Details

analyze17.4s

Algorithm

Search

True	Other	False	Iter
0%	0.2%	99.8%	0
0%	0.2%	99.8%	1
0%	0.2%	99.8%	2
0%	0.2%	99.8%	3
0%	0.2%	99.8%	4
0%	0.2%	99.8%	5
0%	0.2%	99.8%	6
0%	0.2%	99.8%	7
0%	0.2%	99.8%	8
0%	0.2%	99.8%	9
0%	0.2%	99.8%	10
0%	0.2%	99.8%	11
0%	0.2%	99.8%	12
0%	0.2%	99.8%	13
0%	0.2%	99.8%	14

sample122.0ms

Algorithm

intervals

Results

53.0ms	126×	body	1280	valid
29.0ms	256×	pre	80	true
17.0ms	66×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	34×	body	80	valid
1.0ms	11×	body	160	valid

simplify409.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	185	9
1	185	9

prune6.0ms

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: 13.9b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (tan (+ y z)) (tan a))
0.1b	(+ x (- (tan (+ y z)) (tan a)))
4.2b	(tan (+ y z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`sub-neg` `tan-sum` `diff-log` `sum-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 40

Calls

3 calls:

7.0ms	(- (tan (+ y z)) (tan a))
15.0ms	(+ x (- (tan (+ y z)) (tan a)))
6.0ms	(tan (+ y z))

series111.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (tan (+ y z)) (tan a))
44.0ms	(+ x (- (tan (+ y z)) (tan a)))
27.0ms	(tan (+ y z))

simplify69.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4916	561
1	4916	561

prune107.0ms

Filtered

39 candidates to 49 candidates (-25.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	40	9	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	9	50

Merged error: 0.1b

Counts

50 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(+ (tan y) (tan z))
0.2b	(* (tan y) (tan z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`times-frac`
9×	`tan-quot`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`distribute-lft-out`
4×	`associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*` `associate-/l/`
2×	`flip3--` `flip3-+` `frac-add` `associate-/r/` `flip--` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `frac-times` `sub-neg` `frac-2neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `sum-log` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

8.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
12.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
4.0ms	(+ (tan y) (tan z))
5.0ms	(* (tan y) (tan z))

series238.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
130.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
22.0ms	(+ (tan y) (tan z))
24.0ms	(* (tan y) (tan z))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5234	1556

prune185.0ms

Filtered

74 candidates to 97 candidates (-31.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	95	11	106

Merged error: 0.0b

Counts

106 → 11

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin y) (cos z))
0.1b	(* (sin z) (cos y))
0.2b	(* (tan y) (tan z))
0.2b	(/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (* (cos y) (cos z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r` `associate-l`
4×	`tan-quot` `prod-exp` `sin-cos-mult` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `pow-prod-down` `-commutative` `associate-/l/` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `div-exp`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `associate-l/` `frac-add` `clear-num` `associate-/r*` `associate-/r/` `cos-mult` `flip-+` `div-inv`

Counts

4 → 84

Calls

4 calls:

4.0ms	(* (sin y) (cos z))
7.0ms	(* (sin z) (cos y))
5.0ms	(* (tan y) (tan z))
10.0ms	(/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (* (cos y) (cos z)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (sin y) (cos z))
9.0ms	(* (sin z) (cos y))
23.0ms	(* (tan y) (tan z))
36.0ms	(/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (* (cos y) (cos z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5012	1019

prune148.0ms

Filtered

70 candidates to 96 candidates (-37.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	96	11	107

Merged error: 0.0b

Counts

107 → 11

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin z) (cos y))
0.2b	(* (tan y) (tan z))
0.2b	(* (/ 1 (cos y)) (/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (cos z)))
0.2b	(/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (cos z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
34×	`times-frac`
32×	`add-exp-log` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`add-cbrt-cube`
19×	`associate-r` `associate-l`
10×	`pow1` `prod-exp`
9×	`div-exp`
8×	`unswap-sqr`
6×	`cbrt-unprod`
5×	`cbrt-undiv`
4×	`tan-quot` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `sin-cos-mult` `div-inv` `associate-/l/` `associate-/l*`
2×	`frac-times` `rec-exp` `1-exp` `associate-r/` `associate-l/`
1×	`frac-2neg` `flip3-+` `frac-add` `clear-num` `flip-+`

Counts

4 → 126

Calls

4 calls:

5.0ms	(* (sin z) (cos y))
5.0ms	(* (tan y) (tan z))
14.0ms	(* (/ 1 (cos y)) (/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (cos z)))
10.0ms	(/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (cos z))

series98.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (sin z) (cos y))
26.0ms	(* (tan y) (tan z))
34.0ms	(* (/ 1 (cos y)) (/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (cos z)))
29.0ms	(/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (cos z))

simplify70.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4962	2087
1	4962	2087

prune144.0ms

Filtered

99 candidates to 138 candidates (-39.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	139	10	149

Merged error: 0.0b

Counts

149 → 10

regimes832.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	32
1	63	32

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	3863×	body	1280	valid
532.0ms	8000×	pre	80	true
495.0ms	1999×	body	640	valid
117.0ms	685×	body	320	valid
62.0ms	1152×	body	80	valid
37.0ms	301×	body	160	valid

Details

analyze17.4s

sample122.0ms

simplify409.0ms

prune6.0ms

localize13.0ms

rewrite29.0ms

series111.0ms

simplify69.0ms

prune107.0ms

localize16.0ms

rewrite32.0ms

series238.0ms

simplify50.0ms

prune185.0ms

localize29.0ms

rewrite28.0ms

series77.0ms

simplify44.0ms

prune148.0ms

localize30.0ms

rewrite38.0ms

series98.0ms

simplify70.0ms

prune144.0ms

regimes832.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling