Details

sample184.0ms

Algorithm

intervals

Results

103.0ms	120×	body	1280	valid
32.0ms	66×	body	640	valid
11.0ms	256×	pre	80	true
8.0ms	26×	body	320	valid
4.0ms	36×	body	80	valid
2.0ms	8×	body	160	valid

simplify21.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
3.3b	(tan (+ y z))

rewrite19.0ms

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:

7.0ms	(+ x (- (tan (+ y z)) (tan a)))
7.0ms	(- (tan (+ y z)) (tan a))
3.0ms	(tan (+ y z))

series292.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ x (- (tan (+ y z)) (tan a)))
116.0ms	(- (tan (+ y z)) (tan a))
55.0ms	(tan (+ y z))

simplify42.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (14.0ms)

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

prune160.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

41.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
3.0ms	(+ (tan y) (tan z))
71.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
5.0ms	(* (tan y) (tan z))

series900.0ms

Counts

4 → 12

Calls

4 calls:

374.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
93.0ms	(+ (tan y) (tan z))
338.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
95.0ms	(* (tan y) (tan z))

simplify76.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	367	860
1	1074	821
2	3057	814
3	5001	814

prune274.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a)))
0.3b	(pow (* (tan y) (tan z)) 3)
0.3b	(* (tan y) (tan z))
27.6b	(cbrt (pow (* (tan y) (tan z)) 3))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`tan-quot`
10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`cube-div`
3×	`frac-times` `pow-unpow` `cbrt-div` `associate-r/` `associate-r` `associate-l` `associate-l/`
2×	`cube-mult` `unpow-prod-down` `associate-+r+` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `sub-neg` `flip3-+` `pow1/3` `diff-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

170.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a)))
4.0ms	(pow (* (tan y) (tan z)) 3)
5.0ms	(* (tan y) (tan z))
6.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

series647.0ms

Counts

4 → 12

Calls

4 calls:

334.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a)))
129.0ms	(pow (* (tan y) (tan z)) 3)
92.0ms	(* (tan y) (tan z))
90.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	378	770
1	1672	724
2	5003	723

prune360.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
0.2b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.3b	(* (tan y) (tan z))
2.3b	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

3.0ms	(+ (tan y) (tan z))
68.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
5.0ms	(* (tan y) (tan z))
237.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

series934.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ (tan y) (tan z))
343.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
90.0ms	(* (tan y) (tan z))
406.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

simplify78.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	321	799
1	1012	736
2	3341	736
3	5001	736

prune303.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes298.0ms

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	23	15
1	23	15

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.2s	3908×	body	1280	valid
997.0ms	1972×	body	640	valid
335.0ms	8000×	pre	80	true
245.0ms	692×	body	320	valid
127.0ms	1138×	body	80	valid
71.0ms	290×	body	160	valid