Details

sample76.0ms

Algorithm

intervals

Results

29.0ms	845×	body	80	nan
14.0ms	256×	body	80	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune3.0ms

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

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))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
34×	`associate--l+`
27×	`log-prod`
26×	`add-log-exp`
24×	`add-sqr-sqrt`
17×	`distribute-lft-out--`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`associate-+l+` `diff-log`
8×	`distribute-lft-out`
7×	`associate-l`
6×	`add-exp-log` `sum-log` `add-cbrt-cube`
5×	`sub-neg` `log-pow`
4×	`associate-r`
3×	`associate-+r+` `difference-of-squares`
2×	`associate--l-` `associate-+l-` `flip3--` `flip--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 112

Calls

4 calls:

17.0ms	(+ (- (- (* x (log y)) y) z) (log t))
8.0ms	(- (* x (log y)) y)
12.0ms	(- (- (* x (log y)) y) z)
4.0ms	(* x (log y))

series173.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (- (- (* x (log y)) y) z) (log t))
59.0ms	(- (* x (log y)) y)
32.0ms	(- (- (* x (log y)) y) z)
41.0ms	(* x (log y))

simplify120.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	397	697
1	1239	662
2	4460	626
3	5001	626

prune289.0ms

Filtered

124 candidates to 80 candidates (64.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	118	6	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	7	125

Merged error: 0.0b

Counts

125 → 7

localize17.0ms

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×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series735.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt y) (cbrt y))
175.0ms	(cbrt y)
176.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify103.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3258	241
3	5001	238

prune322.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

localize24.0ms

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×	`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 → 77

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
7.0ms	(* (log (pow (pow y 2/3) 1)) x)
1.0ms	(cbrt y)
3.0ms	(pow y 2/3)

series596.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (log (cbrt y)) x)
109.0ms	(* (log (pow (pow y 2/3) 1)) x)
183.0ms	(cbrt y)
185.0ms	(pow y 2/3)

simplify151.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	274	356
1	1031	301
2	4799	292
3	5002	292

prune375.0ms

Filtered

89 candidates to 69 candidates (77.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
13×	`pow1` `log-pow`
12×	`log-prod`
9×	`add-exp-log` `cbrt-prod` `pow-unpow`
8×	`pow-pow` `associate-r` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`add-log-exp`
3×	`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 → 89

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
7.0ms	(* (log (pow (pow y 2/3) 1)) x)
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series564.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (log (cbrt y)))
106.0ms	(* (log (pow (pow y 2/3) 1)) x)
182.0ms	(cbrt y)
182.0ms	(pow y 2/3)

simplify42.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	298	450
1	1250	382
2	5001	368

prune372.0ms

Filtered

101 candidates to 71 candidates (70.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

regimes384.0ms

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	24	12
1	24	12

end0.0ms

sample2.1s

Algorithm

intervals

Results

870.0ms	24391×	body	80	nan
351.0ms	8023×	body	80	valid
1.0ms	4×	body	1280	valid