Details

analyze217.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

sample21.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	12
1	13	12

prune3.0ms

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: 3.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
1.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

4.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6311	774

prune94.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.2b	(* 1.1283791670955126 (/ (exp z) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`div-exp`
3×	`cbrt-undiv` `associate-l` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `inv-pow`

Counts

4 → 103

Calls

4 calls:

5.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
4.0ms	(/ (exp z) y)
7.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series39.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
5.0ms	(/ (exp z) y)
18.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
6.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5097	1168

prune113.0ms

Filtered

81 candidates to 115 candidates (-42.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (* (exp z) (/ 1 y))) x)
0.0b	(* (exp z) (/ 1 y))
0.1b	(/ 1 (- (* 1.1283791670955126 (* (exp z) (/ 1 y))) x))
0.2b	(* 1.1283791670955126 (* (exp z) (/ 1 y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`add-exp-log`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac` `add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`pow1`
7×	`cbrt-unprod`
6×	`div-exp` `associate-l` `add-log-exp`
4×	`associate-*r/` `pow-prod-down`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r` `associate-/l` `unswap-sqr`
2×	`flip3--` `associate-/r/` `un-div-inv` `*-commutative` `flip--` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow`

Counts

4 → 104

Calls

4 calls:

8.0ms	(- (* 1.1283791670955126 (* (exp z) (/ 1 y))) x)
8.0ms	(* (exp z) (/ 1 y))
10.0ms	(/ 1 (- (* 1.1283791670955126 (* (exp z) (/ 1 y))) x))
8.0ms	(* 1.1283791670955126 (* (exp z) (/ 1 y)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* 1.1283791670955126 (* (exp z) (/ 1 y))) x)
4.0ms	(* (exp z) (/ 1 y))
18.0ms	(/ 1 (- (* 1.1283791670955126 (* (exp z) (/ 1 y))) x))
6.0ms	(* 1.1283791670955126 (* (exp z) (/ 1 y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5000	1092

prune108.0ms

Filtered

74 candidates to 116 candidates (-56.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ z (log 1.1283791670955126))
0.0b	(exp (+ z (log 1.1283791670955126)))
1.4b	(- (exp (+ z (log 1.1283791670955126))) (* x y))
7.5b	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

4.0ms	(+ z (log 1.1283791670955126))
4.0ms	(exp (+ z (log 1.1283791670955126)))
6.0ms	(- (exp (+ z (log 1.1283791670955126))) (* x y))
7.0ms	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ z (log 1.1283791670955126))
2.0ms	(exp (+ z (log 1.1283791670955126)))
13.0ms	(- (exp (+ z (log 1.1283791670955126))) (* x y))
26.0ms	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4978	849
1	4978	849

prune98.0ms

Filtered

62 candidates to 83 candidates (-33.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	3	86

Merged error: 0b

Counts

86 → 3

regimes174.0ms

Accuracy

0% (0.0b 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 (0.0ms)

Iter	Nodes	Cost
0	14	12
1	14	12

end0.0ms

analyze214.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

sample472.0ms

Algorithm

intervals

Results

314.0ms

8000×

body

valid

Details

analyze217.0ms

sample21.0ms

simplify3.0ms

prune3.0ms

localize8.0ms

rewrite16.0ms

series35.0ms

simplify50.0ms

prune94.0ms

localize8.0ms

rewrite29.0ms

series39.0ms

simplify57.0ms

prune113.0ms

localize12.0ms

rewrite37.0ms

series38.0ms

simplify58.0ms

prune108.0ms

localize13.0ms

rewrite23.0ms

series55.0ms

simplify68.0ms

prune98.0ms

regimes174.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze214.0ms

sample472.0ms

Profiling