Details

analyze705.0ms

Algorithm: search

sample42.0ms

Algorithm

intervals

Results

15.0ms	58×	body	1280	valid
6.0ms	136×	body	80	valid
6.0ms	32×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	12×	body	160	valid

simplify361.0ms

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

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

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:

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

series68.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (* (tan x) (tan x)))
32.0ms	(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
9.0ms	(* (tan x) (tan x))
18.0ms	(* (tan x) (tan x))

simplify48.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	314	909
1	1157	838
2	5002	824

prune197.0ms

Filtered

77 candidates to 117 candidates (-51.9%)

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: 0.0b

Counts

118 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:

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

series40.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (sqrt 1.0) (tan x))
7.0ms	(- (sqrt 1.0) (tan x))
17.0ms	(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
9.0ms	(* (tan x) (tan x))

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

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

prune175.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	103	12	115

Merged error: 0.0b

Counts

115 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
37×	`times-frac`
30×	`add-cube-cbrt`
27×	`associate-r`
16×	`difference-of-squares`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`sqrt-prod` `distribute-lft-out--`
7×	`associate-l`
6×	`associate-/l*` `add-log-exp`
4×	`tan-quot` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-times` `swap-sqr` `associate-l/` `prod-exp` `associate-/r` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `div-inv` `associate-/l/`
1×	`pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `clear-num` `pow-sqr` `pow-prod-up` `distribute-lft-out`

Counts

4 → 135

Calls

4 calls:

8.0ms	(/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x))))
4.0ms	(- (sqrt 1.0) (tan x))
16.0ms	(* (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))))
5.0ms	(* (tan x) (tan x))

series85.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x))))
7.0ms	(- (sqrt 1.0) (tan x))
42.0ms	(* (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))))
9.0ms	(* (tan x) (tan x))

simplify80.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	561	1675
1	2800	1512
2	5002	1496

prune257.0ms

Filtered

98 candidates to 147 candidates (-50.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	146	13	159

Merged error: 0.0b

Counts

159 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (log (exp (* (tan x) (tan x)))))))
0.2b	(* (tan x) (tan x))
0.4b	(exp (* (tan x) (tan x)))
1.7b	(log (exp (* (tan x) (tan x))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
39×	`associate-r`
31×	`times-frac`
22×	`add-cube-cbrt`
20×	`pow1`
13×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
10×	`difference-of-squares`
9×	`log-pow`
7×	`associate-l` `add-log-exp`
5×	`sqrt-prod` `distribute-lft-out--`
4×	`tan-quot`
3×	`frac-times` `log-prod` `flip3-+` `swap-sqr` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
2×	`exp-prod` `exp-to-pow` `associate-r/` `pow-prod-down` `associate-/r/` `-commutative`
1×	`cbrt-undiv` `pow2` `pow-plus` `div-exp` `rem-log-exp` `pow-sqr` `pow-prod-up` `div-inv` `rem-exp-log`

Counts

4 → 112

Calls

4 calls:

20.0ms	(* (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (log (exp (* (tan x) (tan x)))))))
5.0ms	(* (tan x) (tan x))
3.0ms	(exp (* (tan x) (tan x)))
2.0ms	(log (exp (* (tan x) (tan x))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (log (exp (* (tan x) (tan x)))))))
8.0ms	(* (tan x) (tan x))
15.0ms	(exp (* (tan x) (tan x)))
9.0ms	(log (exp (* (tan x) (tan x))))

simplify67.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	488	1252
1	2368	1087
2	5001	1067

prune157.0ms

Filtered

74 candidates to 124 candidates (-67.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	124	13	137

Merged error: 0.0b

Counts

137 → 13

regimes315.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	14
1	15	14

end0.0ms

analyze484.0ms

Algorithm: search

sample1.0s

Algorithm

intervals

Results

406.0ms	1577×	body	1280	valid
218.0ms	1217×	body	640	valid
168.0ms	4290×	body	80	valid
77.0ms	605×	body	320	valid
26.0ms	311×	body	160	valid

Details

analyze705.0ms

sample42.0ms

simplify361.0ms

prune4.0ms

localize23.0ms

rewrite24.0ms

series68.0ms

simplify48.0ms

prune197.0ms

localize13.0ms

rewrite26.0ms

series40.0ms

simplify50.0ms

prune175.0ms

localize10.0ms

rewrite37.0ms

series85.0ms

simplify80.0ms

prune257.0ms

localize14.0ms

rewrite36.0ms

series73.0ms

simplify67.0ms

prune157.0ms

regimes315.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze484.0ms

sample1.0s

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