Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

342×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (32.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b	(/ (- x z) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `associate-+r+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv`

Counts

2 → 51

Calls

2 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

simplify82.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	263	320
1	854	293
2	3889	293
3	5001	293

prune66.0ms

Filtered

57 candidates to 42 candidates (26.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (* (- x z) (/ 1 y)))))
0.2b	(* (- x z) (/ 1 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-times` `associate-+r+` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 55

Calls

2 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (* (- x z) (/ 1 y)))))
10.0ms	(* (- x z) (/ 1 y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.75 (* (- x z) (/ 1 y)))))
6.0ms	(* (- x z) (/ 1 y))

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	342	356
1	1449	308
2	5001	290

prune63.0ms

Filtered

61 candidates to 42 candidates (31.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Merged error: 0b

Counts

64 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y)))))
0.0b	(sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y)))))
0.2b	(* (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))) (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
24×	`add-cube-cbrt` `sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
15×	`times-frac`
10×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log` `flip3-+` `swap-sqr` `add-cbrt-cube` `flip-+`
6×	`associate-r` `associate-l`
5×	`pow-prod-up` `associate-/l*`
4×	`frac-times` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`pow-prod-down` `associate-/r*` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `div-inv`

Counts

4 → 125

Calls

4 calls:

6.0ms	(/ (- x z) y)
2.0ms	(sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y)))))
2.0ms	(sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y)))))
11.0ms	(* (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))) (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (- x z) y)
16.0ms	(sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y)))))
16.0ms	(sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y)))))
8.0ms	(* (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))) (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))))

simplify51.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	392	1214
1	1538	1100
2	5003	1074

prune172.0ms

Filtered

137 candidates to 85 candidates (38.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Merged error: 0b

Counts

140 → 3

regimes131.0ms

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	14	5
1	14	5

end0.0ms

sample727.0ms

Algorithm

intervals

Results

370.0ms

10055×

body

valid

Details

sample27.0ms

simplify85.0ms

prune7.0ms

localize7.0ms

rewrite10.0ms

series13.0ms

simplify82.0ms

prune66.0ms

localize9.0ms

rewrite14.0ms

series13.0ms

simplify36.0ms

prune63.0ms

localize10.0ms

rewrite25.0ms

series46.0ms

simplify51.0ms

prune172.0ms

regimes131.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample727.0ms

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