Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
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)))
15.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

10.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
13.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
8.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
96.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
60.0ms	(* x (+ 0.99229 (* x 0.04481)))
74.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	524	1067
1	2237	989
2	5001	989

prune229.0ms

Filtered

107 candidates to 78 candidates (72.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	3	108

Merged error: 0b

Counts

108 → 3

localize13.0ms

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))))))
15.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-/r/`
3×	`associate-r/` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `div-inv` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `unsub-neg` `clear-num` `sum-log` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

8.0ms	(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series277.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
60.0ms	(* x (+ 0.99229 (* x 0.04481)))
67.0ms	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	605	1138
1	2858	1030
2	5001	1029

prune269.0ms

Filtered

113 candidates to 86 candidates (76.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize15.0ms

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)))
15.2b	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

9.0ms	(+ (/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* 0.70711 (- x)))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(* 0.70711 (+ 2.30753 (* x 0.27061)))
7.0ms	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series273.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (/ (* 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)))
50.0ms	(* 0.70711 (+ 2.30753 (* x 0.27061)))
68.0ms	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify78.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	567	761
1	2783	679
2	5001	678

prune204.0ms

Filtered

94 candidates to 67 candidates (71.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	94	3	97

Merged error: 0b

Counts

97 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (cbrt (+ (/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* 0.70711 (- x)))) (cbrt (+ (/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* 0.70711 (- x)))))
15.2b	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.2b	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.2b	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`cbrt-prod`
12×	`cbrt-div` `flip3-+` `flip-+`
11×	`pow1`
9×	`times-frac` `associate-/r*`
8×	`associate-*r/`
6×	`cbrt-undiv` `pow1/3` `swap-sqr` `div-exp` `associate-r` `associate-l` `associate-/r/` `associate-/l/`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `*-commutative`

Counts

4 → 123

Calls

4 calls:

22.0ms	(* (cbrt (+ (/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* 0.70711 (- x)))) (cbrt (+ (/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* 0.70711 (- x)))))
7.0ms	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series451.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(* (cbrt (+ (/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* 0.70711 (- x)))) (cbrt (+ (/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* 0.70711 (- x)))))
70.0ms	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
64.0ms	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
67.0ms	(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	539	2570
1	2381	2365
2	5002	2224

prune426.0ms

Filtered

135 candidates to 99 candidates (73.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	135	3	138

Merged error: 0b

Counts

138 → 3

regimes17.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	29	11
1	33	11
2	34	11
3	34	11

end0.0ms

sample349.0ms

Algorithm

intervals

Results

263.0ms

8000×

body

valid