Details

sample293.0ms

Algorithm

intervals

Results

208.0ms	159×	body	80	valid
36.0ms	56×	body	1280	valid
22.0ms	52×	body	640	valid
6.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

localize13.0ms

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)))

rewrite26.0ms

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:

6.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
3.0ms	(/ 1.0 (tan B))
3.0ms	(/ 1.0 (sin B))
10.0ms	(* x (/ 1.0 (tan B)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
11.0ms	(/ 1.0 (tan B))
13.0ms	(/ 1.0 (sin B))
34.0ms	(* x (/ 1.0 (tan B)))

simplify44.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (9.0ms)

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

prune174.0ms

Filtered

113 candidates to 88 candidates (22.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	103	10	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	10	114

Merged error: 0.0b

Counts

114 → 10

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:

10.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
7.0ms	(/ (* x 1.0) (tan B))
3.0ms	(/ 1.0 (sin B))

series55.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
23.0ms	(/ (* x 1.0) (tan B))
5.0ms	(/ 1.0 (sin B))

simplify34.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	316	461
1	1175	428
2	5002	428

prune106.0ms

Filtered

74 candidates to 56 candidates (24.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	74	10	84

Merged error: 0.0b

Counts

84 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (sin B))
0.2b	(* (* x (/ 1.0 (sin B))) (cos B))
0.3b	(* x (/ 1.0 (sin B)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

3.0ms	(/ 1.0 (sin B))
6.0ms	(/ 1.0 (sin B))
7.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
7.0ms	(* x (/ 1.0 (sin B)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1.0 (sin B))
20.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
12.0ms	(* x (/ 1.0 (sin B)))

simplify49.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	315	645
1	1562	560
2	5001	560

prune142.0ms

Filtered

119 candidates to 83 candidates (30.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	119	10	129

Merged error: 0.0b

Counts

129 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (sin B))
0.2b	(* (/ 1.0 (sin B)) (cos B))
0.2b	(* x (* (/ 1.0 (sin B)) (cos B)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

3.0ms	(/ 1.0 (sin B))
3.0ms	(/ 1.0 (sin B))
6.0ms	(* (/ 1.0 (sin B)) (cos B))
7.0ms	(* x (* (/ 1.0 (sin B)) (cos B)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1.0 (sin B))
8.0ms	(* (/ 1.0 (sin B)) (cos B))
19.0ms	(* x (* (/ 1.0 (sin B)) (cos B)))

simplify43.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	317	683
1	1315	591
2	5001	591

prune117.0ms

Filtered

119 candidates to 86 candidates (27.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	119	10	129

Merged error: 0.0b

Counts

129 → 10

regimes133.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

746.0ms	1715×	body	1280	valid
375.0ms	1398×	body	640	valid
316.0ms	4971×	body	80	valid
142.0ms	712×	body	320	valid
52.0ms	383×	body	160	valid

Details

sample293.0ms

simplify15.0ms

prune12.0ms

localize13.0ms

rewrite26.0ms

series86.0ms

simplify44.0ms

prune174.0ms

localize10.0ms

rewrite21.0ms

series55.0ms

simplify34.0ms

prune106.0ms

localize10.0ms

rewrite26.0ms

series41.0ms

simplify49.0ms

prune142.0ms

localize10.0ms

rewrite22.0ms

series36.0ms

simplify43.0ms

prune117.0ms

regimes133.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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