Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

342×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* z t))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ (* x y) (* z t))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(+ (* x y) (* z t))

simplify115.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune35.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.2b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.5b	(sqrt (+ (* x y) (* z t)))
0.5b	(sqrt (+ (* x y) (* z t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
18.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x y) (* z t))
33.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
70.0ms	(sqrt (+ (* x y) (* z t)))
71.0ms	(sqrt (+ (* x y) (* z t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	237	768
1	959	698
2	5002	674

prune200.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* x y) (* z t))) (* (fabs (cbrt (+ (* x y) (* z t)))) (sqrt (cbrt (+ (* x y) (* z t))))))
0.5b	(sqrt (+ (* x y) (* z t)))
1.2b	(cbrt (+ (* x y) (* z t)))
1.2b	(cbrt (+ (* x y) (* z t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div`
10×	`pow1` `add-sqr-sqrt` `cbrt-div`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`associate-*r/`
6×	`cbrt-prod` `associate-l` `sqrt-prod`
4×	`frac-times` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `associate-*l/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 70

Calls

4 calls:

25.0ms	(* (sqrt (+ (* x y) (* z t))) (* (fabs (cbrt (+ (* x y) (* z t)))) (sqrt (cbrt (+ (* x y) (* z t))))))
3.0ms	(sqrt (+ (* x y) (* z t)))
2.0ms	(cbrt (+ (* x y) (* z t)))
2.0ms	(cbrt (+ (* x y) (* z t)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (sqrt (+ (* x y) (* z t))) (* (fabs (cbrt (+ (* x y) (* z t)))) (sqrt (cbrt (+ (* x y) (* z t))))))
73.0ms	(sqrt (+ (* x y) (* z t)))
101.0ms	(cbrt (+ (* x y) (* z t)))
102.0ms	(cbrt (+ (* x y) (* z t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	444	1108
1	1424	1012
2	5001	982

prune294.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z t) (* z t))
0.2b	(* (* x y) (* x y))
2.9b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
28.3b	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

11.0ms	(* (* z t) (* z t))
9.0ms	(* (* x y) (* x y))
10.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
30.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* z t) (* z t))
30.0ms	(* (* x y) (* x y))
103.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
76.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify72.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	413	954
1	2306	805
2	5002	788

prune191.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes146.0ms

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	10	3
1	10	3

end0.0ms

sample744.0ms

Algorithm

intervals

Results

490.0ms

10527×

body

valid