Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

330×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (57.0ms)

Iter	Nodes	Cost
0	11	4
1	20	4
2	36	4
3	58	4
4	78	4
5	101	4
6	138	4
7	225	4
8	510	4
9	1682	4
10	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1 y) (/ x z) y)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- 1 y) (/ x z) y)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma (- 1 y) (/ x z) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	38	66
1	82	59
2	256	53
3	1313	53
4	5001	53

prune25.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- 1 y) (/ x z)) y)
3.6b	(* (- 1 y) (/ x z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 55

Calls

2 calls:

8.0ms	(+ (* (- 1 y) (/ x z)) y)
10.0ms	(* (- 1 y) (/ x z))

series54.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* (- 1 y) (/ x z)) y)
30.0ms	(* (- 1 y) (/ x z))

simplify39.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	306	322
1	1459	297
2	5001	287

prune99.0ms

Filtered

61 candidates to 45 candidates (73.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (- 1 y) (/ x z))
7.1b	(cbrt (* (- 1 y) (/ x z)))
7.1b	(cbrt (* (- 1 y) (/ x z)))
7.1b	(cbrt (* (- 1 y) (/ x z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`cbrt-div` `*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`pow1` `associate-l`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`prod-exp` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--`

Counts

4 → 89

Calls

4 calls:

9.0ms	(* (- 1 y) (/ x z))
6.0ms	(cbrt (* (- 1 y) (/ x z)))
6.0ms	(cbrt (* (- 1 y) (/ x z)))
6.0ms	(cbrt (* (- 1 y) (/ x z)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- 1 y) (/ x z))
81.0ms	(cbrt (* (- 1 y) (/ x z)))
80.0ms	(cbrt (* (- 1 y) (/ x z)))
81.0ms	(cbrt (* (- 1 y) (/ x z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	377	828
1	1656	767
2	5001	751

prune264.0ms

Filtered

101 candidates to 86 candidates (85.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	101	5	106

Merged error: 0b

Counts

106 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
1.9b	(* (/ (- 1 y) (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
31×	`times-frac`
25×	`add-exp-log` `*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
10×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv` `difference-of-squares`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
17.0ms	(* (/ (- 1 y) (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt z)
177.0ms	(cbrt z)
174.0ms	(cbrt z)
61.0ms	(* (/ (- 1 y) (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

simplify79.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	463	855
1	2249	700
2	5002	664

prune246.0ms

Filtered

115 candidates to 93 candidates (80.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	115	5	120

Merged error: 0b

Counts

120 → 5

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample549.0ms

Algorithm

intervals

Results

321.0ms

10010×

body

valid