Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	258×	body	80	valid
8.0ms	227×	body	80	nan

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

10.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series547.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
41.0ms	(- x (* (+ y 0.5) (log y)))
41.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
416.0ms	(* (+ y 0.5) (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (39.0ms)

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

prune206.0ms

Filtered

93 candidates to 69 candidates (74.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
15×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
7×	`pow1`
6×	`add-exp-log` `add-cube-cbrt` `diff-log` `add-cbrt-cube`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`distribute-rgt-in` `associate-+r-` `associate-+r+` `flip3--` `distribute-lft-in` `flip3-+` `associate-*r/` `flip--` `flip-+` `associate--r+` `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 → 73

Calls

4 calls:

7.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
5.0ms	(+ x (- y (* (log y) (+ y 0.5))))
3.0ms	(- y (* (log y) (+ y 0.5)))
6.0ms	(* (log y) (+ y 0.5))

series763.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
47.0ms	(+ x (- y (* (log y) (+ y 0.5))))
428.0ms	(- y (* (log y) (+ y 0.5)))
239.0ms	(* (log y) (+ y 0.5))

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	403	561
1	1620	527
2	5001	525

prune161.0ms

Filtered

85 candidates to 59 candidates (69.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

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)

rewrite28.0ms

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))))
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:

454.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
767.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
170.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify72.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (60.0ms)

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

prune325.0ms

Filtered

120 candidates to 91 candidates (75.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	120	8	128

Merged error: 0.0b

Counts

128 → 8

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)

rewrite25.0ms

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))
11.0ms	(+ (* (+ 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)

series1.8s

Counts

4 → 12

Calls

4 calls:

422.0ms	(* (log (pow y 1/3)) (+ y 0.5))
1.1s	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) (+ y 0.5)))
174.0ms	(cbrt y)
177.0ms	(pow y 1/3)

simplify89.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (79.0ms)

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

prune329.0ms

Filtered

106 candidates to 84 candidates (79.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

regimes137.0ms

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

sample990.0ms

Algorithm

intervals

Results

352.0ms	8045×	body	80	valid
289.0ms	7727×	body	80	nan
0.0ms	1×	body	640	valid