Details

sample131.0ms

Algorithm

intervals

Results

54.0ms	131×	body	1280	valid
19.0ms	62×	body	640	valid
17.0ms	256×	pre	80	true
3.0ms	16×	body	320	valid
2.0ms	39×	body	80	valid
1.0ms	8×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	33	5
3	39	5
4	50	5
5	70	5
6	99	5
7	124	5
8	166	5
9	259	5
10	260	5
11	260	5

prune5.0ms

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: 14.9b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
2.5b	(tan (+ y z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`sub-neg` `tan-sum` `associate-+r+` `diff-log` `sum-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

5.0ms	(+ x (- (tan (+ y z)) (tan a)))
7.0ms	(- (tan (+ y z)) (tan a))
4.0ms	(tan (+ y z))

series89.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (- (tan (+ y z)) (tan a)))
35.0ms	(- (tan (+ y z)) (tan a))
15.0ms	(tan (+ y z))

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	196	346
1	467	335
2	1316	334
3	5002	334

prune183.0ms

Filtered

51 candidates to 39 candidates (23.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	7	52

Merged error: 0.2b

Counts

52 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1 (* (tan y) (tan z)))
0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(* (tan y) (tan z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
5×	`tan-quot`
3×	`sub-neg` `diff-log` `associate-r` `associate-l`
2×	`associate-+r+` `flip3--` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `frac-times` `associate-+r-` `flip3-+` `times-frac` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

3.0ms	(- 1 (* (tan y) (tan z)))
14.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
11.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))

series289.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- 1 (* (tan y) (tan z)))
126.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
117.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
21.0ms	(* (tan y) (tan z))

simplify91.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	356	871
1	1108	831
2	3700	824
3	5001	824

prune442.0ms

Filtered

78 candidates to 57 candidates (26.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	69	9	78
Fresh	6	0	6
Picked	1	0	1
Done	0	0	0
Total	76	9	85

Merged error: 0.1b

Counts

85 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.3b	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
44×	`tan-quot`
22×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `pow-prod-down`
16×	`add-sqr-sqrt`
14×	`associate-r/` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 112

Calls

4 calls:

5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
7.0ms	(* (tan y) (tan z))
10.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (tan y) (tan z))
21.0ms	(* (tan y) (tan z))
21.0ms	(* (tan y) (tan z))
29.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	311	770
1	1417	646
2	5001	625

prune1.1s

Filtered

124 candidates to 75 candidates (39.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	124	9	133

Merged error: 0.1b

Counts

133 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (/ (+ (tan y) (tan z)) (/ (- 1 (* (* (tan y) (tan y)) (* (tan z) (tan z)))) (+ 1 (* (tan y) (tan z))))) (tan a))
0.2b	(* (tan y) (tan z))
0.3b	(* (tan z) (tan z))
0.3b	(* (tan y) (tan y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
20×	`pow1`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`tan-quot`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r` `associate-l`
6×	`swap-sqr` `add-log-exp`
3×	`frac-times` `times-frac` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--`

Counts

4 → 94

Calls

4 calls:

27.0ms	(- (/ (+ (tan y) (tan z)) (/ (- 1 (* (* (tan y) (tan y)) (* (tan z) (tan z)))) (+ 1 (* (tan y) (tan z))))) (tan a))
5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan z) (tan z))
5.0ms	(* (tan y) (tan y))

series439.0ms

Counts

4 → 12

Calls

4 calls:

398.0ms	(- (/ (+ (tan y) (tan z)) (/ (- 1 (* (* (tan y) (tan y)) (* (tan z) (tan z)))) (+ 1 (* (tan y) (tan z))))) (tan a))
21.0ms	(* (tan y) (tan z))
11.0ms	(* (tan z) (tan z))
9.0ms	(* (tan y) (tan y))

simplify53.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	450	1091
1	1818	995
2	5002	961

prune947.0ms

Filtered

106 candidates to 66 candidates (37.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	105	10	115

Merged error: 0.1b

Counts

115 → 10

regimes553.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	20
1	26	20

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	3956×	body	1280	valid
516.0ms	8000×	pre	80	true
477.0ms	1972×	body	640	valid
114.0ms	688×	body	320	valid
58.0ms	1120×	body	80	valid
30.0ms	264×	body	160	valid

Details

sample131.0ms

simplify15.0ms

prune5.0ms

localize10.0ms

rewrite17.0ms

series89.0ms

simplify38.0ms

prune183.0ms

localize15.0ms

rewrite35.0ms

series289.0ms

simplify91.0ms

prune442.0ms

localize19.0ms

rewrite31.0ms

series95.0ms

simplify42.0ms

prune1.1s

localize22.0ms

rewrite45.0ms

series439.0ms

simplify53.0ms

prune947.0ms

regimes553.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

Profiling