Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

sample29.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
4.0ms	79×	body	80	invalid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4924	15
1	4924	15

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (- (* (/ 2.0 t) (+ (/ 1 z) 1.0)) 2.0))
0.2b	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`associate-l`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`pow1`
3×	`associate-+r+` `flip3-+` `flip-+` `distribute-lft-out`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `frac-add` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--`

Counts

2 → 59

Calls

2 calls:

17.0ms	(+ (/ x y) (- (* (/ 2.0 t) (+ (/ 1 z) 1.0)) 2.0))
16.0ms	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

series19.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (/ x y) (- (* (/ 2.0 t) (+ (/ 1 z) 1.0)) 2.0))
5.0ms	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

simplify22.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5413	932

prune112.0ms

Filtered

52 candidates to 65 candidates (-25.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (- (* 2.0 (/ (+ (/ 1 z) 1.0) t)) 2.0))
0.1b	(/ (+ (/ 1 z) 1.0) t)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`distribute-lft-out`
7×	`add-log-exp`
5×	`div-inv` `associate-/l*`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r*`
2×	`pow1` `flip3-+` `frac-add` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--`

Counts

2 → 54

Calls

2 calls:

16.0ms	(+ (/ x y) (- (* 2.0 (/ (+ (/ 1 z) 1.0) t)) 2.0))
11.0ms	(/ (+ (/ 1 z) 1.0) t)

series18.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (/ x y) (- (* 2.0 (/ (+ (/ 1 z) 1.0) t)) 2.0))
4.0ms	(/ (+ (/ 1 z) 1.0) t)

simplify31.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5140	876

prune87.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t))) (cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t))))
0.6b	(cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t)))
0.6b	(cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t)))
0.6b	(cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

5.0ms	(* (cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t))) (cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t))))
9.0ms	(cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t)))
9.0ms	(cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t)))
9.0ms	(cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t))) (cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t))))
23.0ms	(cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t)))
23.0ms	(cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t)))
24.0ms	(cbrt (* 2.0 (/ (+ (/ 1 z) 1.0) t)))

simplify34.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5038	1103

prune198.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Merged error: 0.0b

Counts

82 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
6.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

11.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(* (* z 2.0) (- 1.0 t))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series32.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.0ms	(* (* z 2.0) (- 1.0 t))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify36.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5028	957

prune80.0ms

Filtered

51 candidates to 69 candidates (-35.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	2	2
Picked	0	1	1
Done	1	2	3
Total	69	6	75

Merged error: 0b

Counts

75 → 6

regimes465.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample796.0ms

Algorithm

intervals

Results

411.0ms	8000×	body	80	valid
116.0ms	2311×	body	80	invalid

Details

analyze1.3s

sample29.0ms

simplify50.0ms

prune12.0ms

localize10.0ms

rewrite34.0ms

series19.0ms

simplify22.0ms

prune112.0ms

localize10.0ms

rewrite28.0ms

series18.0ms

simplify31.0ms

prune87.0ms

localize14.0ms

rewrite33.0ms

series106.0ms

simplify34.0ms

prune198.0ms

localize11.0ms

rewrite26.0ms

series32.0ms

simplify36.0ms

prune80.0ms

regimes465.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample796.0ms

Profiling