Details

sample312.0ms

Algorithm

intervals

Results

201.0ms	65×	body	640	valid
57.0ms	129×	body	1280	valid
18.0ms	256×	pre	80	true
3.0ms	16×	body	320	valid
2.0ms	41×	body	80	valid
1.0ms	5×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	33	5
3	39	5
4	50	5
5	70	5
6	99	5
7	124	5
8	166	5
9	259	5
10	260	5
11	260	5

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 13.0b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (tan (+ y z)) (tan a))
0.2b	(+ x (- (tan (+ y z)) (tan a)))
3.2b	(tan (+ y z))

rewrite26.0ms

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` `associate-+r+` `diff-log` `sum-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

13.0ms	(- (tan (+ y z)) (tan a))
5.0ms	(+ x (- (tan (+ y z)) (tan a)))
6.0ms	(tan (+ y z))

series100.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (tan (+ y z)) (tan a))
39.0ms	(+ x (- (tan (+ y z)) (tan a)))
25.0ms	(tan (+ y z))

simplify37.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	196	346
1	467	335
2	1316	334
3	5002	334

prune90.0ms

Filtered

51 candidates to 39 candidates (23.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	7	52

Merged error: 0.1b

Counts

52 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-log-exp`
7×	`tan-quot`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `flip3--` `times-frac` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

4.0ms	(+ (tan y) (tan z))
12.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
15.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
5.0ms	(* (tan y) (tan z))

series285.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (tan y) (tan z))
119.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
125.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
21.0ms	(* (tan y) (tan z))

simplify73.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	367	860
1	1074	821
2	3057	814
3	5001	814

prune131.0ms

Filtered

79 candidates to 60 candidates (24.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	77	9	86

Merged error: 0.1b

Counts

86 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
0.2b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a)))
0.2b	(* (sin y) (sin z))
0.3b	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

18.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
18.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a)))
5.0ms	(* (sin y) (sin z))
8.0ms	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
119.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a)))
9.0ms	(* (sin y) (sin z))
23.0ms	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	438	1203
1	1830	1082
2	5001	1082

prune115.0ms

Filtered

87 candidates to 61 candidates (29.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	87	9	96

Merged error: 0.1b

Counts

96 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ x (log (exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))))
0.2b	(* (tan y) (tan z))
0.5b	(exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
2.2b	(log (exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

15.0ms	(+ x (log (exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))))
5.0ms	(* (tan y) (tan z))
12.0ms	(exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
12.0ms	(log (exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ x (log (exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))))
21.0ms	(* (tan y) (tan z))
134.0ms	(exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
118.0ms	(log (exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

simplify58.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	306	1112
1	824	1026
2	2302	1024
3	5001	1024

prune116.0ms

Filtered

91 candidates to 67 candidates (26.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

regimes1.0s

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 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	3833×	body	1280	valid
525.0ms	8000×	pre	80	true
501.0ms	1970×	body	640	valid
132.0ms	726×	body	320	valid
61.0ms	1191×	body	80	valid
33.0ms	280×	body	160	valid

Details

sample312.0ms

simplify23.0ms

prune6.0ms

localize14.0ms

rewrite26.0ms

series100.0ms

simplify37.0ms

prune90.0ms

localize16.0ms

rewrite37.0ms

series285.0ms

simplify73.0ms

prune131.0ms

localize26.0ms

rewrite50.0ms

series265.0ms

simplify50.0ms

prune115.0ms

localize19.0ms

rewrite46.0ms

series398.0ms

simplify58.0ms

prune116.0ms

regimes1.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.5s

Profiling