Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

501×

body

valid

simplify143.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (120.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	171	6
3	401	6
4	829	6
5	1090	6
6	1610	6
7	1956	6
8	2252	6
9	2367	5
10	2367	5

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 5.8b

Counts

2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
5.5b	(* (* y 4.0) (- (* z z) t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
135×	`prod-diff`
109×	`*-un-lft-identity`
101×	`add-cube-cbrt`
47×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
43×	`associate-r`
32×	`swap-sqr`
16×	`unswap-sqr`
15×	`fma-neg`
14×	`*-commutative`
10×	`difference-of-squares`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`distribute-lft-out--` `add-log-exp`
3×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log`

Counts

2 → 217

Calls

2 calls:

12.0ms	(- (* z z) t)
24.0ms	(* (* y 4.0) (- (* z z) t))

series107.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(- (* z z) t)
81.0ms	(* (* y 4.0) (- (* z z) t))

simplify103.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	653	2411
1	2393	1467
2	5002	1292

prune219.0ms

Filtered

223 candidates to 61 candidates (27.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	219	4	223
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	219	5	224

Merged error: 2.6b

Counts

224 → 5

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
9.5b	(* (* y 4.0) (* z z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
80×	`associate-l`
56×	`associate-r`
47×	`*-un-lft-identity`
42×	`fma-def`
40×	`unswap-sqr`
25×	`add-cube-cbrt`
24×	`distribute-lft-out`
14×	`pow1` `add-exp-log` `*-commutative` `add-cbrt-cube`
10×	`swap-sqr`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`expm1-log1p-u` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

2 → 141

Calls

2 calls:

73.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
15.0ms	(* (* y 4.0) (* z z))

series117.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
34.0ms	(* (* y 4.0) (* z z))

simplify92.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	457	534
1	2188	465
2	5001	460

prune341.0ms

Filtered

147 candidates to 92 candidates (62.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	2	1	3
Picked	0	1	1
Done	1	0	1
Total	148	4	152

Merged error: 0.0b

Counts

152 → 4

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* y (* 4.0 z)) z) (* (* y 4.0) (- t)))
0.2b	(* (* y (* 4.0 z)) z)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

96×	`associate-l`
51×	`add-sqr-sqrt`
45×	`associate-r`
37×	`*-un-lft-identity`
33×	`fma-def`
20×	`unswap-sqr`
19×	`add-cube-cbrt`
17×	`distribute-lft-out`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
4×	`add-log-exp`
2×	`expm1-log1p-u` `distribute-rgt-neg-out` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

2 → 112

Calls

2 calls:

64.0ms	(+ (* (* y (* 4.0 z)) z) (* (* y 4.0) (- t)))
14.0ms	(* (* y (* 4.0 z)) z)

series121.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(+ (* (* y (* 4.0 z)) z) (* (* y 4.0) (- t)))
35.0ms	(* (* y (* 4.0 z)) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	369	473
1	1551	400
2	5001	377

prune325.0ms

Filtered

118 candidates to 87 candidates (73.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	117	5	122

Merged error: 0.0b

Counts

122 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* y (* 4.0 z)) z)) (cbrt (* (* y (* 4.0 z)) z)))
20.0b	(cbrt (* (* y (* 4.0 z)) z))
20.0b	(cbrt (* (* y (* 4.0 z)) z))
20.0b	(cbrt (* (* y (* 4.0 z)) z))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

287×	`cbrt-prod`
279×	`add-sqr-sqrt`
250×	`associate-l`
166×	`associate-r`
155×	`unswap-sqr`
73×	`*-un-lft-identity`
57×	`add-cube-cbrt`
44×	`swap-sqr`
22×	`*-commutative`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 293

Calls

4 calls:

49.0ms	(* (cbrt (* (* y (* 4.0 z)) z)) (cbrt (* (* y (* 4.0 z)) z)))
18.0ms	(cbrt (* (* y (* 4.0 z)) z))
15.0ms	(cbrt (* (* y (* 4.0 z)) z))
14.0ms	(cbrt (* (* y (* 4.0 z)) z))

series529.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (* (* y (* 4.0 z)) z)) (cbrt (* (* y (* 4.0 z)) z)))
120.0ms	(cbrt (* (* y (* 4.0 z)) z))
125.0ms	(cbrt (* (* y (* 4.0 z)) z))
123.0ms	(cbrt (* (* y (* 4.0 z)) z))

simplify104.0ms

Algorithm

egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	564	3306
1	2071	3204
2	5001	3069

prune1.2s

Filtered

305 candidates to 228 candidates (74.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	305	0	305
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	305	5	310

Merged error: 0.0b

Counts

310 → 5

regimes234.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	26	9
2	33	9
3	33	9

end0.0ms

sample873.0ms

Algorithm

intervals

Results

491.0ms

15597×

body

valid