Details

sample106.0ms

Algorithm

intervals

Results

45.0ms	116×	body	1280	valid
18.0ms	81×	body	640	valid
14.0ms	256×	pre	80	true
3.0ms	21×	body	320	valid
1.0ms	29×	body	80	valid
1.0ms	9×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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: 13.2b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
5.1b	(tan (+ y z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-log-exp`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `tan-sum` `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 → 72

Calls

3 calls:

7.0ms	(+ x (- (tan (+ y z)) (tan a)))
8.0ms	(- (tan (+ y z)) (tan a))
4.0ms	(tan (+ y z))

series331.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ x (- (tan (+ y z)) (tan a)))
131.0ms	(- (tan (+ y z)) (tan a))
64.0ms	(tan (+ y z))

simplify92.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	276	685
1	732	540
2	3128	507
3	5001	488

prune241.0ms

Filtered

81 candidates to 59 candidates (72.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	73	8	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	8	82

Merged error: 0.1b

Counts

82 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.1b	(+ (tan y) (tan z))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.3b	(* (tan y) (tan z))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
108×	`prod-diff`
107×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
85×	`times-frac`
56×	`associate-+r+`
24×	`distribute-lft-out`
18×	`fma-neg`
14×	`associate-/r/`
13×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`tan-quot` `div-inv`
6×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `sum-log`
2×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 207

Calls

4 calls:

18.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
5.0ms	(+ (tan y) (tan z))
15.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
6.0ms	(* (tan y) (tan z))

series1.0s

Counts

4 → 12

Calls

4 calls:

390.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
108.0ms	(+ (tan y) (tan z))
437.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
106.0ms	(* (tan y) (tan z))

simplify83.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	676	4072
1	2087	3376
2	5001	3265

prune692.0ms

Filtered

219 candidates to 132 candidates (60.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	210	9	219
Fresh	7	0	7
Picked	1	0	1
Done	0	0	0
Total	218	9	227

Merged error: 0.0b

Counts

227 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(exp (* (tan y) (tan z)))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (log (exp (* (tan y) (tan z)))))) (tan a))
0.3b	(* (tan y) (tan z))
2.5b	(log (exp (* (tan y) (tan z))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

211×	`*-un-lft-identity`
144×	`add-sqr-sqrt`
113×	`times-frac`
102×	`prod-diff`
89×	`add-cube-cbrt`
34×	`fma-neg` `difference-of-squares`
33×	`distribute-lft-out--`
28×	`distribute-lft-out`
23×	`pow1`
19×	`log-pow`
9×	`add-log-exp`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`tan-quot` `flip3--` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`log-prod` `associate-r` `associate-l`
2×	`exp-prod` `exp-to-pow`
1×	`frac-times` `sub-neg` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 205

Calls

4 calls:

4.0ms	(exp (* (tan y) (tan z)))
28.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (log (exp (* (tan y) (tan z)))))) (tan a))
6.0ms	(* (tan y) (tan z))
2.0ms	(log (exp (* (tan y) (tan z))))

series805.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(exp (* (tan y) (tan z)))
445.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (log (exp (* (tan y) (tan z)))))) (tan a))
110.0ms	(* (tan y) (tan z))
108.0ms	(log (exp (* (tan y) (tan z))))

simplify78.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	542	4427
1	1684	3338
2	5001	3278

prune561.0ms

Filtered

217 candidates to 97 candidates (44.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	217	9	226

Merged error: 0.0b

Counts

226 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (tan y) (tan z))
2.5b	(log (exp (* (tan y) (tan z))))
2.5b	(log (exp (* (tan y) (tan z))))
2.5b	(log (exp (* (tan y) (tan z))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`pow1` `add-cube-cbrt` `log-prod` `*-un-lft-identity` `log-pow`
7×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
4×	`tan-quot` `expm1-log1p-u` `log1p-expm1-u`
3×	`exp-prod` `exp-to-pow` `rem-log-exp` `associate-r` `associate-l`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

5.0ms	(* (tan y) (tan z))
2.0ms	(log (exp (* (tan y) (tan z))))
2.0ms	(log (exp (* (tan y) (tan z))))
2.0ms	(log (exp (* (tan y) (tan z))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (tan y) (tan z))
109.0ms	(log (exp (* (tan y) (tan z))))
111.0ms	(log (exp (* (tan y) (tan z))))
103.0ms	(log (exp (* (tan y) (tan z))))

simplify67.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	141	456
1	401	403
2	977	403
3	2209	399
4	5001	399

prune434.0ms

Filtered

83 candidates to 68 candidates (81.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	82	10	92

Merged error: 0.0b

Counts

92 → 10

regimes454.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	26
1	26	26

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	3927×	body	1280	valid
465.0ms	2004×	body	640	valid
321.0ms	8000×	pre	80	true
101.0ms	665×	body	320	valid
52.0ms	1105×	body	80	valid
34.0ms	299×	body	160	valid