Details

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 50.140381%

Results

12.0ms	45×	body	1280	valid
7.0ms	41×	body	640	valid
6.0ms	144×	body	80	valid
3.0ms	21×	body	320	valid
0.0ms	5×	body	160	valid

simplify366.0ms

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: 0.3b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
0.2b	(- 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:

6.0ms	(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
2.0ms	(- 1.0 (* (tan x) (tan x)))
5.0ms	(* (tan x) (tan x))
7.0ms	(* (tan x) (tan x))

series86.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
10.0ms	(- 1.0 (* (tan x) (tan x)))
27.0ms	(* (tan x) (tan x))
18.0ms	(* (tan x) (tan x))

simplify44.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (33.0ms)

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

prune181.0ms

Filtered

77 candidates to 117 candidates (-51.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	107	10	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	10	118

Merged error: 0.1b

Counts

118 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (sqrt 1.0) (tan x))
0.2b	(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
0.2b	(+ (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))
10.0ms	(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
4.0ms	(+ (sqrt 1.0) (tan x))
5.0ms	(* (tan x) (tan x))

series43.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (sqrt 1.0) (tan x))
20.0ms	(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
7.0ms	(+ (sqrt 1.0) (tan x))
9.0ms	(* (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

prune167.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 0.0b

Counts

111 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

12.0ms	(* (log (exp (+ (sqrt 1.0) (tan x)))) (- (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)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (log (exp (+ (sqrt 1.0) (tan x)))) (- (sqrt 1.0) (tan x)))
9.0ms	(+ (sqrt 1.0) (tan x))
9.0ms	(* (tan x) (tan x))
14.0ms	(exp (+ (sqrt 1.0) (tan x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	315	631
1	1277	547
2	5002	527

prune175.0ms

Filtered

63 candidates to 98 candidates (-55.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 1.0 (* (tan x) (tan x)))
0.2b	(* (tan x) (tan x))
0.5b	(pow (tan x) 6)
12.1b	(cbrt (pow (tan x) 6))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

2.0ms	(- 1.0 (* (tan x) (tan x)))
5.0ms	(* (tan x) (tan x))
3.0ms	(pow (tan x) 6)
2.0ms	(cbrt (pow (tan x) 6))

series45.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (* (tan x) (tan x)))
11.0ms	(* (tan x) (tan x))
16.0ms	(pow (tan x) 6)
9.0ms	(cbrt (pow (tan x) 6))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	253	406
1	1007	344
2	5002	322

prune98.0ms

Filtered

54 candidates to 85 candidates (-57.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

regimes290.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	14
1	15	14

end0.0ms

sample3.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 50.140381%

Results

386.0ms	1482×	body	1280	valid
219.0ms	1273×	body	640	valid
169.0ms	4300×	body	80	valid
77.0ms	635×	body	320	valid
26.0ms	310×	body	160	valid

Details

sample2.2s

simplify366.0ms

prune4.0ms

localize10.0ms

rewrite24.0ms

series86.0ms

simplify44.0ms

prune181.0ms

localize11.0ms

rewrite26.0ms

series43.0ms

simplify49.0ms

prune167.0ms

localize15.0ms

rewrite28.0ms

series49.0ms

simplify44.0ms

prune175.0ms

localize11.0ms

rewrite14.0ms

series45.0ms

simplify44.0ms

prune98.0ms

regimes290.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.0s

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