Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	56	8
3	72	8
4	78	8
5	100	8
6	128	8
7	161	8
8	190	8
9	350	8
10	644	8
11	1012	8
12	2258	8
13	5001	8

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
15.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite28.0ms

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 → 77

Calls

4 calls:

3.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
9.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
9.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
7.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	419	828
1	1560	773
2	5001	773

prune139.0ms

Filtered

89 candidates to 67 candidates (24.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	3	90

Merged error: 0.0b

Counts

90 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.1b	(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
15.8b	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
74×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+` `div-inv`
6×	`associate-/l*` `add-log-exp`
5×	`difference-of-squares`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

17.0ms	(- x (/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
8.0ms	(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
7.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
5.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

simplify81.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	703	2128
1	3188	1879
2	5002	1873

prune212.0ms

Filtered

166 candidates to 98 candidates (41.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	166	3	169

Merged error: 0.0b

Counts

169 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.1b	(pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)
9.0b	(cbrt (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))
15.7b	(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
46×	`add-sqr-sqrt`
45×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
15×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
5×	`flip3-+` `flip-+`
4×	`cbrt-div` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/l*`
2×	`associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `div-inv` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
4.0ms	(pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)
3.0ms	(cbrt (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
4.0ms	(pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)
3.0ms	(cbrt (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)))

simplify74.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	545	1810
1	2418	1691
2	5002	1668

prune198.0ms

Filtered

159 candidates to 84 candidates (47.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	159	3	162

Merged error: 0.0b

Counts

162 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.5b	(log (exp (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
15.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(exp (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
9.0ms	(log (exp (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(exp (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
7.0ms	(log (exp (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	452	992
1	1691	899
2	5001	897

prune355.0ms

Filtered

102 candidates to 76 candidates (25.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Merged error: 0.0b

Counts

105 → 4

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

sample448.0ms

Algorithm

intervals

Results

315.0ms

8000×

body

valid

Details

sample17.0ms

simplify78.0ms

prune2.0ms

localize10.0ms

rewrite28.0ms

series21.0ms

simplify50.0ms

prune139.0ms

localize12.0ms

rewrite44.0ms

series22.0ms

simplify81.0ms

prune212.0ms

localize13.0ms

rewrite26.0ms

series20.0ms

simplify74.0ms

prune198.0ms

localize14.0ms

rewrite33.0ms

series28.0ms

simplify55.0ms

prune355.0ms

regimes99.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample448.0ms

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