Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

332×

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: 1.4b

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))
3.0b	(* (/ x y) z)

rewrite44.0ms

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:

7.0ms	(/ (+ x 4.0) y)
25.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
7.0ms	(* (/ x y) z)

series92.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (+ x 4.0) y)
42.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
20.0ms	(* (/ x y) z)

simplify114.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (30.0ms)

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

prune190.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
2.8b	(* (/ x y) (- 1 z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
15.0ms	(* (/ x y) (- 1 z))

series85.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
39.0ms	(* (/ x y) (- 1 z))

simplify47.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	416	496
1	1863	440
2	5001	435

prune159.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- 1 z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
8×	`distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
5×	`associate-l`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
49.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- 1 z)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
175.0ms	(cbrt x)
175.0ms	(cbrt x)
43.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- 1 z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	584	1361
1	3690	848
2	5001	666

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1 z))
0.2b	(cbrt (- 1 z))
0.6b	(* (* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (- 1 z)))
2.3b	(* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
27×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
21×	`add-cbrt-cube`
18×	`pow1` `cbrt-prod`
17×	`prod-exp` `cbrt-unprod`
15×	`add-cube-cbrt`
14×	`associate-l`
10×	`times-frac` `associate-r`
9×	`pow-prod-down`
6×	`difference-of-squares`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out--`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 167

Calls

4 calls:

2.0ms	(cbrt (- 1 z))
2.0ms	(cbrt (- 1 z))
105.0ms	(* (* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (- 1 z)))
30.0ms	(* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (- 1 z))
38.0ms	(cbrt (- 1 z))
38.0ms	(* (* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (- 1 z)))
99.0ms	(* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z))))

simplify82.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	819	2348
1	2748	2120
2	5002	2060

prune464.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

end0.0ms

sample502.0ms

Algorithm

intervals

Results

296.0ms

10102×

body

valid