Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

322×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-l`
5×	`pow1` `add-exp-log` `+-commutative` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
4×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `associate--r+`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod`

Counts

3 → 59

Calls

3 calls:

9.0ms	(+ 0.253 (* x 0.12))
12.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
11.0ms	(* x (+ 0.253 (* x 0.12)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 0.253 (* x 0.12))
37.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
65.0ms	(* x (+ 0.253 (* x 0.12)))

simplify43.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	243	324
1	1024	303
2	5002	303

prune126.0ms

Filtered

68 candidates to 45 candidates (66.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series752.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt x) (cbrt x))
182.0ms	(cbrt x)
186.0ms	(cbrt x)
183.0ms	(cbrt x)

simplify93.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3258	241
3	5001	238

prune194.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series900.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt x)
360.0ms	(cbrt x)
185.0ms	(cbrt x)
180.0ms	(cbrt x)

simplify127.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune214.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.4b	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
0.4b	(* (* x 0.12) (* x 0.12))
6.7b	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

1753×	`add-sqr-sqrt`
642×	`*-un-lft-identity`
621×	`unswap-sqr`
546×	`associate-r`
543×	`difference-of-squares`
469×	`times-frac`
257×	`swap-sqr`
239×	`associate-l`
228×	`distribute-lft-out--`
140×	`*-commutative`
110×	`add-cube-cbrt`
67×	`associate-/l*`
45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-/r*`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `pow-sqr` `pow-prod-up` `flip--`
3×	`sub-neg`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `div-exp` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

4 → 729

Calls

4 calls:

7.0ms	(- 0.253 (* x 0.12))
51.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
12.0ms	(* (* x 0.12) (* x 0.12))
75.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 0.253 (* x 0.12))
99.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
29.0ms	(* (* x 0.12) (* x 0.12))
179.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

simplify144.0ms

Algorithm

egg-herbie

Counts

741 → 741

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1610	8442
1	5002	8326

prune690.0ms

Filtered

741 candidates to 208 candidates (28.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	739	2	741
Fresh	2	1	3
Picked	0	1	1
Done	0	3	3
Total	741	7	748

Merged error: 0b

Counts

748 → 7

regimes71.0ms

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	4
1	11	4

end0.0ms

sample317.0ms

Algorithm

intervals

Results

208.0ms

10551×

body

valid