Details

sample51.0ms

Algorithm

intervals

Results

27.0ms

413×

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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:

43.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
2.0ms	(+ (* x y) (* z t))
11.0ms	(+ (+ (* x y) (* z t)) (* a b))

series299.0ms

Counts

3 → 9

Calls

3 calls:

209.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
34.0ms	(+ (* x y) (* z t))
56.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify37.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

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

prune142.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.3b	(cbrt (+ (* x y) (* z t)))
1.3b	(cbrt (+ (* x y) (* z t)))
1.3b	(cbrt (+ (* x y) (* z t)))

rewrite28.0ms

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)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
104.0ms	(cbrt (+ (* x y) (* z t)))
104.0ms	(cbrt (+ (* x y) (* z t)))
104.0ms	(cbrt (+ (* x y) (* z t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (81.0ms)

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

prune378.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (+ (* x y) (* z t)))
1.3b	(cbrt (+ (* x y) (* z t)))
1.3b	(cbrt (+ (* x y) (* z t)))
1.3b	(cbrt (+ (* x y) (* z t)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(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)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (+ (* x y) (* z t)))
104.0ms	(cbrt (+ (* x y) (* z t)))
103.0ms	(cbrt (+ (* x y) (* z t)))
103.0ms	(cbrt (+ (* x y) (* z t)))

simplify89.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (83.0ms)

Iter	Nodes	Cost
0	179	560
1	466	524
2	1245	500
3	2933	496
4	5001	488

prune345.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (+ (* x y) (* z t))) 6)
1.3b	(cbrt (+ (* x y) (* z t)))
1.3b	(cbrt (+ (* x y) (* z t)))
27.7b	(pow (pow (cbrt (+ (* x y) (* z t))) 6) 1/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`pow1` `pow-exp`
4×	`cbrt-div` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
2×	`flip3-+` `flip-+`
1×	`unpow1/3`

Counts

4 → 74

Calls

4 calls:

7.0ms	(pow (cbrt (+ (* x y) (* z t))) 6)
2.0ms	(cbrt (+ (* x y) (* z t)))
2.0ms	(cbrt (+ (* x y) (* z t)))
9.0ms	(pow (pow (cbrt (+ (* x y) (* z t))) 6) 1/3)

series504.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(pow (cbrt (+ (* x y) (* z t))) 6)
104.0ms	(cbrt (+ (* x y) (* z t)))
106.0ms	(cbrt (+ (* x y) (* z t)))
177.0ms	(pow (pow (cbrt (+ (* x y) (* z t))) 6) 1/3)

simplify45.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	368	705
1	1251	647
2	5002	561

prune298.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes450.0ms

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

sample1.5s

Algorithm

intervals

Results

911.0ms

13676×

body

valid