Details

sample160.0ms

Algorithm

intervals

Results

80.0ms	1737×	body	80	nan
14.0ms	257×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

29.0ms	(- (+ (log (+ x y)) (log z)) t)
100.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series500.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(- (+ (log (+ x y)) (log z)) t)
199.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
76.0ms	(+ (log (+ x y)) (log z))

simplify66.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune386.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`pow1`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`log-pow` `distribute-lft-out`
5×	`log-prod`
4×	`add-exp-log` `associate-+l+` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `pow-prod-down` `flip-+`
1×	`+-commutative` `associate-+r+` `sum-log`

Counts

4 → 57

Calls

4 calls:

14.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series701.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
177.0ms	(cbrt z)
182.0ms	(cbrt z)
182.0ms	(cbrt z)

simplify62.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	200	367
1	587	304
2	2130	290
3	5002	289

prune336.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 57

Calls

4 calls:

6.0ms	(+ (log (+ x y)) (log z))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series620.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (log (+ x y)) (log z))
180.0ms	(cbrt t)
185.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify75.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	185	279
1	378	255
2	949	246
3	3081	245
4	5002	245

prune333.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow (/ 1 t) -1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`unpow-prod-down`
10×	`pow1`
9×	`add-exp-log` `times-frac`
7×	`log-prod`
6×	`cbrt-prod`
5×	`distribute-lft-out`
4×	`associate-+l+` `pow-exp` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `associate-+r+` `pow-pow`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `div-exp` `flip-+`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `1-exp` `sum-log` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

6.0ms	(+ (log (+ x y)) (log z))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
4.0ms	(pow (/ 1 t) -1/3)

series622.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (log (+ x y)) (log z))
183.0ms	(cbrt t)
186.0ms	(cbrt t)
175.0ms	(pow (/ 1 t) -1/3)

simplify81.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	343	393
1	962	355
2	3265	340
3	5001	323

prune360.0ms

Filtered

90 candidates to 59 candidates (65.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes641.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	15
1	24	15

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.6s	55312×	body	80	nan
448.0ms	8035×	body	80	valid