Details

sample100.0ms

Algorithm

intervals

Results

49.0ms	121×	body	1280	valid
15.0ms	66×	body	640	valid
10.0ms	256×	pre	80	true
3.0ms	22×	body	320	valid
2.0ms	36×	body	80	valid
1.0ms	11×	body	160	valid

simplify20.0ms

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: 11.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (tan (+ y z)) (tan a))
0.1b	(+ x (- (tan (+ y z)) (tan a)))
2.4b	(tan (+ y z))

rewrite16.0ms

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:

6.0ms	(- (tan (+ y z)) (tan a))
5.0ms	(+ x (- (tan (+ y z)) (tan a)))
4.0ms	(tan (+ y z))

series277.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- (tan (+ y z)) (tan a))
119.0ms	(+ x (- (tan (+ y z)) (tan a)))
49.0ms	(tan (+ y z))

simplify39.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (13.0ms)

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

prune150.0ms

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

rewrite35.0ms

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:

4.0ms	(+ (tan y) (tan z))
12.0ms	(+ 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))

series863.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (tan y) (tan z))
322.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
365.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
88.0ms	(* (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

prune282.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

18.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a)))
20.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
6.0ms	(/ (* (sin y) (tan z)) (cos y))
5.0ms	(* (sin y) (tan z))

series883.0ms

Counts

4 → 12

Calls

4 calls:

330.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a)))
378.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
98.0ms	(/ (* (sin y) (tan z)) (cos y))
76.0ms	(* (sin y) (tan z))

simplify43.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	391	1035
1	1385	960
2	5002	951

prune350.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cbrt (pow (* (sin y) (tan z)) 3)) (cos y))
0.2b	(* (sin y) (tan z))
0.3b	(pow (* (sin y) (tan z)) 3)
28.7b	(cbrt (pow (* (sin y) (tan z)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
33×	`times-frac`
30×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `associate-/l*`
10×	`add-cbrt-cube`
9×	`pow1`
6×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`
4×	`tan-quot` `associate-*r/` `add-log-exp`
3×	`cube-div` `pow-unpow` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-div` `pow-pow` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow1/3` `div-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `div-inv` `associate-/l/` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

7.0ms	(/ (cbrt (pow (* (sin y) (tan z)) 3)) (cos y))
5.0ms	(* (sin y) (tan z))
5.0ms	(pow (* (sin y) (tan z)) 3)
4.0ms	(cbrt (pow (* (sin y) (tan z)) 3))

series355.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (cbrt (pow (* (sin y) (tan z)) 3)) (cos y))
75.0ms	(* (sin y) (tan z))
105.0ms	(pow (* (sin y) (tan z)) 3)
77.0ms	(cbrt (pow (* (sin y) (tan z)) 3))

simplify57.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	350	1090
1	1565	1018
2	5001	1001

prune524.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

regimes287.0ms

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	25	15
1	25	15

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s	3915×	body	1280	valid
436.0ms	1971×	body	640	valid
305.0ms	8000×	pre	80	true
101.0ms	689×	body	320	valid
52.0ms	1130×	body	80	valid
30.0ms	295×	body	160	valid