Details

sample190.0ms

Algorithm

intervals

Results

109.0ms	131×	body	1280	valid
27.0ms	62×	body	640	valid
12.0ms	256×	pre	80	true
7.0ms	22×	body	320	valid
3.0ms	32×	body	80	valid
2.0ms	9×	body	160	valid

simplify27.0ms

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: 12.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
4.7b	(tan (+ y z))

rewrite22.0ms

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:

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

series302.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(+ x (- (tan (+ y z)) (tan a)))
119.0ms	(- (tan (+ y z)) (tan a))
58.0ms	(tan (+ y z))

simplify92.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (85.0ms)

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

prune231.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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

rewrite149.0ms

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:

3.0ms	(+ (tan y) (tan z))
79.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
51.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))

series966.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (tan y) (tan z))
356.0ms	(+ 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))
101.0ms	(* (tan y) (tan z))

simplify78.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (50.0ms)

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

prune697.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
41×	`tan-quot`
37×	`add-sqr-sqrt`
33×	`*-un-lft-identity` `prod-diff`
27×	`add-cube-cbrt`
20×	`add-exp-log` `times-frac` `add-cbrt-cube`
19×	`frac-times` `pow-prod-down`
13×	`associate-r/` `associate-l/`
11×	`fma-neg`
10×	`prod-exp` `cbrt-unprod`
9×	`difference-of-squares`
8×	`associate-/r/`
7×	`associate-r` `associate-l`
6×	`add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `div-inv`
3×	`*-commutative`
2×	`pow-plus` `unswap-sqr`
1×	`pow2` `sub-neg` `diff-log` `swap-sqr` `frac-sub` `distribute-lft-out--`

Counts

4 → 158

Calls

4 calls:

28.0ms	(- (/ (* (+ (tan y) (tan z)) (fma (tan y) (tan z) 1)) (- 1 (* (* (tan y) (tan z)) (* (tan y) (tan z))))) (tan a))
5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
24.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

953.0ms	(- (/ (* (+ (tan y) (tan z)) (fma (tan y) (tan z) 1)) (- 1 (* (* (tan y) (tan z)) (* (tan y) (tan z))))) (tan a))
97.0ms	(* (tan y) (tan z))
97.0ms	(* (tan y) (tan z))
122.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

simplify96.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	650	2711
1	2820	2194
2	5002	2186

prune611.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos y) (sin z))
0.2b	(- (/ (/ (fma (sin y) (cos z) (* (cos y) (sin z))) (* (cos y) (cos z))) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(* (tan y) (tan z))
0.3b	(/ (fma (sin y) (cos z) (* (cos y) (sin z))) (* (cos y) (cos z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

136×	`times-frac`
109×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
100×	`add-cube-cbrt`
90×	`prod-diff`
30×	`fma-neg`
21×	`associate-/r/`
17×	`div-inv`
13×	`add-exp-log` `cos-mult` `add-cbrt-cube`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`tan-quot` `flip3--` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`frac-times` `sub-neg` `frac-2neg` `diff-log` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `frac-sub` `distribute-lft-out--`

Counts

4 → 205

Calls

4 calls:

4.0ms	(* (cos y) (sin z))
56.0ms	(- (/ (/ (fma (sin y) (cos z) (* (cos y) (sin z))) (* (cos y) (cos z))) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))
4.0ms	(/ (fma (sin y) (cos z) (* (cos y) (sin z))) (* (cos y) (cos z)))

series702.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (cos y) (sin z))
386.0ms	(- (/ (/ (fma (sin y) (cos z) (* (cos y) (sin z))) (* (cos y) (cos z))) (- 1 (* (tan y) (tan z)))) (tan a))
101.0ms	(* (tan y) (tan z))
170.0ms	(/ (fma (sin y) (cos z) (* (cos y) (sin z))) (* (cos y) (cos z)))

simplify114.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	823	5187
1	3133	4245
2	5001	4197

prune855.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes295.0ms

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	27	18
1	27	18

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.1s	3906×	body	1280	valid
940.0ms	2019×	body	640	valid
390.0ms	8000×	pre	80	true
209.0ms	682×	body	320	valid
101.0ms	1094×	body	80	valid
67.0ms	299×	body	160	valid