Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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	(+ 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)))

rewrite25.0ms

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:

8.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
20.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
66.0ms	(* (+ 0.99229 (* x 0.04481)) x)
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	419	828
1	1560	773
2	5002	773

prune205.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.1b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
15.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
20.3b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
8.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
8.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

series271.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ 0.99229 (* x 0.04481)) x)
90.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
63.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

simplify92.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	653	1950
1	3050	1824
2	5002	1810

prune333.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.1b	(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
15.7b	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`flip3-+` `div-exp` `flip-+`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

3.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
6.0ms	(* (+ 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)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
60.0ms	(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
58.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

simplify80.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	648	1899
1	3032	1733
2	5001	1652

prune494.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (log (exp (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
0.0b	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.3b	(log (exp (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

14.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (log (exp (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
3.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
4.0ms	(log (exp (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series194.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (log (exp (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
21.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
66.0ms	(* (+ 0.99229 (* x 0.04481)) x)
22.0ms	(log (exp (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify39.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	318	612
1	1139	544
2	5001	540

prune186.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes18.0ms

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	23	10
1	23	10

end0.0ms

sample339.0ms

Algorithm

intervals

Results

251.0ms

8000×

body

valid