Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

309×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	28	3
3	40	3
4	50	3
5	73	3
6	102	3
7	118	3
8	145	3
9	174	3
10	190	3
11	190	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- y x) z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

21.0ms

(+ x (/ (- y x) z))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(+ x (/ (- y x) z))

simplify30.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	85	81
1	281	74
2	1121	74
3	5001	74

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
0.6b	(cbrt (+ x (/ (- y x) z)))
0.6b	(cbrt (+ x (/ (- y x) z)))
0.6b	(cbrt (+ x (/ (- y x) z)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

160.0ms	(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
19.0ms	(cbrt (+ x (/ (- y x) z)))
21.0ms	(cbrt (+ x (/ (- y x) z)))
19.0ms	(cbrt (+ x (/ (- y x) z)))

series715.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
152.0ms	(cbrt (+ x (/ (- y x) z)))
153.0ms	(cbrt (+ x (/ (- y x) z)))
154.0ms	(cbrt (+ x (/ (- y x) z)))

simplify151.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	281	1163
1	927	1097
2	4851	1007
3	5001	1007

prune249.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

4.3b	(- (* x x) (* (/ (- y x) z) (/ (- y x) z)))
14.8b	(/ (* (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z)))) (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))) (* (cbrt (- x (/ (- y x) z))) (cbrt (- x (/ (- y x) z)))))
29.5b	(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))
29.5b	(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
15×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

8.0ms	(- (* x x) (* (/ (- y x) z) (/ (- y x) z)))
77.0ms	(/ (* (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z)))) (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))) (* (cbrt (- x (/ (- y x) z))) (cbrt (- x (/ (- y x) z)))))
6.0ms	(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))
6.0ms	(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))

series5.5s

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (* x x) (* (/ (- y x) z) (/ (- y x) z)))
5.0s	(/ (* (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z)))) (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))) (* (cbrt (- x (/ (- y x) z))) (cbrt (- x (/ (- y x) z)))))
219.0ms	(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))
224.0ms	(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	447	1847
1	1589	1522
2	5002	1489

prune353.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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	7	3
1	7	3

end0.0ms

sample463.0ms

Algorithm

intervals

Results

186.0ms

10049×

body

valid