Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	8
1	156	8
2	539	8
3	2410	8
4	5001	8

prune2.0ms

Filtered

1 candidates to 0 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: 19.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.8b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

473×	`*-un-lft-identity`
447×	`add-sqr-sqrt`
444×	`associate-l`
420×	`times-frac`
234×	`associate-r`
207×	`add-cube-cbrt`
134×	`unswap-sqr`
126×	`distribute-lft-out`
98×	`swap-sqr`
78×	`*-commutative`
56×	`frac-times`
54×	`flip3-+` `flip-+`
35×	`associate-/r*`
28×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
26×	`associate-/r/`
16×	`associate-*r/`
12×	`prod-exp` `cbrt-unprod` `associate-/l*`
7×	`pow1`
6×	`cbrt-undiv` `div-exp`
4×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in`
3×	`pow-prod-down`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

2 → 597

Calls

2 calls:

22.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
43.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series214.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
170.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify135.0ms

Algorithm

egg-herbie

Counts

603 → 603

Iterations

Useful iterations: 1 (54.0ms)

Iter	Nodes	Cost
0	2413	7399
1	5001	7238

prune668.0ms

Filtered

603 candidates to 284 candidates (52.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	595	8	603
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	596	8	604

Merged error: 0.0b

Counts

604 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (cbrt x) (/ (+ x y) (cbrt x)))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

336×	`times-frac`
259×	`*-un-lft-identity`
183×	`cbrt-prod`
173×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
34×	`associate-/r*`
15×	`associate-/r/` `add-cbrt-cube`
10×	`cbrt-undiv` `associate-/l*`
9×	`add-exp-log`
8×	`div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3-+` `flip-+`

Counts

4 → 276

Calls

4 calls:

18.0ms	(/ (cbrt x) (/ (+ x y) (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series812.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(/ (cbrt x) (/ (+ x y) (cbrt x)))
190.0ms	(cbrt x)
195.0ms	(cbrt x)
190.0ms	(cbrt x)

simplify127.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	689	2968
1	3971	2840
2	5002	2715

prune502.0ms

Filtered

288 candidates to 159 candidates (44.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	284	4	288
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	285	11	296

Merged error: 0b

Counts

296 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (* (cbrt x) (cbrt x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`*-commutative`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt (cbrt x))
7.0ms	(cbrt (* (cbrt x) (cbrt x)))

series946.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt x)
200.0ms	(cbrt x)
260.0ms	(cbrt (cbrt x))
295.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	156	471
1	456	451
2	2202	412
3	5001	412

prune275.0ms

Filtered

91 candidates to 73 candidates (19.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	91	11	102

Merged error: 0b

Counts

102 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
2.5b	(cbrt (/ (+ x y) (cbrt x)))
2.5b	(cbrt (/ (+ x y) (cbrt x)))
2.5b	(cbrt (/ (+ x y) (cbrt x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

132×	`cbrt-prod`
101×	`*-un-lft-identity`
72×	`times-frac`
59×	`add-sqr-sqrt` `add-cube-cbrt`
45×	`cbrt-div`
21×	`distribute-lft-out`
18×	`associate-/r*`
12×	`associate-/l*`
6×	`associate-/l/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

4 → 172

Calls

4 calls:

1.0ms	(cbrt x)
7.0ms	(cbrt (/ (+ x y) (cbrt x)))
8.0ms	(cbrt (/ (+ x y) (cbrt x)))
8.0ms	(cbrt (/ (+ x y) (cbrt x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt x)
368.0ms	(cbrt (/ (+ x y) (cbrt x)))
362.0ms	(cbrt (/ (+ x y) (cbrt x)))
369.0ms	(cbrt (/ (+ x y) (cbrt x)))

simplify122.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	308	1558
1	827	1525
2	3432	1517
3	5002	1462

prune546.0ms

Filtered

184 candidates to 134 candidates (27.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	185	10	195

Merged error: 0b

Counts

195 → 10

regimes85.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample369.0ms

Algorithm

intervals

Results

238.0ms

8000×

body

valid