Details

analyze16.8s

Algorithm: search

sample123.0ms

Algorithm

intervals

Results

61.0ms	117×	body	1280	valid
18.0ms	256×	pre	80	true
17.0ms	67×	body	640	valid
5.0ms	27×	body	320	valid
2.0ms	35×	body	80	valid
1.0ms	10×	body	160	valid

simplify384.0ms

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

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: 10.1b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
3.0b	(tan (+ y z))

rewrite20.0ms

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:

5.0ms	(+ x (- (tan (+ y z)) (tan a)))
7.0ms	(- (tan (+ y z)) (tan a))
6.0ms	(tan (+ y z))

series111.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ x (- (tan (+ y z)) (tan a)))
43.0ms	(- (tan (+ y z)) (tan a))
26.0ms	(tan (+ y z))

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

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

prune106.0ms

Filtered

39 candidates to 51 candidates (-30.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	41	10	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	10	52

Merged error: 0.1b

Counts

52 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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))
13.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
12.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))

series299.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (tan y) (tan z))
130.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
122.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
22.0ms	(* (tan y) (tan z))

simplify75.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (24.0ms)

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

prune148.0ms

Filtered

59 candidates to 79 candidates (-33.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	77	12	89

Merged error: 0.1b

Counts

89 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

7.0ms	(* (+ (tan y) (tan z)) (cos a))
5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
15.0ms	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (tan y) (tan z)) (cos a))
22.0ms	(* (tan y) (tan z))
22.0ms	(* (tan y) (tan z))
152.0ms	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))

simplify70.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	587	1304
1	2701	1144
2	5003	1128

prune180.0ms

Filtered

83 candidates to 108 candidates (-30.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	107	13	120

Merged error: 0.1b

Counts

120 → 13

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.2b	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
44×	`tan-quot`
22×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `pow-prod-down`
16×	`add-sqr-sqrt`
14×	`associate-r/` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 112

Calls

4 calls:

5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
11.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (tan y) (tan z))
22.0ms	(* (tan y) (tan z))
26.0ms	(* (tan y) (tan z))
32.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	311	770
1	1417	646
2	5001	625

prune141.0ms

Filtered

75 candidates to 124 candidates (-65.3%)

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: 0.1b

Counts

137 → 13

regimes1.2s

Accuracy

0% (0.2b 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	39	35
1	44	35
2	44	35

end0.0ms

analyze15.9s

Algorithm: search

sample3.0s

Algorithm

intervals

Results

1.6s	3885×	body	1280	valid
514.0ms	8000×	pre	80	true
455.0ms	1982×	body	640	valid
114.0ms	712×	body	320	valid
55.0ms	1142×	body	80	valid
32.0ms	279×	body	160	valid

Details

analyze16.8s

sample123.0ms

simplify384.0ms

prune6.0ms

localize13.0ms

rewrite20.0ms

series111.0ms

simplify38.0ms

prune106.0ms

localize16.0ms

rewrite39.0ms

series299.0ms

simplify75.0ms

prune148.0ms

localize21.0ms

rewrite35.0ms

series234.0ms

simplify70.0ms

prune180.0ms

localize34.0ms

rewrite30.0ms

series102.0ms

simplify42.0ms

prune141.0ms

regimes1.2s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze15.9s

sample3.0s

Profiling