Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

278×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

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: 1.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
6.5b	(/ x (* (- y z) (- y t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

11.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
10.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
32.0ms	(* (- y z) (- y t))
61.0ms	(/ x (* (- y z) (- y t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	361	530
1	1551	485
2	5001	485

prune192.0ms

Filtered

86 candidates to 64 candidates (74.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	6	87

Merged error: 0.0b

Counts

87 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

6.5b	(/ x (* (- y z) (- y t)))
21.4b	(cbrt (/ x (* (- y z) (- y t))))
21.4b	(cbrt (/ x (* (- y z) (- y t))))
21.4b	(cbrt (/ x (* (- y z) (- y t))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
32×	`associate-/r/`
24×	`flip3--` `flip--`
16×	`frac-times`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

9.0ms	(/ x (* (- y z) (- y t)))
8.0ms	(cbrt (/ x (* (- y z) (- y t))))
8.0ms	(cbrt (/ x (* (- y z) (- y t))))
8.0ms	(cbrt (/ x (* (- y z) (- y t))))

series593.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ x (* (- y z) (- y t)))
181.0ms	(cbrt (/ x (* (- y z) (- y t))))
181.0ms	(cbrt (/ x (* (- y z) (- y t))))
170.0ms	(cbrt (/ x (* (- y z) (- y t))))

simplify48.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	322	995
1	1077	935
2	5002	929

prune414.0ms

Filtered

113 candidates to 103 candidates (91.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	112	7	119

Merged error: 0b

Counts

119 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y z))
0.0b	(- 1.0 (/ (/ x (- y z)) (- y t)))
2.6b	(/ (/ x (- y z)) (- y t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
186×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
89×	`add-cube-cbrt`
47×	`difference-of-squares`
45×	`distribute-lft-out--`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

3 → 201

Calls

3 calls:

5.0ms	(/ x (- y z))
30.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
12.0ms	(/ (/ x (- y z)) (- y t))

series173.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ x (- y z))
82.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
61.0ms	(/ (/ x (- y z)) (- y t))

simplify81.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	711	1896
1	2636	1850
2	5002	1850

prune424.0ms

Filtered

210 candidates to 143 candidates (68.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	210	7	217

Merged error: 0b

Counts

217 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x (/ (/ 1 (- y z)) (- y t))))
0.2b	(/ (/ 1 (- y z)) (- y t))
6.3b	(* x (/ (/ 1 (- y z)) (- y t)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

380×	`times-frac`
311×	`add-sqr-sqrt`
300×	`*-un-lft-identity`
147×	`add-cube-cbrt`
111×	`associate-r`
76×	`distribute-lft-out--` `difference-of-squares`
27×	`add-exp-log`
26×	`associate-/r/`
21×	`associate-/l*`
17×	`add-cbrt-cube`
14×	`flip3--` `flip--`
13×	`div-inv`
12×	`div-exp`
6×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r*` `add-log-exp`
4×	`unswap-sqr`
3×	`associate-l` `cbrt-unprod`
2×	`rec-exp` `1-exp`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 298

Calls

3 calls:

3.0ms	(- 1.0 (* x (/ (/ 1 (- y z)) (- y t))))
12.0ms	(/ (/ 1 (- y z)) (- y t))
35.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- 1.0 (* x (/ (/ 1 (- y z)) (- y t))))
69.0ms	(/ (/ 1 (- y z)) (- y t))
68.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

simplify125.0ms

Algorithm

egg-herbie

Counts

307 → 307

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	974	2682
1	4632	2456
2	5001	2242

prune477.0ms

Filtered

307 candidates to 159 candidates (51.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	307	0	307
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	307	7	314

Merged error: 0b

Counts

314 → 7

regimes194.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample501.0ms

Algorithm

intervals

Results

289.0ms

8512×

body

valid