0ms	389×	body	160	valid