Details

sample193.0ms

Algorithm

intervals

Results

99.0ms	119×	body	1280	valid
31.0ms	62×	body	640	valid
27.0ms	256×	pre	80	true
6.0ms	17×	body	320	valid
5.0ms	17×	body	160	valid
4.0ms	41×	body	80	valid

simplify18.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
4.7b	(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)))
8.0ms	(- (tan (+ y z)) (tan a))
3.0ms	(tan (+ y z))

series272.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ x (- (tan (+ y z)) (tan a)))
107.0ms	(- (tan (+ y z)) (tan a))
51.0ms	(tan (+ y z))

simplify37.0ms

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

prune149.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite124.0ms

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:

72.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
3.0ms	(+ (tan y) (tan z))
42.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))

series860.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
88.0ms	(+ (tan y) (tan z))
363.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
87.0ms	(* (tan y) (tan z))

simplify74.0ms

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

prune291.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

3.0ms	(+ (tan y) (tan z))
82.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
5.0ms	(/ (* (tan y) (sin z)) (cos z))
5.0ms	(* (tan y) (sin z))

series610.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (tan y) (tan z))
368.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
90.0ms	(/ (* (tan y) (sin z)) (cos z))
64.0ms	(* (tan y) (sin z))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	382	781
1	1351	707
2	5002	698

prune331.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`times-frac`
8×	`tan-quot` `add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `distribute-lft-out`
4×	`associate-/l*`
3×	`flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+` `associate-/l/`
2×	`+-commutative` `frac-add` `sum-log` `associate-/r/`
1×	`cbrt-undiv` `frac-times` `flip3--` `frac-2neg` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

18.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
11.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
3.0ms	(+ (tan y) (tan z))
5.0ms	(* (tan y) (tan z))

series651.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
205.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
89.0ms	(+ (tan y) (tan z))
90.0ms	(* (tan y) (tan z))

simplify104.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	383	942
1	1350	898
2	4359	898
3	5002	898

prune311.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes298.0ms

Accuracy

0% (0.2b 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	19	11
1	19	11

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.3s	3897×	body	1280	valid
1.0s	2025×	body	640	valid
634.0ms	8000×	pre	80	true
239.0ms	670×	body	320	valid
129.0ms	1122×	body	80	valid
77.0ms	286×	body	160	valid