Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

321×

body

valid

simplify182.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1210	3
12	1782	3
13	3401	3
14	5001	3

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) z))
0.0b	(* (- y x) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `distribute-lft-out`
2×	`associate-*l/` `distribute-lft-out--`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

8.0ms	(+ x (* (- y x) z))
6.0ms	(* (- y x) z)

series67.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* (- y x) z))
33.0ms	(* (- y x) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	158	171
1	544	154
2	2674	154
3	5002	154

prune57.0ms

Filtered

42 candidates to 27 candidates (35.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- y x))
0.0b	(sqrt (- y x))
0.1b	(* (sqrt (- y x)) z)
0.2b	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
32×	`sqrt-prod`
25×	`*-un-lft-identity`
24×	`associate-r` `associate-l`
18×	`sqrt-div`
15×	`add-cube-cbrt`
14×	`unswap-sqr`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`

Counts

4 → 114

Calls

4 calls:

3.0ms	(sqrt (- y x))
3.0ms	(sqrt (- y x))
7.0ms	(* (sqrt (- y x)) z)
17.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

series265.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (- y x))
67.0ms	(sqrt (- y x))
92.0ms	(* (sqrt (- y x)) z)
31.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

simplify43.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	339	784
1	1171	666
2	5001	638

prune191.0ms

Filtered

126 candidates to 82 candidates (34.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	126	4	130

Merged error: 0.0b

Counts

130 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.2b	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
3.7b	(sqrt (* (- y x) z))
3.7b	(sqrt (* (- y x) z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
90×	`add-sqr-sqrt`
61×	`pow1`
60×	`associate-l`
58×	`*-un-lft-identity`
38×	`associate-r`
32×	`sqrt-pow1`
28×	`add-cube-cbrt`
25×	`swap-sqr`
24×	`unswap-sqr`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
12×	`pow1/2`
11×	`distribute-lft-out--`
10×	`pow-prod-up`
9×	`flip3--` `flip--`
8×	`add-exp-log` `*-commutative` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`pow-sqr`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
2×	`associate-*r/` `prod-exp` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 190

Calls

4 calls:

6.0ms	(* (- y x) z)
23.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
7.0ms	(sqrt (* (- y x) z))
7.0ms	(sqrt (* (- y x) z))

series593.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- y x) z)
62.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
248.0ms	(sqrt (* (- y x) z))
247.0ms	(sqrt (* (- y x) z))

simplify63.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	322	1039
1	1451	969
2	5002	949

prune275.0ms

Filtered

202 candidates to 113 candidates (44.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	201	5	206

Merged error: 0b

Counts

206 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (* (- y x) z)) (* (fabs (cbrt (* (- y x) z))) (sqrt (cbrt (* (- y x) z)))))
3.7b	(sqrt (* (- y x) z))
4.3b	(cbrt (* (- y x) z))
4.3b	(cbrt (* (- y x) z))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
67×	`associate-r` `sqrt-prod`
50×	`cbrt-prod`
46×	`unswap-sqr`
45×	`associate-l`
34×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`associate-*l/`
14×	`sqrt-div`
12×	`pow1`
10×	`cbrt-div`
9×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
8×	`associate-*r/`
7×	`*-commutative`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`frac-times` `pow-prod-down` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/3`
1×	`pow1/2`

Counts

4 → 162

Calls

4 calls:

36.0ms	(* (sqrt (* (- y x) z)) (* (fabs (cbrt (* (- y x) z))) (sqrt (cbrt (* (- y x) z)))))
7.0ms	(sqrt (* (- y x) z))
7.0ms	(cbrt (* (- y x) z))
7.0ms	(cbrt (* (- y x) z))

series884.0ms

Counts

4 → 12

Calls

4 calls:

334.0ms	(* (sqrt (* (- y x) z)) (* (fabs (cbrt (* (- y x) z))) (sqrt (cbrt (* (- y x) z)))))
252.0ms	(sqrt (* (- y x) z))
150.0ms	(cbrt (* (- y x) z))
148.0ms	(cbrt (* (- y x) z))

simplify81.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	766	2202
1	2876	2125
2	5003	2106

prune480.0ms

Filtered

174 candidates to 132 candidates (24.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	174	5	179

Merged error: 0b

Counts

179 → 5

regimes90.0ms

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	8	3
1	8	3

end0.0ms

sample395.0ms

Algorithm

intervals

Results

194.0ms

10135×

body

valid