Details

sample293.0ms

Algorithm

intervals

Results

14.0ms	52×	body	1280	valid
5.0ms	35×	body	640	valid
5.0ms	140×	body	80	valid
3.0ms	23×	body	320	valid
0.0ms	6×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	9
1	21	9
2	26	9
3	34	9
4	37	9
5	37	9

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.4b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
0.2b	(- 1.0 (* (tan x) (tan x)))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
12×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`tan-quot`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
5×	`difference-of-squares`
4×	`associate-/l*`
3×	`associate-/r*`
2×	`pow2` `frac-times` `flip3--` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 105

Calls

4 calls:

6.0ms	(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
3.0ms	(- 1.0 (* (tan x) (tan x)))
5.0ms	(* (tan x) (tan x))
7.0ms	(* (tan x) (tan x))

series217.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
35.0ms	(- 1.0 (* (tan x) (tan x)))
31.0ms	(* (tan x) (tan x))
60.0ms	(* (tan x) (tan x))

simplify47.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	314	909
1	1157	838
2	5001	824

prune251.0ms

Filtered

117 candidates to 77 candidates (65.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	103	14	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	14	118

Merged error: 0.1b

Counts

118 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
0.2b	(+ (sqrt 1.0) (tan x))
0.2b	(- (sqrt 1.0) (tan x))
0.3b	(* (tan x) (tan x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-l`
5×	`frac-times`
4×	`tan-quot` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`
3×	`sub-neg` `associate-r/` `swap-sqr` `associate-l/`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sqrt-prod` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `pow2` `pow-plus` `diff-log` `sum-log` `pow-sqr` `pow-prod-up`

Counts

4 → 89

Calls

4 calls:

11.0ms	(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
4.0ms	(+ (sqrt 1.0) (tan x))
4.0ms	(- (sqrt 1.0) (tan x))
5.0ms	(* (tan x) (tan x))

series202.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
31.0ms	(+ (sqrt 1.0) (tan x))
36.0ms	(- (sqrt 1.0) (tan x))
33.0ms	(* (tan x) (tan x))

simplify49.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	328	693
1	1582	618
2	5001	607

prune216.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	101	14	115

Merged error: 0.0b

Counts

115 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (sqrt 1.0) (tan x))
0.2b	(- (sqrt 1.0) (tan x))
0.3b	(* (tan x) (tan x))
0.3b	(exp (+ (sqrt 1.0) (tan x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`pow1` `add-log-exp`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
4×	`tan-quot` `exp-prod`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`sum-log` `rem-exp-log` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `pow2` `frac-times` `sub-neg` `flip3--` `flip3-+` `pow-plus` `diff-log` `associate-r/` `exp-sum` `pow-prod-down` `associate-l/` `prod-exp` `sqrt-prod` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

5.0ms	(+ (sqrt 1.0) (tan x))
4.0ms	(- (sqrt 1.0) (tan x))
5.0ms	(* (tan x) (tan x))
5.0ms	(exp (+ (sqrt 1.0) (tan x)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (sqrt 1.0) (tan x))
38.0ms	(- (sqrt 1.0) (tan x))
30.0ms	(* (tan x) (tan x))
63.0ms	(exp (+ (sqrt 1.0) (tan x)))

simplify123.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	239	389
1	858	352
2	3906	344
3	5001	338

prune206.0ms

Filtered

81 candidates to 54 candidates (66.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	13	13
Picked	1	0	1
Done	0	0	0
Total	81	14	95

Merged error: 0.0b

Counts

95 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (tan x) (sqrt 1.0))
0.2b	(- (sqrt 1.0) (tan x))
0.3b	(* (tan x) (tan x))
0.4b	(pow (tan x) 3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`pow1`
11×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
5×	`tan-quot`
4×	`difference-of-squares`
3×	`unpow-prod-down` `pow-unpow` `cube-prod` `swap-sqr` `associate-r` `associate-l`
2×	`sub-neg` `flip3--` `diff-log` `sqrt-prod` `flip--` `distribute-lft-out--`
1×	`cube-div` `pow2` `cube-mult` `frac-times` `pow-to-exp` `pow-pow` `pow-plus` `unpow3` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

5.0ms	(- (tan x) (sqrt 1.0))
7.0ms	(- (sqrt 1.0) (tan x))
5.0ms	(* (tan x) (tan x))
3.0ms	(pow (tan x) 3)

series151.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (tan x) (sqrt 1.0))
35.0ms	(- (sqrt 1.0) (tan x))
34.0ms	(* (tan x) (tan x))
44.0ms	(pow (tan x) 3)

simplify56.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	283	400
1	1357	359
2	5002	348

prune214.0ms

Filtered

94 candidates to 58 candidates (61.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	94	14	108

Merged error: 0.0b

Counts

108 → 14

regimes209.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	21
1	22	21

end0.0ms

sample902.0ms

Algorithm

intervals

Results

354.0ms	1478×	body	1280	valid
191.0ms	1255×	body	640	valid
151.0ms	4332×	body	80	valid
70.0ms	629×	body	320	valid
23.0ms	306×	body	160	valid