Details

sample15.0ms

Algorithm

intervals

Results

5.0ms

286×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	19	2
3	19	2

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* y z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
34×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
23×	`add-cube-cbrt`
10×	`associate-l`
9×	`associate-r`
4×	`unswap-sqr`
3×	`fma-neg` `*-commutative` `add-log-exp`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 57

Calls

1 calls:

9.0ms

(- x (* y z))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- x (* y z))

simplify174.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (166.0ms)

Iter	Nodes	Cost
0	286	641
1	837	392
2	4040	376
3	5001	332

prune59.0ms

Filtered

60 candidates to 24 candidates (40.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Merged error: 0.0b

Counts

61 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(pow (cbrt z) 3)
0.7b	(pow (cbrt z) 3)
0.7b	(pow (cbrt z) 3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-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×	`pow-to-exp` `unpow3` `pow-exp` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(pow (cbrt z) 3)
2.0ms	(pow (cbrt z) 3)
3.0ms	(pow (cbrt z) 3)

series1.0s

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt z)
271.0ms	(pow (cbrt z) 3)
275.0ms	(pow (cbrt z) 3)
271.0ms	(pow (cbrt z) 3)

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	118	224
1	545	184
2	5002	177

prune213.0ms

Filtered

103 candidates to 66 candidates (64.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	105	1	106

Merged error: 0b

Counts

106 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.7b	(pow (cbrt z) 3)
0.7b	(pow (cbrt z) 3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `pow-unpow` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow-pow` `pow1/3` `log1p-expm1-u` `add-log-exp` `rem-cube-cbrt`
2×	`pow-to-exp` `unpow3` `pow-exp` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(pow (cbrt z) 3)
3.0ms	(pow (cbrt z) 3)

series974.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt z)
224.0ms	(cbrt z)
272.0ms	(pow (cbrt z) 3)
267.0ms	(pow (cbrt z) 3)

simplify45.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	118	200
1	545	172
2	5002	166

prune211.0ms

Filtered

90 candidates to 60 candidates (66.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	1	91

Merged error: 0b

Counts

91 → 1

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	11
1	22	11
2	22	11

end0.0ms

sample381.0ms

Algorithm

intervals

Results

180.0ms

9128×

body

valid