Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	257×	body	80	valid
9.0ms	249×	body	80	nan

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4956	6
10	5001	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 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
10.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms	(* (+ y 0.5) (log y))

series356.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- x (* (+ y 0.5) (log y)))
51.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
41.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
230.0ms	(* (+ y 0.5) (log y))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	446	640
1	1624	599
2	5001	591

prune187.0ms

Filtered

93 candidates to 69 candidates (74.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	6	94

Merged error: 0.0b

Counts

94 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

7.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
3.0ms	(- y (* (log y) (+ y 0.5)))
6.0ms	(* (log y) (+ y 0.5))

series705.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
403.0ms	(- y (* (log y) (+ y 0.5)))
233.0ms	(* (log y) (+ y 0.5))

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	350	441
1	1406	403
2	5002	401

prune121.0ms

Filtered

66 candidates to 46 candidates (69.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

8.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
11.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

443.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
770.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
178.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify77.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	640	1101
1	2507	971
2	5003	939

prune346.0ms

Filtered

120 candidates to 91 candidates (75.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	119	7	126

Merged error: 0.0b

Counts

126 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (pow y 1/3))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

57×	`distribute-rgt-in` `distribute-lft-in`
56×	`log-prod`
28×	`associate-+l+`
27×	`unpow-prod-down`
26×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube` `sqr-pow`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`cbrt-prod` `pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `associate-r` `pow-exp` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

9.0ms	(* (+ y 0.5) (* 2 (log (pow y 1/3))))
12.0ms	(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series1.8s

Counts

4 → 12

Calls

4 calls:

447.0ms	(* (+ y 0.5) (* 2 (log (pow y 1/3))))
1.1s	(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
173.0ms	(cbrt y)
174.0ms	(pow y 1/3)

simplify101.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	808	1193
1	3242	985
2	5002	937

prune361.0ms

Filtered

135 candidates to 95 candidates (70.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	136	6	142

Merged error: 0.0b

Counts

142 → 6

regimes86.0ms

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	13	6
1	13	6

end0.0ms

sample956.0ms

Algorithm

intervals

Results

336.0ms	8041×	body	80	valid
282.0ms	8035×	body	80	nan
0.0ms	1×	body	1280	valid