Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	17
1	37	17

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
12.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

13.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 0.99229 (* x 0.04481))
7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5582	1452

prune157.0ms

Filtered

71 candidates to 88 candidates (-23.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
12.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))

series85.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt x)
25.0ms	(cbrt x)
25.0ms	(cbrt x)
10.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))

simplify31.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5126	889

prune111.0ms

Filtered

58 candidates to 76 candidates (-31.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0b

Counts

80 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481)))
0.2b	(* x (* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481))))
2.8b	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* x (* x (* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481)))))))
17.2b	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* x (* x (* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481))))))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
21×	`associate-l`
19×	`times-frac`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`associate-*r/`
13×	`flip3-+` `flip-+`
10×	`frac-times`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down` `associate-*l/`
4×	`flip3--` `associate-/r/` `flip--` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `div-exp` `div-inv` `associate-/l/`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up`

Counts

4 → 137

Calls

4 calls:

8.0ms	(* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481)))
10.0ms	(* x (* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481))))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* x (* x (* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481)))))))
12.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* x (* x (* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481))))))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481)))
4.0ms	(* x (* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481))))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* x (* x (* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481)))))))
10.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* x (* x (* (+ 0.99229 (* x 0.04481)) (+ 0.99229 (* x 0.04481))))))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify71.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4996	3138
1	4996	3138

prune374.0ms

Filtered

110 candidates to 149 candidates (-35.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	149	4	153

Merged error: 0b

Counts

153 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.27061 (- (* x 0.27061) 2.30753))
0.2b	(pow (* x 0.27061) 3)
0.3b	(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
20.5b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
14×	`pow1` `*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`associate-*r/` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
5×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `pow-prod-down` `associate-/l*`
4×	`frac-times` `associate-r` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `flip3--` `pow-pow` `div-exp` `associate-l/` `pow-exp` `sum-cubes` `-commutative` `flip--` `associate-/l/` `distribute-lft-out` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `clear-num` `associate-/r*` `div-inv` `unswap-sqr` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

7.0ms	(* 0.27061 (- (* x 0.27061) 2.30753))
4.0ms	(pow (* x 0.27061) 3)
8.0ms	(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
17.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))))

series25.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* 0.27061 (- (* x 0.27061) 2.30753))
4.0ms	(pow (* x 0.27061) 3)
7.0ms	(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
9.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))))

simplify49.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4963	1945
1	4963	1945

prune238.0ms

Filtered

76 candidates to 115 candidates (-51.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	115	4	119

Merged error: 0b

Counts

119 → 4

regimes36.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	24	24
1	24	24

end0.0ms

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample408.0ms

Algorithm

intervals

Results

319.0ms

8000×

body

valid

Details

analyze4.0ms

sample16.0ms

simplify3.0ms

prune5.0ms

localize10.0ms

rewrite30.0ms

series23.0ms

simplify49.0ms

prune157.0ms

localize14.0ms

rewrite12.0ms

series85.0ms

simplify31.0ms

prune111.0ms

localize19.0ms

rewrite44.0ms

series23.0ms

simplify71.0ms

prune374.0ms

localize23.0ms

rewrite39.0ms

series25.0ms

simplify49.0ms

prune238.0ms

regimes36.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample408.0ms

Profiling