Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

437×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

3.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series465.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* z t))
230.0ms	(+ (+ (* x y) (* z t)) (* a b))
203.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify39.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
2.4b	(cbrt (+ (* x y) (* z t)))
2.4b	(cbrt (+ (* x y) (* z t)))
2.4b	(cbrt (+ (* x y) (* z t)))

rewrite23.0ms

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:

10.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
99.0ms	(cbrt (+ (* x y) (* z t)))
98.0ms	(cbrt (+ (* x y) (* z t)))
100.0ms	(cbrt (+ (* x y) (* z t)))

simplify96.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (86.0ms)

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

prune372.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite39.0ms

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:

7.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
17.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series434.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
96.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
98.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
143.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify114.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	282	1777
1	1027	1653
2	4844	1516
3	5001	1506

prune342.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(* (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.9b	(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
42×	`add-sqr-sqrt`
32×	`cbrt-div`
24×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
8×	`flip3-+` `flip-+`
7×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 118

Calls

4 calls:

8.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
8.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
23.0ms	(* (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
10.0ms	(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

series514.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
96.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
134.0ms	(* (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
186.0ms	(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

simplify60.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	397	2566
1	1528	2238
2	5001	2139

prune519.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes632.0ms

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	22	7
1	22	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

554.0ms

13676×

body

valid