Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify117.0ms

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

prune5.0ms

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)))
13.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
27×	`times-frac`
26×	`distribute-lft-out`
20×	`add-cube-cbrt`
19×	`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` `associate-*r/` `difference-of-squares`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`+-commutative` `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 → 119

Calls

4 calls:

30.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
52.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
14.0ms	(* x (+ 0.99229 (* x 0.04481)))
19.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
103.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
69.0ms	(* x (+ 0.99229 (* x 0.04481)))
63.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	514	1268
1	2186	1189
2	5002	1189

prune210.0ms

Filtered

131 candidates to 79 candidates (60.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	126	5	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	5	132

Merged error: 0b

Counts

132 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
13.4b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

328×	`*-un-lft-identity`
224×	`times-frac`
116×	`add-sqr-sqrt`
112×	`distribute-lft-out`
98×	`add-cube-cbrt`
62×	`associate-l`
41×	`associate-/r*`
25×	`associate-/r/`
21×	`add-exp-log`
16×	`associate-/l*`
15×	`associate-r` `add-cbrt-cube`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
7×	`div-inv`
5×	`difference-of-squares`
4×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `clear-num` `associate-/l/` `remove-double-div` `add-log-exp`
3×	`frac-2neg`
2×	`+-commutative` `sub-neg` `rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`flip3--` `pow-flip` `flip--` `inv-pow`

Counts

4 → 274

Calls

4 calls:

53.0ms	(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
9.0ms	(* x (+ 0.99229 (* x 0.04481)))
28.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
19.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
58.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
63.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify111.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	814	3214
1	3899	2967
2	5001	2804

prune330.0ms

Filtered

286 candidates to 115 candidates (40.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	282	4	286
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	287	4	291

Merged error: 0b

Counts

291 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(/ 0.70711 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
13.4b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

320×	`*-un-lft-identity`
218×	`times-frac`
112×	`distribute-lft-out`
98×	`add-sqr-sqrt`
96×	`add-cube-cbrt`
59×	`associate-l`
41×	`associate-/r*`
25×	`associate-/r/`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3-+` `flip-+`
6×	`pow1` `div-inv` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`+-commutative` `frac-2neg` `clear-num`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 246

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
9.0ms	(* x (+ 0.99229 (* x 0.04481)))
27.0ms	(/ 0.70711 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
19.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 0.99229 (* x 0.04481))
72.0ms	(* x (+ 0.99229 (* x 0.04481)))
73.0ms	(/ 0.70711 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
62.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify105.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	711	2858
1	3344	2756
2	5001	2754

prune397.0ms

Filtered

258 candidates to 134 candidates (51.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	255	3	258
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	259	3	262

Merged error: 0b

Counts

262 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 0.70711 (/ (+ 1.0 (log (exp (* x (+ 0.99229 (* x 0.04481)))))) (+ 2.30753 (* x 0.27061)))) (* 0.70711 (- x)))
0.0b	(/ (+ 1.0 (log (exp (* x (+ 0.99229 (* x 0.04481)))))) (+ 2.30753 (* x 0.27061)))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
3.5b	(log (exp (* x (+ 0.99229 (* x 0.04481)))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
31×	`distribute-lft-out`
26×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt` `log-pow`
15×	`associate-l`
14×	`exp-prod`
13×	`pow1`
10×	`associate-r`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`log-prod` `add-log-exp`
5×	`+-commutative` `associate-/r` `associate-/l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `exp-sum` `flip-+`
2×	`associate-r/` `rem-log-exp` `associate-/r/` `-commutative` `distribute-rgt-neg-out` `div-inv` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `exp-to-pow` `frac-2neg` `div-exp` `unsub-neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `cbrt-unprod`

Counts

4 → 125

Calls

4 calls:

116.0ms	(+ (/ 0.70711 (/ (+ 1.0 (log (exp (* x (+ 0.99229 (* x 0.04481)))))) (+ 2.30753 (* x 0.27061)))) (* 0.70711 (- x)))
27.0ms	(/ (+ 1.0 (log (exp (* x (+ 0.99229 (* x 0.04481)))))) (+ 2.30753 (* x 0.27061)))
9.0ms	(* x (+ 0.99229 (* x 0.04481)))
10.0ms	(log (exp (* x (+ 0.99229 (* x 0.04481)))))

series300.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ (/ 0.70711 (/ (+ 1.0 (log (exp (* x (+ 0.99229 (* x 0.04481)))))) (+ 2.30753 (* x 0.27061)))) (* 0.70711 (- x)))
61.0ms	(/ (+ 1.0 (log (exp (* x (+ 0.99229 (* x 0.04481)))))) (+ 2.30753 (* x 0.27061)))
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
70.0ms	(log (exp (* x (+ 0.99229 (* x 0.04481)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	517	1279
1	2088	1126
2	5002	1110

prune249.0ms

Filtered

137 candidates to 82 candidates (59.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0b

Counts

140 → 3

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	13
1	34	13
2	35	13
3	35	13

end0.0ms

sample356.0ms

Algorithm

intervals

Results

266.0ms

8000×

body

valid