Details

sample44.0ms

Algorithm

intervals

Results

13.0ms	32×	body	1280	valid
9.0ms	168×	body	80	valid
7.0ms	29×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

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 (cos y)) (* z (sin y)))
0.0b	(+ x (cos y))
0.1b	(* z (sin y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
48×	`prod-diff`
46×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
17×	`associate-l`
16×	`distribute-lft-out`
15×	`associate-r`
10×	`add-log-exp`
6×	`unswap-sqr`
5×	`pow1` `add-exp-log` `*-commutative` `add-cbrt-cube`
4×	`fma-neg` `distribute-lft-out--`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`+-commutative` `diff-log` `associate--l+` `sum-log` `difference-of-squares`
1×	`sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `flip-+`

Counts

3 → 112

Calls

3 calls:

12.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(+ x (cos y))
4.0ms	(* z (sin y))

series116.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (+ x (cos y)) (* z (sin y)))
25.0ms	(+ x (cos y))
42.0ms	(* z (sin y))

simplify50.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	397	1437
1	1275	980
2	5002	929

prune207.0ms

Filtered

121 candidates to 58 candidates (47.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	114	7	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	7	122

Merged error: 0.0b

Counts

122 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.7b	(pow (cbrt (sin y)) 3)
0.7b	(pow (cbrt (sin y)) 3)
0.7b	(pow (cbrt (sin y)) 3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
9×	`pow-unpow`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-pow` `rem-cube-cbrt`
4×	`expm1-log1p-u` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt (sin y))
4.0ms	(pow (cbrt (sin y)) 3)
4.0ms	(pow (cbrt (sin y)) 3)
4.0ms	(pow (cbrt (sin y)) 3)

series465.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (sin y))
120.0ms	(pow (cbrt (sin y)) 3)
124.0ms	(pow (cbrt (sin y)) 3)
122.0ms	(pow (cbrt (sin y)) 3)

simplify39.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	170	456
1	667	382
2	5001	367

prune356.0ms

Filtered

124 candidates to 71 candidates (57.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	124	7	131

Merged error: 0b

Counts

131 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (sin y)) 3)
0.7b	(pow (cbrt (sin y)) 3)
0.9b	(* z (+ (- (* (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)))) (pow (cbrt (sin y)) 3)))
12.6b	(+ (- (* (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)))) (pow (cbrt (sin y)) 3))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-sqr-sqrt`
116×	`fma-def`
96×	`cbrt-prod`
87×	`associate-l`
72×	`distribute-lft-neg-in`
70×	`distribute-rgt-neg-in`
65×	`*-un-lft-identity`
61×	`unswap-sqr`
51×	`associate-r`
41×	`add-cube-cbrt`
20×	`swap-sqr`
18×	`cube-mult`
17×	`*-commutative`
16×	`distribute-rgt-out` `distribute-lft-out`
12×	`unpow-prod-down` `cube-prod`
10×	`unpow3`
8×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow-unpow`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `rem-cube-cbrt`
3×	`+-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow1/3` `associate-*r/` `pow-exp` `sum-log` `flip-+` `sqr-pow`
1×	`neg-sub0` `associate-+l-` `neg-mul-1` `pow-prod-down` `neg-log` `prod-exp` `cbrt-unprod`

Counts

4 → 255

Calls

4 calls:

6.0ms	(pow (cbrt (sin y)) 3)
4.0ms	(pow (cbrt (sin y)) 3)
100.0ms	(* z (+ (- (* (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)))) (pow (cbrt (sin y)) 3)))
105.0ms	(+ (- (* (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)))) (pow (cbrt (sin y)) 3))

series250.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(pow (cbrt (sin y)) 3)
123.0ms	(pow (cbrt (sin y)) 3)
2.0ms	(* z (+ (- (* (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)))) (pow (cbrt (sin y)) 3)))
1.0ms	(+ (- (* (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)))) (pow (cbrt (sin y)) 3))

simplify93.0ms

Algorithm

egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	337	1087
1	2074	698
2	5002	359

prune837.0ms

Filtered

267 candidates to 169 candidates (63.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	267	7	274

Merged error: 0b

Counts

274 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.7b	(pow (cbrt (sin y)) 3)
0.7b	(pow (cbrt (sin y)) 3)
0.7b	(pow (cbrt (sin y)) 3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
9×	`pow-unpow`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-pow` `rem-cube-cbrt`
4×	`expm1-log1p-u` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

2.0ms	(cbrt (sin y))
7.0ms	(pow (cbrt (sin y)) 3)
4.0ms	(pow (cbrt (sin y)) 3)
4.0ms	(pow (cbrt (sin y)) 3)

series467.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (sin y))
126.0ms	(pow (cbrt (sin y)) 3)
120.0ms	(pow (cbrt (sin y)) 3)
122.0ms	(pow (cbrt (sin y)) 3)

simplify34.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	170	462
1	667	382
2	5001	367

prune393.0ms

Filtered

124 candidates to 71 candidates (57.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	124	7	131

Merged error: 0b

Counts

131 → 7

regimes117.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	23
1	39	23
2	40	23
3	40	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

385.0ms	918×	body	1280	valid
312.0ms	5697×	body	80	valid
211.0ms	782×	body	640	valid
69.0ms	379×	body	320	valid
27.0ms	221×	body	160	valid
7.0ms	3×	body	2560	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5