Details

sample106.0ms

Algorithm

intervals

Results

51.0ms	124×	body	1280	valid
14.0ms	59×	body	640	valid
11.0ms	256×	pre	80	true
4.0ms	28×	body	320	valid
2.0ms	33×	body	80	valid
1.0ms	12×	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: 14.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
1.6b	(tan (+ y z))

rewrite30.0ms

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)))
15.0ms	(- (tan (+ y z)) (tan a))
4.0ms	(tan (+ y z))

series330.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(+ x (- (tan (+ y z)) (tan a)))
131.0ms	(- (tan (+ y z)) (tan a))
57.0ms	(tan (+ y z))

simplify105.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (97.0ms)

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

prune242.0ms

Filtered

81 candidates to 59 candidates (72.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	10	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	10	82

Merged error: 0.1b

Counts

82 → 10

localize17.0ms

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

rewrite62.0ms

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:

20.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
5.0ms	(+ (tan y) (tan z))
19.0ms	(- (/ (+ (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:

396.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
104.0ms	(+ (tan y) (tan z))
436.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
108.0ms	(* (tan y) (tan z))

simplify88.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (57.0ms)

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

prune680.0ms

Filtered

219 candidates to 132 candidates (60.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	212	7	219
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	218	11	229

Merged error: 0.0b

Counts

229 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(* (tan y) (tan z))
0.6b	(pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3)
1.7b	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
89×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
54×	`prod-diff`
53×	`times-frac`
18×	`cbrt-prod` `fma-neg`
12×	`unpow-prod-down` `cube-prod` `distribute-lft-out`
10×	`difference-of-squares`
8×	`associate-/r/`
7×	`tan-quot` `pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
6×	`cube-div` `add-log-exp`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`pow-unpow` `cbrt-div` `associate-r` `associate-l` `frac-sub`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`frac-times` `pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 179

Calls

4 calls:

16.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
6.0ms	(* (tan y) (tan z))
15.0ms	(pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3)
15.0ms	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3))

series1.7s

Counts

4 → 12

Calls

4 calls:

432.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
108.0ms	(* (tan y) (tan z))
673.0ms	(pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3)
452.0ms	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3))

simplify87.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	620	3635
1	2348	3061
2	5002	3026

prune527.0ms

Filtered

191 candidates to 101 candidates (52.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	191	11	202

Merged error: 0.0b

Counts

202 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
13×	`add-log-exp`
12×	`prod-diff`
8×	`tan-quot`
7×	`distribute-lft-out`
6×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`flip3-+` `associate-r` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `diff-log` `frac-sub` `distribute-lft-out--`
1×	`frac-times` `sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

11.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
5.0ms	(+ (tan y) (tan z))
17.0ms	(- (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (tan a))
6.0ms	(* (tan y) (tan z))

series931.0ms

Counts

4 → 12

Calls

4 calls:

327.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
103.0ms	(+ (tan y) (tan z))
394.0ms	(- (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (tan a))
106.0ms	(* (tan y) (tan z))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	430	1342
1	1417	1154
2	5001	1136

prune324.0ms

Filtered

107 candidates to 78 candidates (72.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	110	8	118

Merged error: 0.0b

Counts

118 → 8

regimes524.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	3896×	body	1280	valid
463.0ms	1943×	body	640	valid
325.0ms	8000×	pre	80	true
113.0ms	712×	body	320	valid
55.0ms	1141×	body	80	valid
34.0ms	308×	body	160	valid