Details

sample75.0ms

Algorithm

intervals

Results

31.0ms	845×	body	80	nan
12.0ms	256×	body	80	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune6.0ms

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: 0.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

176×	`*-un-lft-identity`
172×	`add-sqr-sqrt`
159×	`prod-diff`
112×	`associate--l+`
106×	`add-cube-cbrt`
70×	`associate-+l+`
45×	`associate-l`
44×	`associate-r`
36×	`distribute-lft-out--`
27×	`log-prod`
26×	`add-log-exp`
21×	`pow1`
20×	`fma-neg`
19×	`unswap-sqr`
18×	`difference-of-squares`
15×	`log-pow`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`*-commutative`
10×	`diff-log`
8×	`distribute-lft-out`
7×	`fma-def`
6×	`add-exp-log` `sum-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+r+`
2×	`associate--l-` `associate-+l-` `flip3--` `flip--`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`

Counts

4 → 306

Calls

4 calls:

27.0ms	(+ (- (- (* x (log y)) y) z) (log t))
11.0ms	(- (* x (log y)) y)
20.0ms	(- (- (* x (log y)) y) z)
5.0ms	(* x (log y))

series172.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (- (- (* x (log y)) y) z) (log t))
56.0ms	(- (* x (log y)) y)
32.0ms	(- (- (* x (log y)) y) z)
42.0ms	(* x (log y))

simplify79.0ms

Algorithm

egg-herbie

Counts

318 → 318

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	610	2422
1	2088	1600
2	5002	1481

prune735.0ms

Filtered

318 candidates to 194 candidates (61.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	312	6	318
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	312	7	319

Merged error: 0.0b

Counts

319 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series741.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt y) (cbrt y))
183.0ms	(cbrt y)
181.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify95.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3275	261
3	5001	259

prune353.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* (log (pow (pow y 2/3) 1)) x)
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-l`
17×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
9×	`add-exp-log` `pow-unpow`
8×	`pow-pow` `add-cbrt-cube`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
7.0ms	(* (log (pow (pow y 2/3) 1)) x)
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series789.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (log (cbrt y)) x)
105.0ms	(* (log (pow (pow y 2/3) 1)) x)
180.0ms	(cbrt y)
181.0ms	(pow y 2/3)

simplify149.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	282	386
1	1045	340
2	4998	320
3	5001	320

prune420.0ms

Filtered

97 candidates to 78 candidates (80.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* x (+ 0 (log (pow y 2/3))))
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`associate-+r+` `log-prod`
11×	`pow1`
9×	`add-exp-log` `distribute-rgt-in` `unpow-prod-down` `distribute-lft-in`
8×	`associate-r` `associate-l` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `log-pow` `sqr-pow`
2×	`+-commutative` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 96

Calls

4 calls:

5.0ms	(* (log (cbrt y)) x)
9.0ms	(* x (+ 0 (log (pow y 2/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series537.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (log (cbrt y)) x)
80.0ms	(* x (+ 0 (log (pow y 2/3))))
171.0ms	(cbrt y)
167.0ms	(pow y 2/3)

simplify75.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	386	469
1	1849	401
2	5002	389

prune395.0ms

Filtered

108 candidates to 78 candidates (72.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

regimes379.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	12
1	25	12
2	25	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

855.0ms	24391×	body	80	nan
353.0ms	8023×	body	80	valid
1.0ms	4×	body	1280	valid