Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

335×

body

valid

simplify38.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

4.0ms	(+ (* x y) (* (- x 1.0) z))
6.0ms	(* (- x 1.0) z)

series59.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* x y) (* (- x 1.0) z))
29.0ms	(* (- x 1.0) z)

simplify100.0ms

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

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
10.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))

series669.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
155.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
150.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
206.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	317	1282
1	1044	1201
2	5001	1093

prune249.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
4.5b	(* (- (* x x) (* 1.0 1.0)) z)
5.7b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
7.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms	(* (- (* x x) (* 1.0 1.0)) z)
9.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series193.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x x) (* 1.0 1.0))
50.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
43.0ms	(* (- (* x x) (* 1.0 1.0)) z)
58.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	380	611
1	1779	535
2	5001	526

prune178.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))) (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))))
0.3b	(* (* (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))) (cbrt (sqrt (+ (* x y) (* (- x 1.0) z))))) (cbrt (+ (* x y) (* (- x 1.0) z))))
0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
51×	`cbrt-prod`
48×	`sqrt-div`
45×	`add-sqr-sqrt`
35×	`flip3-+` `flip-+`
32×	`frac-times`
20×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
16×	`pow1` `associate-*l/`
15×	`associate-r`
12×	`swap-sqr`
11×	`add-exp-log` `pow1/3` `unswap-sqr`
10×	`associate-r/` `associate-l*`
7×	`pow-prod-down`
5×	`add-cbrt-cube`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 141

Calls

4 calls:

13.0ms	(* (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))) (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))))
18.0ms	(* (* (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))) (cbrt (sqrt (+ (* x y) (* (- x 1.0) z))))) (cbrt (+ (* x y) (* (- x 1.0) z))))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))) (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))))
204.0ms	(* (* (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))) (cbrt (sqrt (+ (* x y) (* (- x 1.0) z))))) (cbrt (+ (* x y) (* (- x 1.0) z))))
152.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
159.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify78.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	535	3296
1	1830	3136
2	5001	2912

prune467.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes78.0ms

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

sample435.0ms

Algorithm

intervals

Results

231.0ms

10102×

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