Details

sample184.0ms

Algorithm

intervals

Results

109.0ms	135×	body	1280	valid
24.0ms	55×	body	640	valid
13.0ms	256×	pre	80	true
9.0ms	29×	body	320	valid
3.0ms	36×	body	80	valid
0.0ms	1×	body	160	valid

simplify23.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
2.7b	(tan (+ y z))

rewrite48.0ms

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:

17.0ms	(+ x (- (tan (+ y z)) (tan a)))
19.0ms	(- (tan (+ y z)) (tan a))
7.0ms	(tan (+ y z))

series271.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(+ x (- (tan (+ y z)) (tan a)))
108.0ms	(- (tan (+ y z)) (tan a))
48.0ms	(tan (+ y z))

simplify91.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (84.0ms)

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

prune321.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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

rewrite292.0ms

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:

153.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
9.0ms	(+ (tan y) (tan z))
16.0ms	(* (tan y) (tan z))
102.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))

series864.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
86.0ms	(+ (tan y) (tan z))
86.0ms	(* (tan y) (tan z))
363.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))

simplify83.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	676	4072
1	2094	3376
2	5002	3265

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.6b	(pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3)
2.8b	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3))

rewrite292.0ms

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))
100.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
90.0ms	(pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3)
78.0ms	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3))

series1.5s

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (tan y) (tan z))
407.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
632.0ms	(pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3)
379.0ms	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3))

simplify99.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	620	3625
1	2355	3053
2	5002	3023

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`tan-quot`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cube-div` `frac-times` `pow-unpow` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `cbrt-unprod`
2×	`pow-pow` `pow-exp` `*-commutative` `rem-cube-cbrt` `unswap-sqr`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `fma-udef` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma (/ (+ (tan y) (tan z)) (- 1 (pow (* (tan y) (tan z)) 3))) (fma (fma (tan y) (tan z) 1) (* (tan y) (tan z)) 1) (+ (- (tan a)) x))
17.0ms	(* (tan y) (tan z))
17.0ms	(* (tan y) (tan z))
14.0ms	(pow (* (tan y) (tan z)) 3)

series3.3s

Counts

4 → 12

Calls

4 calls:

3.0s	(fma (/ (+ (tan y) (tan z)) (- 1 (pow (* (tan y) (tan z)) 3))) (fma (fma (tan y) (tan z) 1) (* (tan y) (tan z)) 1) (+ (- (tan a)) x))
109.0ms	(* (tan y) (tan z))
99.0ms	(* (tan y) (tan z))
151.0ms	(pow (* (tan y) (tan z)) 3)

simplify73.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	427	935
1	2124	871
2	5001	870

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

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	22	13
1	22	13

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.2s	3976×	body	1280	valid
918.0ms	1913×	body	640	valid
516.0ms	8000×	pre	80	true
228.0ms	708×	body	320	valid
116.0ms	1128×	body	80	valid
58.0ms	275×	body	160	valid