Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

327×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	42	6
3	49	6
4	55	6
5	61	6
6	63	6
7	63	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
4.1b	(* (/ x y) z)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-l/` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 117

Calls

3 calls:

8.0ms	(/ (+ x 4.0) y)
36.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
7.0ms	(* (/ x y) z)

series93.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (+ x 4.0) y)
42.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms	(* (/ x y) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	399	743
1	1422	683
2	5001	668

prune278.0ms

Filtered

126 candidates to 89 candidates (70.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ (+ x 4.0) y) (* (/ x y) z))) (cbrt (- (/ (+ x 4.0) y) (* (/ x y) z))))
4.1b	(* (/ x y) z)
4.1b	(* (/ x y) z)
4.1b	(* (/ x y) z)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
45×	`associate-l`
40×	`cbrt-div`
36×	`add-cube-cbrt` `*-un-lft-identity`
30×	`times-frac`
27×	`associate-*l/`
21×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
16×	`cbrt-prod` `frac-times`
15×	`associate-r`
10×	`flip3--` `frac-sub` `flip--` `sub-div` `unswap-sqr`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1/3` `swap-sqr`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 168

Calls

4 calls:

106.0ms	(* (cbrt (- (/ (+ x 4.0) y) (* (/ x y) z))) (cbrt (- (/ (+ x 4.0) y) (* (/ x y) z))))
7.0ms	(* (/ x y) z)
7.0ms	(* (/ x y) z)
11.0ms	(* (/ x y) z)

series278.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt (- (/ (+ x 4.0) y) (* (/ x y) z))) (cbrt (- (/ (+ x 4.0) y) (* (/ x y) z))))
20.0ms	(* (/ x y) z)
20.0ms	(* (/ x y) z)
24.0ms	(* (/ x y) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	482	1727
1	1736	1634
2	5001	1545

prune513.0ms

Filtered

180 candidates to 125 candidates (69.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (/ x (cbrt y)) z)
4.8b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
46×	`prod-exp`
35×	`add-cbrt-cube`
30×	`add-sqr-sqrt`
29×	`associate-l`
23×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1`
10×	`cbrt-undiv`
6×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* (/ x (cbrt y)) z)
39.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series518.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt y)
176.0ms	(cbrt y)
108.0ms	(* (/ x (cbrt y)) z)
49.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify57.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	484	877
1	2167	680
2	5001	592

prune333.0ms

Filtered

135 candidates to 87 candidates (64.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
6.5b	(* x (/ z y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r/` `associate-l` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 117

Calls

3 calls:

11.0ms	(/ (+ x 4.0) y)
32.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
8.0ms	(* x (/ z y))

series92.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (+ x 4.0) y)
42.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
19.0ms	(* x (/ z y))

simplify48.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	409	748
1	1644	688
2	5001	677

prune272.0ms

Filtered

126 candidates to 87 candidates (69.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes179.0ms

Accuracy

80.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.7b

bsearch62.0ms

Steps

Iters	Range		Point
7	4235524.679815009	873466466.9378852	4360323.742678826
6	-1.1214097119327606e-121	-1.534609564078396e-122	-1.0995490400827057e-121

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	18
1	28	18

end0.0ms

sample497.0ms

Algorithm

intervals

Results

294.0ms

10148×

body

valid