Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	303×	body	80	nan
12.0ms	284×	body	80	valid

simplify59.0ms

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))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite23.0ms

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)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
164.0ms	(+ (- 1.0 z) (log z))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (40.0ms)

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

prune129.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	4	71

Merged error: 0b

Counts

71 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
6.0ms	(* y (- 1.0 z))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series231.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
33.0ms	(* y (- 1.0 z))
94.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
42.0ms	(* y (log z))

simplify61.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	436	538
1	1993	482
2	5001	472

prune172.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

9.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* y (log (cbrt z))))
5.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series604.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* y (log (cbrt z))))
94.0ms	(* y (log (cbrt z)))
184.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	291	616
1	1175	564
2	5001	513

prune253.0ms

Filtered

89 candidates to 71 candidates (79.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (log z) (log z))
0.8b	(pow (log z) 3)
4.0b	(* y (+ (pow (- 1.0 z) 3) (pow (log z) 3)))
14.7b	(/ (* y (+ (pow (- 1.0 z) 3) (pow (log z) 3))) (+ (* (- 1.0 z) (- 1.0 z)) (- (* (log z) (log z)) (* (- 1.0 z) (log z)))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
30×	`pow1`
25×	`associate-r`
21×	`add-sqr-sqrt`
20×	`unpow-prod-down` `flip3--` `cube-prod` `flip--`
18×	`associate-/r/`
17×	`add-cube-cbrt` `distribute-lft-out`
16×	`frac-add` `log-pow`
14×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-*r/` `distribute-lft-out--`
7×	`associate-l`
6×	`log-prod` `swap-sqr`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `add-log-exp`
3×	`pow-unpow` `flip3-+` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `pow-plus` `unpow3` `pow-exp` `clear-num` `pow-sqr` `sum-cubes` `pow-prod-up` `div-inv` `associate-/l*` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 142

Calls

4 calls:

5.0ms	(* (log z) (log z))
2.0ms	(pow (log z) 3)
23.0ms	(* y (+ (pow (- 1.0 z) 3) (pow (log z) 3)))
32.0ms	(/ (* y (+ (pow (- 1.0 z) 3) (pow (log z) 3))) (+ (* (- 1.0 z) (- 1.0 z)) (- (* (log z) (log z)) (* (- 1.0 z) (log z)))))

series918.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (log z) (log z))
175.0ms	(pow (log z) 3)
106.0ms	(* y (+ (pow (- 1.0 z) 3) (pow (log z) 3)))
484.0ms	(/ (* y (+ (pow (- 1.0 z) 3) (pow (log z) 3))) (+ (* (- 1.0 z) (- 1.0 z)) (- (* (log z) (log z)) (* (- 1.0 z) (log z)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1109	2070
1	5001	1938

prune416.0ms

Filtered

154 candidates to 89 candidates (57.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	154	3	157

Merged error: 0b

Counts

157 → 3

regimes77.0ms

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	22	12
1	22	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

399.0ms	9199×	body	80	valid
321.0ms	9167×	body	80	nan