Details

sample56.0ms

Algorithm

intervals

Results

33.0ms

431×

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

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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:

42.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
10.0ms	(+ (+ (* x y) (* z t)) (* a b))
2.0ms	(+ (* x y) (* z t))

series295.0ms

Counts

3 → 9

Calls

3 calls:

207.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
51.0ms	(+ (+ (* x y) (* z t)) (* a b))
36.0ms	(+ (* x y) (* z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

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

prune143.0ms

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))))
2.2b	(cbrt (+ (* x y) (* z t)))
2.2b	(cbrt (+ (* x y) (* z t)))
2.2b	(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:

17.0ms	(* (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)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
103.0ms	(cbrt (+ (* x y) (* z t)))
101.0ms	(cbrt (+ (* x y) (* z t)))
103.0ms	(cbrt (+ (* x y) (* z t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (80.0ms)

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

prune360.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.2b	(cbrt (+ (* x y) (* z t)))
2.2b	(cbrt (+ (* x y) (* z t)))
2.2b	(cbrt (+ (* x y) (* z t)))
2.2b	(cbrt (+ (* x y) (* z t)))

rewrite9.0ms

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:

2.0ms	(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)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (+ (* x y) (* z t)))
99.0ms	(cbrt (+ (* x y) (* z t)))
104.0ms	(cbrt (+ (* x y) (* z t)))
103.0ms	(cbrt (+ (* x y) (* z t)))

simplify87.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (81.0ms)

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

prune329.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.2b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite85.0ms

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))
56.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
12.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
12.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

series904.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x y) (* z t))
55.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
408.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
407.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	338	1113
1	1509	1003
2	5001	973

prune295.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes431.0ms

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

sample1.7s

Algorithm

intervals

Results

1.1s

13701×

body

valid