Details

sample315.0ms

Algorithm

intervals

Results

26.0ms	65×	body	1280	valid
11.0ms	164×	body	80	valid
10.0ms	41×	body	640	valid
3.0ms	18×	body	320	valid
2.0ms	14×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	7
1	31	6
2	39	6
3	50	6
4	53	6
5	53	6

prune9.0ms

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: 0.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.1b	(/ 1.0 (tan B))
0.2b	(/ 1.0 (sin B))
0.2b	(* x (/ 1.0 (tan B)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`tan-quot` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--`

Counts

4 → 101

Calls

4 calls:

7.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
4.0ms	(/ 1.0 (tan B))
20.0ms	(/ 1.0 (sin B))
10.0ms	(* x (/ 1.0 (tan B)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
40.0ms	(/ 1.0 (tan B))
19.0ms	(/ 1.0 (sin B))
125.0ms	(* x (/ 1.0 (tan B)))

simplify47.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	386	627
1	1479	584
2	5001	584

prune313.0ms

Filtered

113 candidates to 88 candidates (77.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	101	12	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	12	114

Merged error: 0.0b

Counts

114 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.1b	(/ (* x 1.0) (tan B))
0.2b	(/ 1.0 (sin B))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `div-inv` `difference-of-squares`
1×	`tan-quot` `sub-neg` `flip3--` `diff-log` `prod-exp` `associate-/r/` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 65

Calls

3 calls:

11.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
5.0ms	(/ (* x 1.0) (tan B))
4.0ms	(/ 1.0 (sin B))

series253.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
109.0ms	(/ (* x 1.0) (tan B))
18.0ms	(/ 1.0 (sin B))

simplify36.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	316	461
1	1175	428
2	5001	428

prune199.0ms

Filtered

74 candidates to 55 candidates (74.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	75	11	86

Merged error: 0.0b

Counts

86 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
0.1b	(* x (cos B))
0.2b	(/ 1 (sin B))
0.2b	(/ (* x (cos B)) (sin B))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`add-exp-log` `times-frac`
13×	`add-cbrt-cube`
7×	`pow1` `div-inv`
6×	`associate-/r*` `add-log-exp`
4×	`div-exp` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `associate-r` `associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `distribute-lft-out--`
1×	`sub-neg` `rec-exp` `flip3--` `pow-flip` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `inv-pow` `sub-div` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

10.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
4.0ms	(* x (cos B))
4.0ms	(/ 1 (sin B))
5.0ms	(/ (* x (cos B)) (sin B))

series243.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
41.0ms	(* x (cos B))
13.0ms	(/ 1 (sin B))
96.0ms	(/ (* x (cos B)) (sin B))

simplify45.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	309	612
1	1342	540
2	5002	535

prune231.0ms

Filtered

104 candidates to 65 candidates (62.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series733.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
181.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune239.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

regimes86.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

704.0ms	1726×	body	1280	valid
382.0ms	1451×	body	640	valid
290.0ms	4933×	body	80	valid
123.0ms	702×	body	320	valid
45.0ms	331×	body	160	valid