Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

343×

body

valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

21.0ms	(* (- x 1.0) z)
9.0ms	(+ (* x y) (* (- x 1.0) z))

series64.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- x 1.0) z)
35.0ms	(+ (* x y) (* (- x 1.0) z))

simplify96.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	187	183
1	775	166
2	4041	166
3	5001	166

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series731.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt z) (cbrt z))
185.0ms	(cbrt z)
175.0ms	(cbrt z)
170.0ms	(cbrt z)

simplify97.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune205.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
2.1b	(* (- (* x x) (* 1.0 1.0)) z)
6.7b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

22.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
27.0ms	(* (- (* x x) (* 1.0 1.0)) z)
30.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series167.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
43.0ms	(* (- (* x x) (* 1.0 1.0)) z)
63.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	370	531
1	1763	466
2	5001	457

prune145.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1.0))
0.0b	(+ (* x y) (* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0))))
2.1b	(* (- (* x x) (* 1.0 1.0)) z)
6.7b	(* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
32×	`add-exp-log`
25×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-*l/`
7×	`cbrt-unprod` `distribute-lft-out`
6×	`div-exp` `add-log-exp`
5×	`associate-l`
4×	`pow-prod-down` `associate-/r*` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `flip3--` `flip3-+` `1-exp` `flip--` `flip-+` `associate-/l*`
2×	`frac-times` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-*r/` `clear-num` `sum-log` `un-div-inv` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

13.0ms	(/ 1 (+ x 1.0))
11.0ms	(+ (* x y) (* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0))))
28.0ms	(* (- (* x x) (* 1.0 1.0)) z)
66.0ms	(* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (+ x 1.0))
63.0ms	(+ (* x y) (* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0))))
43.0ms	(* (- (* x x) (* 1.0 1.0)) z)
65.0ms	(* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	545	939
1	2787	800
2	5001	764

prune242.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes66.0ms

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	11	4
1	11	4

end0.0ms

sample498.0ms

Algorithm

intervals

Results

223.0ms

10073×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4