Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

311×

body

valid

simplify79.0ms

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	750	3
11	1136	3
12	1818	3
13	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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

3.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series75.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (* y (- z x)))
46.0ms	(* y (- z x))

simplify88.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune60.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0b

Counts

48 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series721.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt y) (cbrt y))
178.0ms	(cbrt y)
173.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune160.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

4.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
7.0ms	(* (sqrt y) (- z x))
10.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
72.0ms	(* (sqrt y) (- z x))
46.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	337	476
1	1436	396
2	5002	388

prune120.0ms

Filtered

89 candidates to 55 candidates (61.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	89	4	93

Merged error: 0b

Counts

93 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

34×	`distribute-rgt-in` `distribute-lft-in`
32×	`sqrt-prod`
24×	`associate-l`
23×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`sub-neg`
12×	`associate-*r/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
4×	`sqrt-pow1` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

2.0ms	(sqrt (sqrt y))
10.0ms	(* (sqrt y) (- z x))
11.0ms	(* (sqrt (sqrt y)) (* (sqrt y) (- z x)))
15.0ms	(* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) (- z x))))

series445.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(sqrt (sqrt y))
73.0ms	(* (sqrt y) (- z x))
197.0ms	(* (sqrt (sqrt y)) (* (sqrt y) (- z x)))
42.0ms	(* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) (- z x))))

simplify59.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	480	988
1	1902	733
2	5001	695

prune203.0ms

Filtered

140 candidates to 77 candidates (55.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	140	4	144

Merged error: 0b

Counts

144 → 4

regimes73.0ms

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

sample461.0ms

Algorithm

intervals

Results

254.0ms

10200×

body

valid

Details

sample17.0ms

simplify79.0ms

prune2.0ms

localize6.0ms

rewrite13.0ms

series75.0ms

simplify88.0ms

prune60.0ms

localize9.0ms

rewrite11.0ms

series721.0ms

simplify90.0ms

prune160.0ms

localize8.0ms

rewrite24.0ms

series162.0ms

simplify44.0ms

prune120.0ms

localize10.0ms

rewrite42.0ms

series445.0ms

simplify59.0ms

prune203.0ms

regimes73.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample461.0ms

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