Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

329×

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	1212	3
12	1786	3
13	3407	3
14	5002	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

6.0ms	(* y (- z x))
10.0ms	(+ x (* y (- z x)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* y (- z x))
42.0ms	(+ x (* y (- z x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	172	186
1	731	171
2	3521	171
3	5003	171

prune77.0ms

Filtered

49 candidates to 29 candidates (59.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0b

Counts

50 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
2.2b	(cbrt (* y (- z x)))
2.2b	(cbrt (* y (- z x)))
2.2b	(cbrt (* y (- z x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

118×	`cbrt-prod`
81×	`add-sqr-sqrt`
56×	`associate-r`
53×	`*-un-lft-identity`
40×	`associate-l`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
21×	`swap-sqr`
20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`*-commutative` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 165

Calls

4 calls:

19.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
6.0ms	(cbrt (* y (- z x)))
6.0ms	(cbrt (* y (- z x)))
6.0ms	(cbrt (* y (- z x)))

series665.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
180.0ms	(cbrt (* y (- z x)))
153.0ms	(cbrt (* y (- z x)))
160.0ms	(cbrt (* y (- z x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	363	1501
1	1306	1419
2	5002	1326

prune427.0ms

Filtered

177 candidates to 126 candidates (71.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	177	4	181

Merged error: 0b

Counts

181 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`associate-l` `sqrt-prod`
24×	`associate-r`
16×	`sqrt-div`
14×	`add-cube-cbrt` `unswap-sqr`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
3×	`*-commutative` `distribute-lft-out`
2×	`associate-*l/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 111

Calls

4 calls:

3.0ms	(sqrt (- z x))
18.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
7.0ms	(* y (sqrt (- z x)))
16.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (- z x))
29.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
97.0ms	(* y (sqrt (- z x)))
40.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	430	835
1	1759	688
2	5002	667

prune242.0ms

Filtered

123 candidates to 78 candidates (63.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Merged error: 0b

Counts

127 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.2b	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
1.8b	(sqrt (* y (- z x)))
1.8b	(sqrt (* y (- z x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

106×	`sqrt-prod`
90×	`add-sqr-sqrt`
61×	`pow1`
56×	`associate-r`
52×	`*-un-lft-identity`
40×	`associate-l`
32×	`sqrt-pow1`
28×	`add-cube-cbrt`
24×	`unswap-sqr`
23×	`swap-sqr` `pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`pow-prod-up`
9×	`flip3--` `flip--` `distribute-lft-out--`
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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 192

Calls

4 calls:

6.0ms	(* y (- z x))
25.0ms	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
6.0ms	(sqrt (* y (- z x)))
6.0ms	(sqrt (* y (- z x)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* y (- z x))
99.0ms	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
66.0ms	(sqrt (* y (- z x)))
53.0ms	(sqrt (* y (- z x)))

simplify89.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	321	1048
1	1491	981
2	5001	959

prune402.0ms

Filtered

204 candidates to 112 candidates (54.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	204	4	208

Merged error: 0b

Counts

208 → 4

regimes74.0ms

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

sample403.0ms

Algorithm

intervals

Results

192.0ms

9931×

body

valid