Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

318×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (39.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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)

rewrite12.0ms

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))))
8.0ms	(/ (- x z) y)

series60.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
32.0ms	(/ (- x z) y)

simplify88.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	263	320
1	854	293
2	3903	293
3	5001	293

prune122.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

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)))))
0.1b	(* (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))) (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))))

rewrite39.0ms

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:

8.0ms	(/ (- x z) y)
3.0ms	(sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y)))))
3.0ms	(sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y)))))
21.0ms	(* (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))) (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))))

series188.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (- x z) y)
66.0ms	(sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y)))))
65.0ms	(sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y)))))
29.0ms	(* (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))) (sqrt (+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))))

simplify56.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	396	1226
1	1568	1096
2	5003	1070

prune294.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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

sample461.0ms

Algorithm

intervals

Results

269.0ms

9974×

body

valid