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

Filtered

1 candidates to 0 candidates (0.0%)

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

localize11.0ms

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)
14.6b	(/ (+ 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:

9.0ms	(- 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)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
21.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
64.0ms	(/ (+ 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

prune170.0ms

Filtered

89 candidates to 67 candidates (75.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Merged error: 0b

Counts

90 → 3

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)
0.5b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.9b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`flip3-+` `associate-l` `flip-+` `add-log-exp`
5×	`prod-exp`
4×	`div-exp` `associate-*l/` `associate-/r/` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-*r/` `clear-num` `sum-log` `un-div-inv` `inv-pow`

Counts

4 → 106

Calls

4 calls:

3.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
10.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series187.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
61.0ms	(* (+ 0.99229 (* x 0.04481)) x)
42.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
58.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify68.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	531	998
1	2518	885
2	5001	859

prune181.0ms

Filtered

118 candidates to 76 candidates (64.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Merged error: 0b

Counts

121 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
20×	`log-pow`
15×	`exp-prod`
11×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
6×	`add-log-exp`
4×	`log-prod`
3×	`flip3-+` `associate-r` `associate-l` `flip-+` `associate-/l*`
2×	`associate-*l/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

3.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (log (exp (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
4.0ms	(log (exp (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)

series165.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (log (exp (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
20.0ms	(log (exp (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
65.0ms	(* (+ 0.99229 (* x 0.04481)) x)

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	405	991
1	1535	887
2	5002	872

prune186.0ms

Filtered

104 candidates to 72 candidates (69.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Merged error: 0b

Counts

107 → 3

regimes30.0ms

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	20	8
1	20	8

end0.0ms

sample333.0ms

Algorithm

intervals

Results

247.0ms

8000×

body

valid