Details

sample196.0ms

Algorithm

intervals

Results

100.0ms	132×	body	1280	valid
37.0ms	69×	body	640	valid
25.0ms	256×	pre	80	true
5.0ms	16×	body	320	valid
4.0ms	35×	body	80	valid
1.0ms	4×	body	160	valid

simplify19.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`sub-neg` `tan-sum` `associate-+r+` `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 → 42

Calls

3 calls:

7.0ms	(+ x (- (tan (+ y z)) (tan a)))
7.0ms	(- (tan (+ y z)) (tan a))
3.0ms	(tan (+ y z))

series275.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ x (- (tan (+ y z)) (tan a)))
109.0ms	(- (tan (+ y z)) (tan a))
52.0ms	(tan (+ y z))

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	196	346
1	467	335
2	1316	334
3	5002	334

prune145.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-log-exp`
7×	`tan-quot`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `flip3--` `times-frac` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

69.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
3.0ms	(+ (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
40.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))

series875.0ms

Counts

4 → 12

Calls

4 calls:

328.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
89.0ms	(+ (tan y) (tan z))
90.0ms	(* (tan y) (tan z))
369.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))

simplify78.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	367	860
1	1074	821
2	3057	814
3	5001	814

prune273.0ms

Pruning

10 alts after pruning (9 fresh and 1 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))
0.1b	(+ (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (- (tan a)))
0.2b	(* (tan y) (tan z))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`times-frac`
11×	`distribute-lft-out`
10×	`tan-quot`
8×	`add-exp-log` `add-cbrt-cube`
7×	`sum-log`
6×	`pow1`
4×	`flip3-+` `frac-add` `flip-+` `associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*` `associate-/l/`
2×	`+-commutative` `distribute-rgt-neg-in` `neg-log` `associate-/r/` `distribute-neg-frac`
1×	`cbrt-undiv` `neg-sub0` `frac-times` `associate-+r-` `associate-+l+` `flip3--` `frac-2neg` `associate-r/` `div-exp` `unsub-neg` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

12.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
3.0ms	(+ (tan y) (tan z))
101.0ms	(+ (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (- (tan a)))
5.0ms	(* (tan y) (tan z))

series708.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
89.0ms	(+ (tan y) (tan z))
325.0ms	(+ (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (- (tan a)))
90.0ms	(* (tan y) (tan z))

simplify53.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	496	1217
1	1898	1161
2	5001	1139

prune342.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.2b	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
44×	`tan-quot`
22×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `pow-prod-down`
16×	`add-sqr-sqrt`
14×	`associate-r/` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 112

Calls

4 calls:

5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
7.0ms	(* (tan y) (tan z))
20.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (tan y) (tan z))
87.0ms	(* (tan y) (tan z))
88.0ms	(* (tan y) (tan z))
109.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	311	770
1	1417	646
2	5001	625

prune361.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes241.0ms

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	19	11
1	19	11

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.1s	3936×	body	1280	valid
911.0ms	1960×	body	640	valid
771.0ms	8000×	pre	80	true
238.0ms	700×	body	320	valid
145.0ms	1132×	body	80	valid
77.0ms	272×	body	160	valid