Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	9
1	51	9
2	69	9
3	86	9
4	94	9
5	105	9
6	139	9
7	177	9
8	202	9
9	246	9
10	416	9
11	615	9
12	992	9
13	1948	9
14	2240	9
15	3154	9
16	5001	9

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	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
12.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`distribute-lft-out`
26×	`times-frac`
20×	`add-cube-cbrt` `associate-l`
11×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-log-exp`
5×	`associate-/r` `associate-/l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
3×	`+-commutative`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 117

Calls

4 calls:

6.0ms	(+ 2.30753 (* x 0.27061))
30.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
12.0ms	(* x (+ 0.99229 (* x 0.04481)))
19.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 2.30753 (* x 0.27061))
102.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	516	1097
1	2218	1031
2	5002	1031

prune268.0ms

Filtered

129 candidates to 75 candidates (58.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Merged error: 0b

Counts

130 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
12.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

149×	`*-un-lft-identity`
61×	`distribute-lft-out`
51×	`times-frac`
41×	`add-sqr-sqrt`
40×	`associate-r` `associate-l`
34×	`add-cube-cbrt`
17×	`associate-*r/`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
10×	`associate-/r*`
8×	`pow1`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`associate-/r/` `un-div-inv` `*-commutative` `associate-/l/`
3×	`+-commutative` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `distribute-rgt-neg-out` `div-inv`
1×	`distribute-rgt-out` `distribute-rgt-neg-in` `unsub-neg` `sum-log`

Counts

4 → 168

Calls

4 calls:

60.0ms	(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
9.0ms	(* x (+ 0.99229 (* x 0.04481)))
25.0ms	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
21.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
62.0ms	(* x (+ 0.99229 (* x 0.04481)))
75.0ms	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
60.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify96.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	663	1544
1	3151	1430
2	5001	1429

prune320.0ms

Filtered

180 candidates to 97 candidates (53.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	180	5	185

Merged error: 0b

Counts

185 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* 0.70711 (- (+ 2.30753 (* x 0.27061)))) (- (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* 0.70711 (- (+ 2.30753 (* x 0.27061))))
12.2b	(/ (* 0.70711 (- (+ 2.30753 (* x 0.27061)))) (- (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

485×	`*-un-lft-identity`
322×	`times-frac`
229×	`associate-r`
200×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
191×	`add-sqr-sqrt`
164×	`distribute-lft-out`
157×	`add-cube-cbrt`
133×	`associate-l`
40×	`neg-mul-1`
23×	`associate-/l*`
17×	`*-commutative` `unswap-sqr`
14×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-*r/` `distribute-rgt-neg-out` `distribute-neg-frac` `add-log-exp`
5×	`+-commutative` `flip3-+` `flip-+`
4×	`distribute-rgt-in` `distribute-neg-in` `distribute-lft-in`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-frac-neg` `div-exp` `pow-prod-down` `associate-/r/` `associate-/l/`
1×	`distribute-neg-out` `frac-2neg` `unsub-neg` `clear-num` `sum-log` `div-inv`

Counts

4 → 456

Calls

4 calls:

257.0ms	(+ (/ (* 0.70711 (- (+ 2.30753 (* x 0.27061)))) (- (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
9.0ms	(* x (+ 0.99229 (* x 0.04481)))
10.0ms	(* 0.70711 (- (+ 2.30753 (* x 0.27061))))
33.0ms	(/ (* 0.70711 (- (+ 2.30753 (* x 0.27061)))) (- (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series284.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ (/ (* 0.70711 (- (+ 2.30753 (* x 0.27061)))) (- (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
54.0ms	(* 0.70711 (- (+ 2.30753 (* x 0.27061))))
68.0ms	(/ (* 0.70711 (- (+ 2.30753 (* x 0.27061)))) (- (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify94.0ms

Algorithm

egg-herbie

Counts

468 → 468

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1301	6829
1	5002	6674

prune785.0ms

Filtered

468 candidates to 227 candidates (48.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	467	1	468
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	468	5	473

Merged error: 0b

Counts

473 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

8.1b	(/ (- (+ 2.30753 (* x 0.27061))) (- (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))
12.6b	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.6b	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.6b	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

2297×	`*-un-lft-identity`
1148×	`times-frac`
1095×	`cbrt-prod`
1000×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
818×	`distribute-lft-out`
781×	`add-sqr-sqrt`
649×	`associate-l`
541×	`add-cube-cbrt`
420×	`swap-sqr`
240×	`associate-r`
120×	`unswap-sqr`
98×	`neg-mul-1`
82×	`associate-/r*`
30×	`*-commutative`
18×	`cbrt-div`
14×	`associate-/l*`
10×	`flip3-+` `flip-+` `distribute-neg-frac`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `associate-l/` `associate-/l/`
1×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 1313

Calls

4 calls:

64.0ms	(/ (- (+ 2.30753 (* x 0.27061))) (- (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))
10.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series637.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(/ (- (+ 2.30753 (* x 0.27061))) (- (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))
144.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
148.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
141.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify324.0ms

Algorithm

egg-herbie

Counts

1325 → 1325

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1999	33119
1	5001	32396

prune2.3s

Filtered

1325 candidates to 490 candidates (37.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1325	0	1325
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	1325	5	1330

Merged error: 0b

Counts

1330 → 5

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (2.0ms)

Iter	Nodes	Cost
0	39	13
1	60	13
2	70	12
3	75	12
4	75	12

end0.0ms

sample361.0ms

Algorithm

intervals

Results

265.0ms

8000×

body

valid