Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

327×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	38	6
3	45	6
4	51	6
5	54	6
6	54	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize9.0ms

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)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `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 → 79

Calls

3 calls:

9.0ms	(/ (+ x 4.0) y)
8.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms	(* (/ x y) z)

series96.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (+ x 4.0) y)
42.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms	(* (/ x y) z)

simplify119.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	341	425
1	1212	395
2	4978	394
3	5002	394

prune193.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)

rewrite45.0ms

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×	`associate-r/` `-commutative` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 160

Calls

4 calls:

19.0ms	(* (cbrt (- (/ (+ x 4.0) y) (* (/ x y) z))) (cbrt (- (/ (+ x 4.0) y) (* (/ x y) z))))
6.0ms	(* (/ x y) z)
7.0ms	(* (/ x y) z)
6.0ms	(* (/ x y) z)

series279.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (- (/ (+ x 4.0) y) (* (/ x y) z))) (cbrt (- (/ (+ x 4.0) y) (* (/ x y) z))))
20.0ms	(* (/ x y) z)
24.0ms	(* (/ x y) z)
21.0ms	(* (/ x y) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	467	1683
1	1673	1594
2	5001	1500

prune466.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

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))

rewrite30.0ms

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×	`associate-r` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 115

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(* (/ x (cbrt y)) z)
15.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series519.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
180.0ms	(cbrt y)
116.0ms	(* (/ x (cbrt y)) z)
46.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify62.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	478	843
1	2160	646
2	5001	558

prune292.0ms

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))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r/` `associate-l` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `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 → 79

Calls

3 calls:

5.0ms	(/ (+ x 4.0) y)
8.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
6.0ms	(* x (/ z y))

series227.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (+ x 4.0) y)
43.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
158.0ms	(* x (/ z y))

simplify54.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	349	430
1	1432	403
2	5001	403

prune189.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes183.0ms

Accuracy

80.8% (0.3b remaining)

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

bsearch65.0ms

Steps

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

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	19
1	35	19
2	35	19

end0.0ms

sample510.0ms

Algorithm

intervals

Results

302.0ms

10148×

body

valid