Details

sample204.0ms

Algorithm

intervals

Results

95.0ms	115×	body	1280	valid
45.0ms	82×	body	640	valid
25.0ms	256×	pre	80	true
7.0ms	23×	body	320	valid
4.0ms	29×	body	80	valid
2.0ms	7×	body	160	valid

simplify22.0ms

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: 13.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
3.4b	(tan (+ y z))

rewrite30.0ms

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:

14.0ms	(+ x (- (tan (+ y z)) (tan a)))
9.0ms	(- (tan (+ y z)) (tan a))
3.0ms	(tan (+ y z))

series319.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(+ x (- (tan (+ y z)) (tan a)))
127.0ms	(- (tan (+ y z)) (tan a))
53.0ms	(tan (+ y z))

simplify103.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (95.0ms)

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

prune272.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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

rewrite166.0ms

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:

4.0ms	(+ (tan y) (tan z))
88.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
56.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))

series1.0s

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ (tan y) (tan z))
381.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
424.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
106.0ms	(* (tan y) (tan z))

simplify81.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	676	4072
1	2087	3376
2	5001	3265

prune738.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
0.2b	(* (tan y) (tan z))
0.3b	(pow (* (tan y) (tan z)) 3)
28.8b	(cbrt (pow (* (tan y) (tan z)) 3))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

276×	`*-un-lft-identity`
233×	`add-sqr-sqrt`
161×	`times-frac`
138×	`prod-diff`
114×	`add-cube-cbrt`
98×	`difference-of-squares`
72×	`cbrt-prod`
46×	`fma-neg`
40×	`distribute-lft-out`
34×	`sqr-pow`
17×	`distribute-lft-out--`
13×	`tan-quot`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
6×	`cube-div` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`frac-times` `pow-unpow` `cbrt-div` `associate-r/` `associate-r` `associate-l` `associate-l/`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `pow1/3` `diff-log` `*-commutative` `frac-sub` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 274

Calls

4 calls:

144.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
5.0ms	(* (tan y) (tan z))
4.0ms	(pow (* (tan y) (tan z)) 3)
3.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

series741.0ms

Counts

4 → 12

Calls

4 calls:

404.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
99.0ms	(* (tan y) (tan z))
134.0ms	(pow (* (tan y) (tan z)) 3)
104.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

simplify126.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	792	6079
1	2976	4670
2	5001	4635

prune870.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(* (tan y) (tan z))
2.6b	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

154×	`*-un-lft-identity`
108×	`prod-diff`
107×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
85×	`times-frac`
56×	`associate-+r+`
25×	`distribute-lft-out`
18×	`fma-neg`
17×	`add-log-exp`
14×	`associate-/r/`
8×	`flip3--` `flip--`
7×	`div-inv`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`tan-quot` `exp-prod`
4×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
3×	`fma-def` `diff-log` `associate-r` `associate-l` `rem-exp-log` `distribute-lft-out--`
2×	`associate-+r-` `sub-neg` `difference-of-squares`
1×	`+-commutative` `frac-times` `flip3-+` `exp-diff` `associate-r/` `exp-sum` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 208

Calls

4 calls:

85.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
54.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))
265.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

series1.3s

Counts

4 → 12

Calls

4 calls:

366.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
407.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
97.0ms	(* (tan y) (tan z))
451.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

simplify80.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	641	4254
1	1986	3535
2	5002	3304

prune849.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes508.0ms

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	22	13
1	22	13

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.2s	3848×	body	1280	valid
997.0ms	2028×	body	640	valid
747.0ms	8000×	pre	80	true
241.0ms	672×	body	320	valid
160.0ms	1178×	body	80	valid
67.0ms	274×	body	160	valid