Details

analyze224.0ms

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

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify124.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4698	12
1	4698	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: 2.0b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

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

series47.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
2.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5425	1001

prune103.0ms

Filtered

66 candidates to 82 candidates (-24.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Merged error: 0b

Counts

83 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
3×	`div-exp` `associate-r` `associate-/r` `div-inv` `associate-/l`
2×	`cbrt-undiv` `flip3--` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sub-neg` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+` `inv-pow`

Counts

4 → 89

Calls

4 calls:

6.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
12.0ms	(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
7.0ms	(* (/ 1.1283791670955126 y) (exp z))
8.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

series46.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
11.0ms	(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
6.0ms	(* (/ 1.1283791670955126 y) (exp z))
19.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4941	1176
1	4941	1176

prune112.0ms

Filtered

75 candidates to 101 candidates (-34.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Merged error: 0b

Counts

104 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

3.6b	(/ y (- (* 1.1283791670955126 (* 1.1283791670955126 (pow (exp z) 2))) (* y (* y (* x x)))))
3.7b	(* y (* y (* x x)))
10.1b	(* y (* x x))
12.3b	(* (/ y (- (* 1.1283791670955126 (* 1.1283791670955126 (pow (exp z) 2))) (* y (* y (* x x))))) (+ (* 1.1283791670955126 (exp z)) (* x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`associate-l`
20×	`pow1`
19×	`times-frac`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
5×	`associate-r`
4×	`associate-/r/` `add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `flip3--` `flip3-+` `associate-*r/` `div-exp` `flip--` `flip-+` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `clear-num`

Counts

4 → 109

Calls

4 calls:

8.0ms	(/ y (- (* 1.1283791670955126 (* 1.1283791670955126 (pow (exp z) 2))) (* y (* y (* x x)))))
7.0ms	(* y (* y (* x x)))
5.0ms	(* y (* x x))
15.0ms	(* (/ y (- (* 1.1283791670955126 (* 1.1283791670955126 (pow (exp z) 2))) (* y (* y (* x x))))) (+ (* 1.1283791670955126 (exp z)) (* x y)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ y (- (* 1.1283791670955126 (* 1.1283791670955126 (pow (exp z) 2))) (* y (* y (* x x)))))
6.0ms	(* y (* y (* x x)))
6.0ms	(* y (* x x))
39.0ms	(* (/ y (- (* 1.1283791670955126 (* 1.1283791670955126 (pow (exp z) 2))) (* y (* y (* x x))))) (+ (* 1.1283791670955126 (exp z)) (* x y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5464	2019

prune158.0ms

Filtered

84 candidates to 121 candidates (-44.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes267.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample498.0ms

Algorithm

intervals

Results

326.0ms

8000×

body

valid

Details

analyze224.0ms

sample19.0ms

simplify124.0ms

prune3.0ms

localize8.0ms

rewrite28.0ms

series47.0ms

simplify50.0ms

prune103.0ms

localize11.0ms

rewrite36.0ms

series46.0ms

simplify54.0ms

prune112.0ms

localize18.0ms

rewrite39.0ms

series72.0ms

simplify40.0ms

prune158.0ms

regimes267.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample498.0ms

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