Details

sample206.0ms

Algorithm

intervals

Results

112.0ms	128×	body	1280	valid
35.0ms	55×	body	640	valid
20.0ms	256×	pre	80	true
10.0ms	27×	body	320	valid
5.0ms	35×	body	80	valid
3.0ms	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: 11.5b

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))
3.7b	(tan (+ y z))

rewrite28.0ms

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

series284.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ x (- (tan (+ y z)) (tan a)))
113.0ms	(- (tan (+ y z)) (tan a))
50.0ms	(tan (+ y z))

simplify90.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (83.0ms)

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

prune228.0ms

Pruning

8 alts after pruning (8 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))))
0.1b	(+ (tan y) (tan z))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.3b	(* (tan y) (tan z))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
73×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
61×	`times-frac`
54×	`prod-diff`
18×	`fma-neg`
17×	`distribute-lft-out`
10×	`associate-/r/`
9×	`tan-quot`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `flip3--` `flip--`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`fma-def` `associate-r` `associate-l` `associate-/r*` `associate-/l/`
2×	`flip3-+` `frac-add` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `frac-times` `sub-neg` `frac-2neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `sum-log` `*-commutative` `frac-sub` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 169

Calls

4 calls:

11.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
3.0ms	(+ (tan y) (tan z))
50.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))

series769.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
90.0ms	(+ (tan y) (tan z))
380.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
91.0ms	(* (tan y) (tan z))

simplify71.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	558	2912
1	1972	2364
2	5001	2337

prune543.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
0.2b	(/ (* (sin y) (tan z)) (cos y))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
0.3b	(* (sin y) (tan z))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity`
138×	`add-sqr-sqrt`
100×	`times-frac`
90×	`prod-diff`
83×	`add-cube-cbrt`
34×	`difference-of-squares`
30×	`fma-neg`
25×	`distribute-lft-out`
17×	`distribute-lft-out--`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/` `add-log-exp`
6×	`pow1`
5×	`tan-quot` `flip3--` `flip--` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `frac-add` `clear-num` `sum-log` `-commutative` `frac-sub` `flip-+` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

4 → 201

Calls

4 calls:

3.0ms	(+ (tan y) (tan z))
5.0ms	(/ (* (sin y) (tan z)) (cos y))
98.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
5.0ms	(* (sin y) (tan z))

series680.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ (tan y) (tan z))
106.0ms	(/ (* (sin y) (tan z)) (cos y))
399.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
80.0ms	(* (sin y) (tan z))

simplify86.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	671	4168
1	2374	3272
2	5001	3230

prune621.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
0.2b	(/ (* (sin y) (tan z)) (cos y))
0.2b	(fma (+ (tan y) (tan z)) (/ 1 (- 1 (/ (* (sin y) (tan z)) (cos y)))) (- (tan a)))
0.3b	(* (sin y) (tan z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`add-cube-cbrt`
6×	`pow1` `add-log-exp`
4×	`tan-quot` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `frac-add` `clear-num` `sum-log` `-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l/` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

3.0ms	(+ (tan y) (tan z))
5.0ms	(/ (* (sin y) (tan z)) (cos y))
0.0ms	(fma (+ (tan y) (tan z)) (/ 1 (- 1 (/ (* (sin y) (tan z)) (cos y)))) (- (tan a)))
4.0ms	(* (sin y) (tan z))

series606.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (tan y) (tan z))
102.0ms	(/ (* (sin y) (tan z)) (cos y))
332.0ms	(fma (+ (tan y) (tan z)) (/ 1 (- 1 (/ (* (sin y) (tan z)) (cos y)))) (- (tan a)))
79.0ms	(* (sin y) (tan z))

simplify39.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	339	658
1	1257	580
2	5002	579

prune381.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes649.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	26
1	36	26
2	36	26

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.5s	3886×	body	1280	valid
1.1s	2011×	body	640	valid
594.0ms	8000×	pre	80	true
262.0ms	674×	body	320	valid
155.0ms	1159×	body	80	valid
76.0ms	270×	body	160	valid