Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
7.0ms	278×	body	80	nan

simplify152.0ms

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

prune3.0ms

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

localize10.0ms

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))

rewrite30.0ms

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:

8.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
4.0ms	(- x (* (+ y 0.5) (log y)))
9.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series402.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
46.0ms	(- x (* (+ y 0.5) (log y)))
47.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
252.0ms	(* (+ y 0.5) (log y))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

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

prune229.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
15×	`add-log-exp`
12×	`pow1` `add-cube-cbrt` `log-prod`
10×	`associate-r` `associate-l`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
6×	`sqrt-prod` `log-pow`
4×	`associate-+l+` `diff-log`
3×	`sub-neg` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`
2×	`sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3--` `flip--`

Counts

4 → 95

Calls

4 calls:

3.0ms	(- x (* (log (sqrt y)) (+ y 0.5)))
9.0ms	(+ (- (- x (* (log (sqrt y)) (+ y 0.5))) (* (+ y 0.5) (log (sqrt y)))) y)
8.0ms	(* (+ y 0.5) (log (sqrt y)))
7.0ms	(* (log (sqrt y)) (+ y 0.5))

series451.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- x (* (log (sqrt y)) (+ y 0.5)))
143.0ms	(+ (- (- x (* (log (sqrt y)) (+ y 0.5))) (* (+ y 0.5) (log (sqrt y)))) y)
102.0ms	(* (+ y 0.5) (log (sqrt y)))
94.0ms	(* (log (sqrt y)) (+ y 0.5))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	515	909
1	1956	798
2	5003	778

prune272.0ms

Filtered

107 candidates to 74 candidates (69.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

localize20.0ms

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)))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite31.0ms

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:

10.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
13.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.8s

Counts

4 → 12

Calls

4 calls:

510.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
852.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
199.0ms	(cbrt y)
191.0ms	(cbrt y)

simplify82.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (69.0ms)

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

prune602.0ms

Filtered

120 candidates to 91 candidates (75.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

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

Merged error: 0.0b

Counts

128 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
0.1b	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b	(* (sqrt (+ y 0.5)) (log y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
27×	`distribute-rgt-in` `distribute-lft-in`
25×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
14×	`sqrt-div` `associate-l`
12×	`pow1` `associate--r+`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
9×	`sqrt-prod`
8×	`flip3-+` `flip-+`
5×	`associate-r`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`sub-neg` `associate-+l+` `diff-log` `associate-r/` `sum-log` `-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3--` `log-pow` `flip--`

Counts

4 → 114

Calls

4 calls:

4.0ms	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
5.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
18.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
8.0ms	(* (sqrt (+ y 0.5)) (log y))

series421.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
47.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
259.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
67.0ms	(* (sqrt (+ y 0.5)) (log y))

simplify69.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	606	1133
1	2148	969
2	5001	942

prune285.0ms

Filtered

126 candidates to 84 candidates (66.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	127	7	134

Merged error: 0b

Counts

134 → 7

regimes100.0ms

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	15	12
1	15	12

end0.0ms

sample857.0ms

Algorithm

intervals

Results

289.0ms	8029×	body	80	valid
219.0ms	7843×	body	80	nan
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid