Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	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	(+ 2.30753 (* x 0.27061))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
46×	`times-frac`
45×	`prod-diff`
15×	`fma-neg`
10×	`associate-/r/`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
16.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series242.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ 2.30753 (* x 0.27061))
85.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
65.0ms	(* x (+ 0.99229 (* x 0.04481)))
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	607	2052
1	2430	1584
2	5002	1517

prune298.0ms

Filtered

162 candidates to 111 candidates (68.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	3	163

Merged error: 0.0b

Counts

163 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
14.2b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
18.2b	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `fma-udef`

Counts

4 → 131

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
3.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
5.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

series248.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
97.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
60.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
66.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	447	1174
1	2007	1079
2	5001	1067

prune287.0ms

Filtered

143 candidates to 84 candidates (58.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	143	3	146

Merged error: 0.0b

Counts

146 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.7b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
13.3b	(* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u`
3×	`associate-l` `prod-diff` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`sub-neg` `flip3--` `pow-flip` `frac-2neg` `fma-neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `flip--` `fma-udef` `inv-pow`

Counts

4 → 99

Calls

4 calls:

10.0ms	(- (* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
10.0ms	(* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
50.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
60.0ms	(* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	404	745
1	1665	640
2	5003	608

prune199.0ms

Filtered

111 candidates to 73 candidates (65.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	111	3	114

Merged error: 0.0b

Counts

114 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 2.30753 (* x 0.27061)))
0.2b	(cbrt (+ 2.30753 (* x 0.27061)))
0.8b	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
3.9b	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
34×	`cbrt-prod`
29×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-div` `times-frac`
11×	`pow1`
10×	`flip3-+` `flip-+`
8×	`add-exp-log` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `associate-/l*`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r*`
2×	`associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 125

Calls

4 calls:

2.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
2.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
8.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
6.0ms	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
133.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
143.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
186.0ms	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	698	1701
1	2775	1606
2	5001	1547

prune444.0ms

Filtered

137 candidates to 110 candidates (80.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Merged error: 0.0b

Counts

140 → 3

regimes15.0ms

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	16	6
1	16	6

end0.0ms

sample435.0ms

Algorithm

intervals

Results

336.0ms

8000×

body

valid