Details

analyze689.0ms

Algorithm: search

sample44.0ms

Algorithm

intervals

Results

20.0ms	58×	body	1280	valid
6.0ms	136×	body	80	valid
5.0ms	32×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	12×	body	160	valid

simplify353.0ms

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

localize22.0ms

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:

2.0ms	(- 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))

series66.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- 1.0 (* (tan x) (tan x)))
31.0ms	(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
8.0ms	(* (tan x) (tan x))
18.0ms	(* (tan x) (tan x))

simplify47.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (32.0ms)

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

prune194.0ms

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

localize11.0ms

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))
10.0ms	(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
5.0ms	(* (tan x) (tan x))

series39.0ms

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)))
8.0ms	(* (tan x) (tan x))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

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

prune171.0ms

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

localize11.0ms

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))

series83.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x))))
7.0ms	(- (sqrt 1.0) (tan x))
41.0ms	(* (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))))
9.0ms	(* (tan x) (tan x))

simplify78.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (64.0ms)

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

prune250.0ms

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))))

rewrite35.0ms

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:

19.0ms	(* (+ (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))))

series71.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (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

prune153.0ms

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

regimes305.0ms

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

analyze470.0ms

Algorithm: search

sample1.0s

Algorithm

intervals

Results

405.0ms	1577×	body	1280	valid
205.0ms	1217×	body	640	valid
165.0ms	4290×	body	80	valid
75.0ms	605×	body	320	valid
26.0ms	311×	body	160	valid

Details

analyze689.0ms

sample44.0ms

simplify353.0ms

prune4.0ms

localize22.0ms

rewrite24.0ms

series66.0ms

simplify47.0ms

prune194.0ms

localize11.0ms

rewrite26.0ms

series39.0ms

simplify51.0ms

prune171.0ms

localize11.0ms

rewrite37.0ms

series83.0ms

simplify78.0ms

prune250.0ms

localize14.0ms

rewrite35.0ms

series71.0ms

simplify67.0ms

prune153.0ms

regimes305.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze470.0ms

sample1.0s

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