Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

355×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
11×	`associate-l`
10×	`distribute-lft-out`
7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

7.0ms	(+ (* x y) z)
17.0ms	(+ (* (+ (* x y) z) y) t)
10.0ms	(* (+ (* x y) z) y)

series123.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (* x y) z)
64.0ms	(+ (* (+ (* x y) z) y) t)
36.0ms	(* (+ (* x y) z) y)

simplify104.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	200	289
1	713	263
2	4039	259
3	5001	259

prune82.0ms

Filtered

59 candidates to 36 candidates (39.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
51×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`distribute-lft-out`
19×	`associate-l`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `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`

Counts

4 → 108

Calls

4 calls:

21.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
7.0ms	(cbrt (+ (* x y) z))
7.0ms	(cbrt (+ (* x y) z))
7.0ms	(cbrt (+ (* x y) z))

series458.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
108.0ms	(cbrt (+ (* x y) z))
108.0ms	(cbrt (+ (* x y) z))
109.0ms	(cbrt (+ (* x y) z))

simplify147.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	277	1010
1	980	942
2	4927	801
3	5001	801

prune220.0ms

Filtered

120 candidates to 75 candidates (37.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
7.2b	(cbrt (* (+ (* x y) z) y))
7.2b	(cbrt (* (+ (* x y) z) y))
7.2b	(cbrt (* (+ (* x y) z) y))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

134×	`cbrt-prod`
93×	`*-un-lft-identity`
83×	`associate-l`
67×	`add-sqr-sqrt`
38×	`associate-r`
29×	`add-cube-cbrt` `swap-sqr`
26×	`distribute-lft-out`
22×	`unswap-sqr`
20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 173

Calls

4 calls:

30.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
10.0ms	(cbrt (* (+ (* x y) z) y))
14.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))

series578.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
135.0ms	(cbrt (* (+ (* x y) z) y))
131.0ms	(cbrt (* (+ (* x y) z) y))
142.0ms	(cbrt (* (+ (* x y) z) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	435	1999
1	1458	1896
2	5001	1676

prune364.0ms

Filtered

185 candidates to 120 candidates (35.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	185	6	191

Merged error: 0.0b

Counts

191 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (cbrt (+ (* x y) z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
25×	`*-un-lft-identity`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `associate-l` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 63

Calls

4 calls:

7.0ms	(cbrt (+ (* x y) z))
7.0ms	(cbrt (+ (* x y) z))
7.0ms	(cbrt (+ (* x y) z))
8.0ms	(cbrt (cbrt (+ (* x y) z)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (+ (* x y) z))
107.0ms	(cbrt (+ (* x y) z))
108.0ms	(cbrt (+ (* x y) z))
116.0ms	(cbrt (cbrt (+ (* x y) z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	201	522
1	482	492
2	1550	468
3	5002	464

prune215.0ms

Filtered

75 candidates to 63 candidates (16.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

regimes150.0ms

Accuracy

0% (0.0b 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	12	4
1	12	4

end0.0ms

sample539.0ms

Algorithm

intervals

Results

266.0ms

11270×

body

valid