Details

sample315.0ms

Algorithm

intervals

Results

204.0ms	59×	body	640	valid
54.0ms	125×	body	1280	valid
19.0ms	256×	pre	80	true
4.0ms	23×	body	320	valid
2.0ms	42×	body	80	valid
1.0ms	7×	body	160	valid

simplify435.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	9
1	70	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 11.5b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (tan (+ y z)) (tan a))
0.1b	(+ x (- (tan (+ y z)) (tan a)))
1.3b	(tan (+ y z))

rewrite20.0ms

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:

6.0ms	(- (tan (+ y z)) (tan a))
5.0ms	(+ x (- (tan (+ y z)) (tan a)))
6.0ms	(tan (+ y z))

series102.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (tan (+ y z)) (tan a))
45.0ms	(+ x (- (tan (+ y z)) (tan a)))
25.0ms	(tan (+ y z))

simplify63.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5182	570

prune101.0ms

Filtered

39 candidates to 51 candidates (-30.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	43	8	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	8	52

Merged error: 0.1b

Counts

52 → 8

localize17.0ms

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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

9.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
4.0ms	(+ (tan y) (tan z))
13.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
5.0ms	(* (tan y) (tan z))

series222.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
20.0ms	(+ (tan y) (tan z))
125.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
21.0ms	(* (tan y) (tan z))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4994	1565
1	4994	1565

prune182.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	94	13	107

Merged error: 0.1b

Counts

107 → 13

localize29.0ms

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)) (* (tan y) (tan z)))
0.3b	(pow (* (tan y) (tan z)) 3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
44×	`tan-quot`
23×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `pow-prod-down`
14×	`associate-r/` `associate-l/`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`cube-div` `pow-unpow` `*-commutative`
2×	`pow-pow` `pow-plus` `pow-exp` `rem-cube-cbrt` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
11.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
5.0ms	(pow (* (tan y) (tan z)) 3)

series109.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (tan y) (tan z))
21.0ms	(* (tan y) (tan z))
32.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
35.0ms	(pow (* (tan y) (tan z)) 3)

simplify37.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5072	1037

prune208.0ms

Filtered

77 candidates to 128 candidates (-66.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	128	13	141

Merged error: 0.0b

Counts

141 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
106×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
23×	`associate-/r*`
19×	`add-exp-log` `distribute-lft-out`
16×	`associate-/r/`
14×	`tan-quot`
13×	`add-cbrt-cube`
9×	`add-log-exp`
8×	`div-exp`
7×	`pow1` `div-inv`
6×	`flip3-+` `flip-+` `associate-/l*`
5×	`frac-add`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `associate-+r+` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-times` `associate-+r-` `sub-neg` `flip3--` `pow-flip` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 176

Calls

4 calls:

30.0ms	(+ x (- (/ 1 (/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z)))) (tan a)))
5.0ms	(* (tan y) (tan z))
11.0ms	(/ 1 (/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z))))
8.0ms	(/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ x (- (/ 1 (/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z)))) (tan a)))
21.0ms	(* (tan y) (tan z))
56.0ms	(/ 1 (/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z))))
58.0ms	(/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5002	3855

prune184.0ms

Filtered

118 candidates to 188 candidates (-59.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	188	13	201

Merged error: 0.0b

Counts

201 → 13

regimes1.0s

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	20	22
1	20	22

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.7s	3828×	body	1280	valid
540.0ms	8000×	pre	80	true
508.0ms	1996×	body	640	valid
117.0ms	684×	body	320	valid
62.0ms	1209×	body	80	valid
35.0ms	283×	body	160	valid

Details

sample315.0ms

simplify435.0ms

prune6.0ms

localize13.0ms

rewrite20.0ms

series102.0ms

simplify63.0ms

prune101.0ms

localize17.0ms

rewrite34.0ms

series222.0ms

simplify47.0ms

prune182.0ms

localize29.0ms

rewrite31.0ms

series109.0ms

simplify37.0ms

prune208.0ms

localize17.0ms

rewrite61.0ms

series258.0ms

simplify71.0ms

prune184.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

Profiling