Details

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

11.0ms	42×	body	1280	valid
10.0ms	150×	body	80	valid
7.0ms	38×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify347.0ms

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

localize21.0ms

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))

series67.0ms

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)))
8.0ms	(* (tan x) (tan x))
18.0ms	(* (tan x) (tan x))

simplify48.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (33.0ms)

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

prune171.0ms

Filtered

77 candidates to 117 candidates (-51.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	106	11	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	11	118

Merged error: 0.1b

Counts

118 → 11

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 1.0 (* (tan x) (tan x)))
0.2b	(/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))
0.2b	(* (tan x) (tan x))
0.2b	(* (tan x) (tan x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
80×	`add-sqr-sqrt`
63×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1` `add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube` `difference-of-squares`
9×	`associate-/r/`
8×	`tan-quot`
7×	`div-exp`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
5×	`flip3--` `flip--` `div-inv`
3×	`cbrt-undiv` `associate-/l*`
2×	`pow2` `frac-times` `rec-exp` `pow-plus` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow`

Counts

4 → 165

Calls

4 calls:

3.0ms	(- 1.0 (* (tan x) (tan x)))
9.0ms	(/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))
5.0ms	(* (tan x) (tan x))
5.0ms	(* (tan x) (tan x))

series60.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (* (tan x) (tan x)))
31.0ms	(/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))
8.0ms	(* (tan x) (tan x))
11.0ms	(* (tan x) (tan x))

simplify71.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	545	2148
1	2567	1966
2	5001	1864

prune168.0ms

Filtered

90 candidates to 177 candidates (-96.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	174	3	177
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	177	11	188

Merged error: 0.0b

Counts

188 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (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))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

12.0ms	(/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))
11.0ms	(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
4.0ms	(+ (sqrt 1.0) (tan x))
5.0ms	(* (tan x) (tan x))

series76.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))
17.0ms	(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
7.0ms	(+ (sqrt 1.0) (tan x))
9.0ms	(* (tan x) (tan x))

simplify73.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	517	1120
1	2851	938
2	5001	923

prune183.0ms

Filtered

82 candidates to 117 candidates (-42.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	117	11	128

Merged error: 0.0b

Counts

128 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

4.0ms	(+ (sqrt 1.0) (tan x))
5.0ms	(* (tan x) (tan x))
5.0ms	(log (exp (+ (sqrt 1.0) (tan x))))
7.0ms	(exp (+ (sqrt 1.0) (tan x)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (sqrt 1.0) (tan x))
8.0ms	(* (tan x) (tan x))
7.0ms	(log (exp (+ (sqrt 1.0) (tan x))))
13.0ms	(exp (+ (sqrt 1.0) (tan x)))

simplify110.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	223	391
1	804	348
2	3535	340
3	5001	334

prune125.0ms

Filtered

55 candidates to 83 candidates (-50.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	83	11	94

Merged error: 0.0b

Counts

94 → 11

regimes273.0ms

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	13	12
1	13	12

end0.0ms

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

392.0ms	1509×	body	1280	valid
221.0ms	1307×	body	640	valid
164.0ms	4283×	body	80	valid
72.0ms	576×	body	320	valid
29.0ms	325×	body	160	valid

Details

sample1.8s

simplify347.0ms

prune4.0ms

localize21.0ms

rewrite24.0ms

series67.0ms

simplify48.0ms

prune171.0ms

localize8.0ms

rewrite27.0ms

series60.0ms

simplify71.0ms

prune168.0ms

localize12.0ms

rewrite35.0ms

series76.0ms

simplify73.0ms

prune183.0ms

localize14.0ms

rewrite23.0ms

series36.0ms

simplify110.0ms

prune125.0ms

regimes273.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling