Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	275×	body	80	valid
10.0ms	258×	body	80	nan

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	190	7
3	412	7
4	644	7
5	1083	7
6	1628	7
7	2273	7
8	3723	7
9	5001	7

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: 0.4b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
13.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ 1.0 (* x 9.0)))
61.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
43.0ms	(* 3.0 (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	594	1130
1	2888	878
2	5001	872

prune344.0ms

Filtered

131 candidates to 75 candidates (57.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	119	12	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	12	132

Merged error: 0.0b

Counts

132 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.3b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.7b	(/ 1.0 (* x 9.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
75×	`distribute-rgt-in` `distribute-lft-in`
72×	`prod-diff`
59×	`add-sqr-sqrt`
53×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 181

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
13.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
5.0ms	(/ 1.0 (* x 9.0))

series165.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ 1.0 (* x 9.0)))
56.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
64.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms	(/ 1.0 (* x 9.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	633	2404
1	2663	1754
2	5002	1748

prune233.0ms

Filtered

193 candidates to 84 candidates (43.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	193	12	205

Merged error: 0.0b

Counts

205 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
0.5b	(* (cbrt 3.0) (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
41×	`add-exp-log`
36×	`pow1`
35×	`add-sqr-sqrt`
28×	`add-cbrt-cube`
25×	`add-cube-cbrt`
24×	`prod-diff`
23×	`prod-exp` `cbrt-unprod`
22×	`pow-prod-down`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
8×	`associate-l`
7×	`distribute-lft-out`
5×	`cbrt-prod` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `associate--l+` `distribute-lft-out--`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv` `difference-of-squares`

Counts

4 → 140

Calls

4 calls:

20.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
6.0ms	(* (cbrt 3.0) (sqrt x))
5.0ms	(/ 1.0 (* x 9.0))

series274.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
77.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
67.0ms	(* (cbrt 3.0) (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify117.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	714	1970
1	3790	1353
2	5002	1284

prune275.0ms

Filtered

152 candidates to 79 candidates (52.0%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	151	13	164

Merged error: 0b

Counts

164 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cbrt 3.0)) (sqrt x))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (sqrt x))))
0.3b	(* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (sqrt x)))
0.7b	(/ 1.0 (* x 9.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
32×	`pow1`
24×	`add-sqr-sqrt`
21×	`add-cbrt-cube`
20×	`prod-exp` `cbrt-unprod`
19×	`pow-prod-down`
16×	`cbrt-prod`
14×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`sqrt-prod` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 108

Calls

4 calls:

7.0ms	(* (cbrt (cbrt 3.0)) (sqrt x))
14.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (sqrt x))))
8.0ms	(* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (sqrt x)))
5.0ms	(/ 1.0 (* x 9.0))

series315.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (cbrt 3.0)) (sqrt x))
86.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (sqrt x))))
72.0ms	(* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	549	1139
1	2333	956
2	5001	935

prune287.0ms

Filtered

120 candidates to 81 candidates (67.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	120	13	133

Merged error: 0b

Counts

133 → 13

regimes144.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

365.0ms	8711×	body	80	nan
365.0ms	8583×	body	80	valid