Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

297×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	3
1	31	3
2	56	3
3	62	3
4	62	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 4.0) z))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

2.0ms

(- x (* (* y 4.0) z))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(- x (* (* y 4.0) z))

simplify56.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	79
1	288	72
2	1507	72
3	5001	72

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
0.6b	(cbrt (- x (* (* y 4.0) z)))
0.6b	(cbrt (- x (* (* y 4.0) z)))
0.6b	(cbrt (- x (* (* y 4.0) z)))

rewrite25.0ms

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:

18.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
2.0ms	(cbrt (- x (* (* y 4.0) z)))
1.0ms	(cbrt (- x (* (* y 4.0) z)))
2.0ms	(cbrt (- x (* (* y 4.0) z)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
149.0ms	(cbrt (- x (* (* y 4.0) z)))
152.0ms	(cbrt (- x (* (* y 4.0) z)))
147.0ms	(cbrt (- x (* (* y 4.0) z)))

simplify148.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	266	1035
1	914	970
2	4618	912
3	5001	906

prune253.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y 4.0) z))
0.2b	(* (* (* y 4.0) z) (* (* y 4.0) z))
2.3b	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
30.9b	(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
66×	`pow-prod-down`
42×	`add-exp-log` `add-cbrt-cube`
27×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`pow-sqr` `pow-prod-up`
8×	`add-log-exp`
5×	`difference-of-squares`
4×	`associate-/l*`
3×	`pow-plus` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 120

Calls

4 calls:

2.0ms	(+ x (* (* y 4.0) z))
35.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
3.0ms	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
11.0ms	(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (* (* y 4.0) z))
38.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
99.0ms	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
85.0ms	(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

simplify79.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	453	1119
1	2446	943
2	5001	941

prune199.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (* y 4.0) z)))
0.6b	(cbrt (- x (* (* y 4.0) z)))
0.6b	(cbrt (- x (* (* y 4.0) z)))
2.2b	(exp (log (cbrt (- x (* (* y 4.0) z)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
6×	`log-prod` `exp-sum`
5×	`pow1` `exp-prod`
4×	`add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`log-div` `exp-diff` `log-pow`
1×	`rem-exp-log`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt (- x (* (* y 4.0) z)))
1.0ms	(cbrt (- x (* (* y 4.0) z)))
1.0ms	(cbrt (- x (* (* y 4.0) z)))
3.0ms	(exp (log (cbrt (- x (* (* y 4.0) z)))))

series610.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (- x (* (* y 4.0) z)))
148.0ms	(cbrt (- x (* (* y 4.0) z)))
154.0ms	(cbrt (- x (* (* y 4.0) z)))
153.0ms	(exp (log (cbrt (- x (* (* y 4.0) z)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	190	596
1	467	560
2	1739	537
3	5002	527

prune236.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes132.0ms

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	9	3
1	9	3

end0.0ms

sample514.0ms

Algorithm

intervals

Results

328.0ms

9146×

body

valid