Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

454×

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

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:

6.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
4.0ms	(+ (* x y) (* z t))

series295.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ (+ (* x y) (* z t)) (* a b))
209.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
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

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite34.0ms

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)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
113.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
116.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
118.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify119.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	309	1413
1	1083	1317
2	4413	1198
3	5002	1187

prune357.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
16.8b	(/ (* (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))) (* (cbrt (- (+ (* x y) (* z t)) (* a b))) (cbrt (- (+ (* x y) (* z t)) (* a b)))))
28.9b	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))
28.9b	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
15×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3` `associate--l+`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 80

Calls

4 calls:

11.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
41.0ms	(/ (* (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))) (* (cbrt (- (+ (* x y) (* z t)) (* a b))) (cbrt (- (+ (* x y) (* z t)) (* a b)))))
12.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))
10.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

series4.1s

Counts

4 → 12

Calls

4 calls:

441.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
3.3s	(/ (* (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))) (* (cbrt (- (+ (* x y) (* z t)) (* a b))) (cbrt (- (+ (* x y) (* z t)) (* a b)))))
183.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))
186.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

simplify72.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	519	2653
1	1911	2176
2	5003	2131

prune465.0ms

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))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.2b	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite40.0ms

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:

6.0ms	(+ (* x y) (* z t))
6.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
7.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
18.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series7.5s

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x y) (* z t))
3.7s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.5s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
216.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify63.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	380	1434
1	1735	1287
2	5002	1251

prune319.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes482.0ms

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

13674×

body

valid