Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

324×

body

valid

simplify29.0ms

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	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	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 y) (* (- 1.0 x) z))
0.0b	(* (- 1.0 x) z)

rewrite13.0ms

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:

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

series60.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* x y) (* (- 1.0 x) z))
31.0ms	(* (- 1.0 x) z)

simplify98.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166

prune74.0ms

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

rewrite26.0ms

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:

2.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
2.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
2.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
18.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))

series657.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
151.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
149.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
211.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	314	1273
1	1039	1192
2	5001	1084

prune262.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* x x))
0.0b	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
3.8b	(* (- (* 1.0 1.0) (* x x)) z)
6.6b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite33.0ms

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:

3.0ms	(- (* 1.0 1.0) (* x x))
10.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
10.0ms	(* (- (* 1.0 1.0) (* x x)) z)
9.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series187.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* 1.0 1.0) (* x x))
55.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
37.0ms	(* (- (* 1.0 1.0) (* x x)) z)
57.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify54.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	379	609
1	1795	534
2	5001	525

prune181.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))) (cbrt (- (* x y) (* (- 1.0 x) z))))
0.5b	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
3.4b	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
28.0b	(cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
51×	`add-sqr-sqrt`
43×	`add-cube-cbrt` `*-un-lft-identity`
42×	`times-frac`
18×	`cbrt-div`
11×	`pow1`
9×	`difference-of-squares`
8×	`add-exp-log`
7×	`pow1/3` `associate-/l*`
6×	`flip3-+` `swap-sqr` `associate-r` `associate-l` `associate-/r*` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `add-cbrt-cube` `flip--` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 146

Calls

4 calls:

31.0ms	(/ (cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))) (cbrt (- (* x y) (* (- 1.0 x) z))))
21.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
11.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
10.0ms	(cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))

series1.2s

Counts

4 → 12

Calls

4 calls:

693.0ms	(/ (cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))) (cbrt (- (* x y) (* (- 1.0 x) z))))
208.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
87.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
258.0ms	(cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))

simplify101.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	583	3231
1	2335	3097
2	5002	3008

prune510.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes70.0ms

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

sample447.0ms

Algorithm

intervals

Results

244.0ms

10149×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4