Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	66×	body	640	valid
3.0ms	133×	body	80	valid
2.0ms	33×	body	320	valid
1.0ms	24×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4

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: 15.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
90×	`frac-sub`
70×	`associate-/r*`
65×	`add-sqr-sqrt`
60×	`associate-/l*`
53×	`add-cube-cbrt`
28×	`times-frac`
20×	`frac-2neg` `clear-num`
16×	`distribute-lft-out`
8×	`distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `diff-log` `div-exp` `flip--` `flip-+`

Counts

2 → 147

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
23.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series92.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ 1.0 (+ x 1.0))
60.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify118.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	947	1500
1	4569	1427
2	5001	1424

prune175.0ms

Filtered

153 candidates to 93 candidates (60.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	150	3	153
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	151	3	154

Merged error: 0.7b

Counts

154 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (/ x 1.0))
0.7b	(/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (* (+ x 1.0) (/ x 1.0)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

339×	`*-un-lft-identity`
258×	`times-frac`
214×	`add-sqr-sqrt`
125×	`distribute-lft-out--`
119×	`add-cube-cbrt`
117×	`associate-r`
61×	`associate-l`
42×	`associate-/r*`
36×	`frac-times`
31×	`associate-/r/`
27×	`associate-/l*`
25×	`difference-of-squares`
20×	`flip3-+` `flip-+`
18×	`associate-*r/` `unswap-sqr`
16×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
9×	`clear-num` `*-commutative` `distribute-lft-out`
7×	`frac-2neg`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*l/` `prod-exp` `un-div-inv` `cbrt-unprod`
2×	`div-sub` `associate-/l/` `add-log-exp`
1×	`associate--l-` `flip3--` `pow-prod-down` `flip--`

Counts

2 → 313

Calls

2 calls:

11.0ms	(* (+ x 1.0) (/ x 1.0))
40.0ms	(/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (* (+ x 1.0) (/ x 1.0)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (+ x 1.0) (/ x 1.0))
43.0ms	(/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (* (+ x 1.0) (/ x 1.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1216	3945
1	5001	3829

prune423.0ms

Filtered

319 candidates to 186 candidates (58.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	313	6	319
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	316	6	322

Merged error: 0b

Counts

322 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (/ x 1.0)) (+ x 1.0))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

1195×	`times-frac`
1177×	`*-un-lft-identity`
571×	`add-sqr-sqrt`
439×	`add-cube-cbrt`
330×	`distribute-lft-out--`
126×	`associate-/l*`
105×	`distribute-lft-out`
66×	`associate-l` `difference-of-squares`
47×	`associate-/r/`
42×	`div-inv`
32×	`associate-/r*`
27×	`associate-/l/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`frac-2neg` `clear-num`
6×	`cbrt-undiv` `div-exp`
4×	`div-sub`
1×	`pow1` `associate--l-` `flip3--` `flip3-+` `flip--` `flip-+` `add-log-exp`

Counts

1 → 569

Calls

1 calls:

53.0ms

(/ (/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (/ x 1.0)) (+ x 1.0))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ (/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (/ x 1.0)) (+ x 1.0))

simplify129.0ms

Algorithm

egg-herbie

Counts

572 → 572

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1752	9033
1	5001	8907

prune667.0ms

Filtered

572 candidates to 268 candidates (46.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	570	2	572
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	572	6	578

Merged error: 0b

Counts

578 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b

(* (+ x 1.0) (/ (/ x 1.0) (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0))))

0.7b

(/ (* (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0)) (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0))) (* (+ x 1.0) (/ (/ x 1.0) (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0)))))

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

25329×	`*-un-lft-identity`
19682×	`times-frac`
13427×	`cbrt-prod`
11327×	`add-sqr-sqrt`
11025×	`distribute-lft-out--`
8718×	`associate-r`
6673×	`add-cube-cbrt`
3927×	`associate-l`
3322×	`swap-sqr`
1299×	`difference-of-squares`
869×	`unswap-sqr`
590×	`div-inv`
228×	`associate-/r*`
217×	`associate-/r/`
204×	`*-commutative`
151×	`associate-/l*`
144×	`frac-times`
121×	`add-cbrt-cube`
118×	`cbrt-div`
72×	`flip3-+` `associate-*r/` `flip-+`
66×	`cbrt-undiv` `associate-/l/`
59×	`flip3--` `flip--`
54×	`cbrt-unprod`
53×	`distribute-lft-out`
43×	`add-exp-log`
17×	`div-exp` `clear-num`
13×	`frac-2neg` `prod-exp`
8×	`un-div-inv`
6×	`associate-*l/`
4×	`pow1`
2×	`add-log-exp`
1×	`pow-prod-down`

Counts

2 → 8291

Calls

2 calls:

66.0ms

(* (+ x 1.0) (/ (/ x 1.0) (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0))))

304.0ms

(/ (* (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0)) (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0))) (* (+ x 1.0) (/ (/ x 1.0) (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0)))))

series239.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms

(* (+ x 1.0) (/ (/ x 1.0) (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0))))

96.0ms

(/ (* (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0)) (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0))) (* (+ x 1.0) (/ (/ x 1.0) (cbrt (- (- (* (/ x 1.0) 1.0) x) 1.0)))))

simplify3.1s

Algorithm

egg-herbie

Counts

8297 → 8297

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5002	308125

prune12.3s

Filtered

8297 candidates to 3215 candidates (38.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	8295	2	8297
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	8297	6	8303

Merged error: 0b

Counts

8303 → 6

regimes22.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

end0.0ms

sample414.0ms

Algorithm

intervals

Results

141.0ms	1841×	body	640	valid
85.0ms	4308×	body	80	valid
74.0ms	1216×	body	320	valid
24.0ms	635×	body	160	valid