Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	298×	body	80	valid
9.0ms	245×	body	80	nan

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series311.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
166.0ms	(+ (- 1.0 z) (log z))
81.0ms	(* y (+ (- 1.0 z) (log z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5001	370

prune138.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.2b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt` `add-log-exp`
9×	`cbrt-prod`
8×	`distribute-lft-out`
7×	`associate-r`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
4×	`sum-log` `log-pow` `distribute-lft-out--`
3×	`associate-+l+` `associate-l`
2×	`flip3-+` `pow1/3` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

11.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
13.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series902.0ms

Counts

4 → 12

Calls

4 calls:

360.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
187.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
180.0ms	(cbrt z)
176.0ms	(cbrt z)

simplify45.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	317	676
1	1327	594
2	5002	546

prune257.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (- 1.0 z) (* 2/3 (log z))))
0.2b	(* (log (pow z 1/3)) y)
0.4b	(* 2/3 (log z))
4.8b	(pow z 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log`
10×	`associate-r` `associate-l` `add-cbrt-cube`
6×	`log-prod`
4×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate-*r/` `log-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow-exp` `flip-+` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

8.0ms	(* y (+ (- 1.0 z) (* 2/3 (log z))))
4.0ms	(* (log (pow z 1/3)) y)
5.0ms	(* 2/3 (log z))
2.0ms	(pow z 1/3)

series535.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* y (+ (- 1.0 z) (* 2/3 (log z))))
108.0ms	(* (log (pow z 1/3)) y)
148.0ms	(* 2/3 (log z))
179.0ms	(pow z 1/3)

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	390	452
1	1859	390
2	5002	374

prune261.0ms

Filtered

96 candidates to 62 candidates (64.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0b

Counts

102 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (log (pow z 1/3)) y))
4.8b	(pow z 1/3)
4.8b	(pow z 1/3)
4.8b	(pow z 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down` `pow-unpow`
7×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (* (log (pow z 1/3)) y))
2.0ms	(pow z 1/3)
2.0ms	(pow z 1/3)
2.0ms	(pow z 1/3)

series714.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (* (log (pow z 1/3)) y))
182.0ms	(pow z 1/3)
179.0ms	(pow z 1/3)
179.0ms	(pow z 1/3)

simplify61.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	142	233
1	441	206
2	1888	195
3	5002	177

prune272.0ms

Filtered

75 candidates to 49 candidates (65.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Merged error: 0b

Counts

81 → 6

regimes207.0ms

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	21	11
1	21	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

420.0ms	9152×	body	80	valid
327.0ms	9214×	body	80	nan