Details

sample96.0ms

Algorithm

intervals

Results

33.0ms	295×	body	80	valid
21.0ms	252×	body	80	nan

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	30	8
1	89	7
2	291	7
3	898	7
4	2565	7
5	5001	7

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `log-prod`
11×	`add-log-exp`
10×	`add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `associate--r+`
5×	`pow1` `fma-neg` `prod-diff`
4×	`add-exp-log` `associate-r` `add-cbrt-cube`
3×	`diff-log` `associate-l` `sum-log`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 60

Calls

2 calls:

9.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series74.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (+ (+ x y) z) (* z (log t)))
41.0ms	(* z (log t))

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	268	391
1	1227	340
2	5002	323

prune166.0ms

Filtered

66 candidates to 44 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	5	67

Merged error: 0.0b

Counts

67 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1 (log t))
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`prod-diff`
11×	`add-cube-cbrt`
6×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+` `add-log-exp`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 46

Calls

2 calls:

5.0ms	(- 1 (log t))
1.0ms	(fma z (- 1 (log t)) (+ x y))

series173.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(- 1 (log t))
51.0ms	(fma z (- 1 (log t)) (+ x y))

simplify117.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	209	361
1	731	229
2	3621	181
3	5001	180

prune119.0ms

Filtered

52 candidates to 31 candidates (59.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt t))))
0.3b	(* z (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 104

Calls

4 calls:

7.0ms	(* z (* 2 (log (cbrt t))))
5.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series589.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* z (* 2 (log (cbrt t))))
91.0ms	(* z (log (cbrt t)))
210.0ms	(cbrt t)
191.0ms	(cbrt t)

simplify43.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	298	668
1	1166	591
2	5001	567

prune386.0ms

Filtered

116 candidates to 77 candidates (66.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	116	5	121

Merged error: 0b

Counts

121 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt t))))
0.3b	(* z (log (pow t 1/3)))
0.6b	(cbrt t)
4.9b	(pow t 1/3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
12×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
9×	`unpow-prod-down`
6×	`associate-l`
5×	`associate-r`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`*-commutative`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `log-pow` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

6.0ms	(* z (* 2 (log (cbrt t))))
5.0ms	(* z (log (pow t 1/3)))
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series560.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* z (* 2 (log (cbrt t))))
81.0ms	(* z (log (pow t 1/3)))
190.0ms	(cbrt t)
183.0ms	(pow t 1/3)

simplify80.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	395	682
1	1554	543
2	5001	502

prune348.0ms

Filtered

124 candidates to 73 candidates (58.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	124	5	129

Merged error: 0b

Counts

129 → 5

regimes316.0ms

Accuracy

0% (0.0b 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	17	6
1	17	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

711.0ms	9183×	body	80	valid
451.0ms	8995×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid