Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

352×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize6.0ms

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))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify131.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

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

prune40.0ms

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) (* z t))) (cbrt (+ (* x y) (* z t))))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))

rewrite27.0ms

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) (* z t))) (cbrt (+ (* x y) (* z t))))
2.0ms	(cbrt (+ (* x y) (* z t)))
2.0ms	(cbrt (+ (* x y) (* z t)))
2.0ms	(cbrt (+ (* x y) (* z t)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
105.0ms	(cbrt (+ (* x y) (* z t)))
109.0ms	(cbrt (+ (* x y) (* z t)))
106.0ms	(cbrt (+ (* x y) (* z t)))

simplify95.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	314	1055
1	1035	988
2	3734	912
3	5002	903

prune259.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (- (* x y) (* z t)))
2.3b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
28.8b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) (* z t)))
2.0ms	(cbrt (- (* x y) (* z t)))
10.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
10.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series451.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ (* x y) (* z t)))
123.0ms	(cbrt (- (* x y) (* z t)))
108.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
114.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify53.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	372	679
1	1329	621
2	5001	600

prune258.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 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))))
1.0b	(sqrt (+ (* x y) (* z t)))
1.0b	(sqrt (+ (* x y) (* z t)))

rewrite32.0ms

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))
19.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(sqrt (+ (* x y) (* z t)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x y) (* z t))
33.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
74.0ms	(sqrt (+ (* x y) (* z t)))
74.0ms	(sqrt (+ (* x y) (* z t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	237	774
1	997	698
2	5001	674

prune199.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes149.0ms

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

sample719.0ms

Algorithm

intervals

Results

449.0ms

10497×

body

valid