Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	233×	body	80	valid
1.0ms	13×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	25	3
2	38	3
3	45	3
4	51	3
5	57	3
6	59	3
7	59	3

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
69×	`prod-diff`
56×	`*-un-lft-identity`
52×	`add-cube-cbrt`
40×	`associate-l`
31×	`times-frac`
9×	`associate-r`
8×	`unswap-sqr`
3×	`fma-neg` `*-commutative` `div-inv` `add-log-exp` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 91

Calls

1 calls:

12.0ms

(- x (* (/ 3.0 8.0) y))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- x (* (/ 3.0 8.0) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	607	1770
1	2063	1219
2	5002	1146

prune103.0ms

Filtered

94 candidates to 41 candidates (43.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (/ (cbrt 3.0) (cbrt 8.0)) y) (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))))
0.4b	(* (/ (cbrt 3.0) (cbrt 8.0)) y)
1.0b	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
1.0b	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)

rewrite899.0ms

Algorithm

rewrite-expression-head

Rules

4476×	`add-sqr-sqrt`
2858×	`cbrt-prod`
1695×	`times-frac`
1688×	`unswap-sqr`
1255×	`associate-r`
1122×	`*-un-lft-identity`
1120×	`add-cube-cbrt`
900×	`associate-*l/`
855×	`frac-times`
788×	`associate-/l*`
786×	`associate-/r*`
732×	`swap-sqr`
650×	`associate-l`
616×	`add-cbrt-cube`
531×	`cbrt-unprod`
266×	`cbrt-undiv`
197×	`*-commutative`
84×	`add-exp-log`
80×	`unpow-prod-down`
76×	`clear-num`
75×	`frac-2neg`
57×	`associate-*r/`
39×	`prod-exp`
20×	`div-exp`
13×	`pow1`
10×	`rem-cube-cbrt`
6×	`pow-unpow`
5×	`div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`un-div-inv`
2×	`pow-to-exp` `pow-pow` `unpow3` `sqr-pow`

Counts

4 → 2598

Calls

4 calls:

571.0ms	(* (* (/ (cbrt 3.0) (cbrt 8.0)) y) (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))))
13.0ms	(* (/ (cbrt 3.0) (cbrt 8.0)) y)
7.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
7.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)

series307.0ms

Counts

4 → 8

Calls

4 calls:

197.0ms	(* (* (/ (cbrt 3.0) (cbrt 8.0)) y) (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))))
110.0ms	(* (/ (cbrt 3.0) (cbrt 8.0)) y)
0.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
0.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)

simplify449.0ms

Algorithm

egg-herbie

Counts

2606 → 2606

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5001	46102

prune6.4s

Filtered

2606 candidates to 1443 candidates (55.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	2605	1	2606
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	2609	3	2612

Merged error: 0b

Counts

2612 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (/ (cbrt 3.0) (cbrt 8.0)) y) (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))))
0.4b	(* (/ (cbrt 3.0) (cbrt 8.0)) y)
1.0b	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
61.8b	(+ (- (* (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))) (/ (cbrt 3.0) (cbrt 8.0)))) (pow (/ (cbrt 3.0) (cbrt 8.0)) 3))

rewrite5.2s

Algorithm

rewrite-expression-head

Rules

10167×	`add-sqr-sqrt`
6362×	`cbrt-prod`
4659×	`times-frac`
3660×	`unswap-sqr`
2765×	`associate-l`
2380×	`fma-def`
2138×	`*-un-lft-identity`
2121×	`add-cube-cbrt`
1988×	`associate-r`
1740×	`swap-sqr`
1194×	`distribute-lft-neg-in`
1190×	`distribute-rgt-neg-in`
900×	`associate-*l/`
855×	`frac-times`
788×	`associate-/l*`
786×	`associate-/r*`
611×	`add-cbrt-cube`
531×	`cbrt-unprod`
487×	`*-commutative`
262×	`cbrt-undiv`
81×	`add-exp-log`
76×	`clear-num`
75×	`frac-2neg`
57×	`associate-*r/`
40×	`unpow-prod-down`
39×	`prod-exp`
19×	`div-exp`
12×	`pow1`
8×	`div-inv` `add-log-exp`
7×	`unpow3`
6×	`distribute-rgt-out`
5×	`rem-cube-cbrt`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`pow-unpow` `un-div-inv` `distribute-lft-out`
2×	`pow-exp` `sum-log`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+l-` `neg-mul-1` `pow-pow` `flip3-+` `neg-log` `flip-+` `sqr-pow`

Counts

4 → 4939

Calls

4 calls:

566.0ms	(* (* (/ (cbrt 3.0) (cbrt 8.0)) y) (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))))
13.0ms	(* (/ (cbrt 3.0) (cbrt 8.0)) y)
7.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
4.0s	(+ (- (* (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))) (/ (cbrt 3.0) (cbrt 8.0)))) (pow (/ (cbrt 3.0) (cbrt 8.0)) 3))

series360.0ms

Counts

4 → 8

Calls

4 calls:

256.0ms	(* (* (/ (cbrt 3.0) (cbrt 8.0)) y) (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))))
103.0ms	(* (/ (cbrt 3.0) (cbrt 8.0)) y)
0.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
0.0ms	(+ (- (* (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))) (/ (cbrt 3.0) (cbrt 8.0)))) (pow (/ (cbrt 3.0) (cbrt 8.0)) 3))

simplify719.0ms

Algorithm

egg-herbie

Counts

4947 → 4947

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5002	46108

prune14.7s

Filtered

4947 candidates to 2931 candidates (59.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	4947	0	4947
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	4947	3	4950

Merged error: 0b

Counts

4950 → 3

regimes64.0ms

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	8	3
1	8	3

end0.0ms

sample320.0ms

Algorithm

intervals

Results

141.0ms	7373×	body	80	valid
22.0ms	226×	body	1280	valid
12.0ms	157×	body	640	valid
8.0ms	80×	body	2560	valid
5.0ms	101×	body	320	valid
2.0ms	63×	body	160	valid