Details

sample169.0ms

Algorithm

intervals

Results

88.0ms	120×	body	1280	valid
29.0ms	66×	body	640	valid
11.0ms	256×	pre	80	true
7.0ms	26×	body	320	valid
3.0ms	36×	body	80	valid
2.0ms	8×	body	160	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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))

rewrite23.0ms

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:

9.0ms	(+ x (- (tan (+ y z)) (tan a)))
8.0ms	(- (tan (+ y z)) (tan a))
4.0ms	(tan (+ y z))

series556.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(+ x (- (tan (+ y z)) (tan a)))
132.0ms	(- (tan (+ y z)) (tan a))
289.0ms	(tan (+ y z))

simplify102.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (94.0ms)

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

prune265.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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))

rewrite159.0ms

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:

50.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
3.0ms	(+ (tan y) (tan z))
82.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
8.0ms	(* (tan y) (tan z))

series1.0s

Counts

4 → 12

Calls

4 calls:

417.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
104.0ms	(+ (tan y) (tan z))
385.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
107.0ms	(* (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	5002	3151

prune719.0ms

Pruning

12 alts after pruning (12 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))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

225×	`*-un-lft-identity`
186×	`add-sqr-sqrt`
140×	`associate-+r+`
138×	`prod-diff`
120×	`times-frac`
100×	`add-cube-cbrt`
72×	`difference-of-squares`
56×	`cbrt-prod`
32×	`distribute-lft-out`
26×	`sqr-pow`
13×	`distribute-lft-out--`
12×	`tan-quot`
9×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`cube-div` `associate-/r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-times` `pow-unpow` `cbrt-div` `flip3--` `fma-def` `associate-r/` `associate-r` `associate-l` `associate-l/` `flip--` `div-inv`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `cbrt-unprod` `rem-cube-cbrt`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `sub-neg` `flip3-+` `pow1/3` `diff-log` `*-commutative` `rem-cbrt-cube` `flip-+` `unswap-sqr`

Counts

4 → 232

Calls

4 calls:

211.0ms	(+ 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))
3.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

series728.0ms

Counts

4 → 12

Calls

4 calls:

385.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a)))
140.0ms	(pow (* (tan y) (tan z)) 3)
102.0ms	(* (tan y) (tan z))
100.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

simplify111.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	990	4872
1	3287	4403
2	5003	4150

prune867.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
56×	`associate-+r+`
54×	`prod-diff`
53×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
36×	`times-frac`
17×	`add-log-exp`
14×	`distribute-lft-out`
6×	`tan-quot` `pow1` `add-exp-log` `fma-def` `associate-/r/` `add-cbrt-cube`
5×	`exp-prod` `sum-log`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `associate-r` `associate-l` `flip--` `div-inv` `rem-exp-log`
2×	`+-commutative` `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 → 136

Calls

4 calls:

3.0ms	(+ (tan y) (tan z))
80.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
5.0ms	(* (tan y) (tan z))
249.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

series1.0s

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (tan y) (tan z))
367.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
98.0ms	(* (tan y) (tan z))
440.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

simplify66.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	625	2206
1	1944	1985
2	5001	1775

prune616.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes293.0ms

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	29	20
1	29	20

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.1s	3908×	body	1280	valid
892.0ms	1972×	body	640	valid
348.0ms	8000×	pre	80	true
205.0ms	692×	body	320	valid
101.0ms	1138×	body	80	valid
58.0ms	290×	body	160	valid