Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	257×	body	80	nan
9.0ms	257×	body	80	valid

simplify119.0ms

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	5002	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 (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

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

series342.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
48.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
242.0ms	(* (+ y 0.5) (log y))

simplify43.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	375	512
1	1297	467
2	5001	453

prune143.0ms

Filtered

72 candidates to 50 candidates (69.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ 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)

rewrite29.0ms

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:

9.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms	(+ (* (+ 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:

452.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
786.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
184.0ms	(cbrt y)
187.0ms	(cbrt y)

simplify71.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (59.0ms)

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

prune327.0ms

Filtered

120 candidates to 91 candidates (75.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (pow y 1/3)) (+ y 0.5))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) (+ y 0.5)))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+` `log-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`cbrt-prod`
7×	`pow1` `add-exp-log`
6×	`flip3-+` `associate-*r/` `add-cbrt-cube` `flip-+` `add-log-exp`
4×	`associate-r` `associate-l` `associate-*l/` `frac-add`
3×	`unpow-prod-down` `pow-unpow`
2×	`associate-+r+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

6.0ms	(* (log (pow y 1/3)) (+ y 0.5))
16.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) (+ y 0.5)))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series2.0s

Counts

4 → 12

Calls

4 calls:

469.0ms	(* (log (pow y 1/3)) (+ y 0.5))
1.2s	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) (+ y 0.5)))
178.0ms	(cbrt y)
171.0ms	(pow y 1/3)

simplify132.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	614	821
1	2859	711
2	5001	686

prune338.0ms

Filtered

106 candidates to 86 candidates (81.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	106	6	112

Merged error: 0.0b

Counts

112 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- x (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))) y) z)
0.1b	(* (- (* y y) (* 0.5 0.5)) (log y))
0.1b	(+ (- x (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))) y)
12.9b	(/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-log-exp`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
7×	`pow1` `distribute-lft-out--`
6×	`log-prod`
5×	`times-frac` `diff-log` `associate-/r*`
4×	`flip3--` `associate-r` `associate-l` `associate-*l/` `sum-log` `flip--` `distribute-lft-out` `difference-of-squares`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`cbrt-undiv` `associate-+l-` `sub-neg` `associate-+l+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate--l-` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `clear-num` `log-pow` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

13.0ms	(- (+ (- x (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))) y) z)
7.0ms	(* (- (* y y) (* 0.5 0.5)) (log y))
10.0ms	(+ (- x (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))) y)
15.0ms	(/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))

series929.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (+ (- x (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))) y) z)
403.0ms	(* (- (* y y) (* 0.5 0.5)) (log y))
83.0ms	(+ (- x (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))) y)
347.0ms	(/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))

simplify66.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	558	1107
1	2419	996
2	5001	977

prune212.0ms

Filtered

106 candidates to 76 candidates (71.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	106	6	112

Merged error: 0.0b

Counts

112 → 6

regimes150.0ms

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

sample845.0ms

Algorithm

intervals

Results

275.0ms	8033×	body	80	valid
226.0ms	8131×	body	80	nan
0.0ms	1×	body	1280	valid