Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
7.0ms	257×	body	80	nan

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b	(- (fma (log y) (+ y 0.5) z) y)
0.1b	(fma (log y) (+ y 0.5) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
33×	`prod-diff`
25×	`add-cube-cbrt`
12×	`associate--r+`
10×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--r-`

Counts

3 → 88

Calls

3 calls:

7.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
4.0ms	(- (fma (log y) (+ y 0.5) z) y)
1.0ms	(fma (log y) (+ y 0.5) z)

series122.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
44.0ms	(- (fma (log y) (+ y 0.5) z) y)
35.0ms	(fma (log y) (+ y 0.5) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	404	1160
1	1496	822
2	5003	746

prune173.0ms

Filtered

97 candidates to 61 candidates (62.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
13.0ms	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))

series3.5s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
289.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
286.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.6s	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))

simplify117.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	953	2708
1	4661	2609
2	5001	2609

prune459.0ms

Filtered

121 candidates to 96 candidates (79.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3))
0.5b	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)))
0.7b	(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

109×	`cbrt-prod`
65×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
28×	`unpow-prod-down` `cube-prod`
26×	`cbrt-div`
25×	`associate-r`
24×	`add-cube-cbrt`
14×	`unswap-sqr`
10×	`cube-div`
9×	`flip3--` `flip--`
8×	`associate-l` `distribute-lft-out--` `difference-of-squares`
7×	`pow1` `add-exp-log`
5×	`pow1/3` `sqr-pow`
4×	`expm1-log1p-u` `frac-times` `unpow3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-unpow`
2×	`pow-pow` `associate-r/` `pow-prod-down` `associate-l/`
1×	`pow-to-exp` `swap-sqr` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 160

Calls

4 calls:

3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
6.0ms	(cbrt (pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3))
17.0ms	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)))
6.0ms	(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

series4.3s

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
293.0ms	(cbrt (pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3))
2.7s	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)))
1.0s	(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

simplify62.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1213	3272
1	5002	3003

prune468.0ms

Filtered

172 candidates to 100 candidates (58.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	172	6	178

Merged error: 0.0b

Counts

178 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

74×	`cbrt-prod`
59×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
30×	`cbrt-div`
23×	`add-cube-cbrt`
20×	`swap-sqr`
18×	`pow1`
16×	`associate-r` `associate-l`
14×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
10×	`difference-of-squares`
8×	`add-exp-log` `frac-times` `unswap-sqr`
4×	`expm1-log1p-u` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
4.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
10.0ms	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
11.0ms	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))

series5.7s

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
296.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
2.6s	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
2.6s	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1148	4001
1	5001	3858

prune646.0ms

Filtered

165 candidates to 119 candidates (72.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	164	7	171

Merged error: 0.0b

Counts

171 → 7

regimes109.0ms

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	10	5
1	10	5

end0.0ms

sample825.0ms

Algorithm

intervals

Results

275.0ms	8033×	body	80	valid
224.0ms	8131×	body	80	nan
0.0ms	1×	body	1280	valid