Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

305×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	44	3
3	70	3
4	100	3
5	117	3
6	420	3
7	2976	3
8	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.5b	(/ (* x (- y z)) y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

23.0ms	(* x (- y z))
24.0ms	(/ (* x (- y z)) y)

series272.0ms

Counts

2 → 6

Calls

2 calls:

229.0ms	(* x (- y z))
43.0ms	(/ (* x (- y z)) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	299	483
1	1416	328
2	5001	328

prune104.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.1b	(* x (/ (- y z) y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 80

Calls

2 calls:

20.0ms	(/ (- y z) y)
26.0ms	(* x (/ (- y z) y))

series71.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (- y z) y)
41.0ms	(* x (/ (- y z) y))

simplify39.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	270	409
1	1205	378
2	5001	377

prune154.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

3.1b	(* x (* 1 (- 1 (/ z y))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

164×	`distribute-rgt-in` `distribute-lft-in`
156×	`prod-diff`
138×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
108×	`times-frac`
12×	`div-inv`
8×	`add-exp-log`
6×	`pow1` `add-cbrt-cube`
5×	`prod-exp`
4×	`sub-neg` `associate-*r/`
3×	`associate-l` `pow-prod-down` `cbrt-unprod`
1×	`expm1-log1p-u` `flip3--` `1-exp` `associate-r` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 187

Calls

1 calls:

77.0ms

(* x (* 1 (- 1 (/ z y))))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* x (* 1 (- 1 (/ z y))))

simplify78.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	1074	3957
1	3372	2575
2	5001	2131

prune62.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.1b	(/ x (/ y (- y z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

11.0ms	(/ y (- y z))
19.0ms	(/ x (/ y (- y z)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ y (- y z))
42.0ms	(/ x (/ y (- y z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	479	1057
1	2239	1019
2	5002	1016

prune284.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes88.0ms

Accuracy

-12.6% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 3.1b

bsearch27.0ms

Steps

Iters	Range		Point
8	-5.417466375154916e+71	-4.892093976664808e+67	-1.5669822733451465e+71

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	21	7
2	21	7

end0.0ms

sample451.0ms

Algorithm

intervals

Results

189.0ms

9659×

body

valid