Details

sample45.0ms

Algorithm

intervals

Results

15.0ms

446×

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

rewrite139.0ms

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:

102.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
29.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(+ (* x y) (* z t))

series269.0ms

Counts

3 → 9

Calls

3 calls:

190.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
49.0ms	(+ (+ (* x y) (* z t)) (* a b))
30.0ms	(+ (* x y) (* z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

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

prune134.0ms

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

rewrite177.0ms

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:

126.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
15.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
17.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
15.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
107.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
110.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
110.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify111.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (99.0ms)

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

prune351.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
3.2b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
29.7b	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

rewrite98.0ms

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×	`pow1/3`
2×	`flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log`

Counts

4 → 55

Calls

4 calls:

14.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
15.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
35.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
32.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

series812.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
112.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
419.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
173.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

simplify47.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	329	937
1	1195	849
2	5001	824

prune361.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
1×	`flip3--` `flip--`

Counts

4 → 52

Calls

4 calls:

17.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
15.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
15.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
17.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
110.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
106.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
109.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify62.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	190	702
1	540	650
2	1900	620
3	5001	614

prune323.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes554.0ms

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

sample1.2s

Algorithm

intervals

Results

460.0ms

13467×

body

valid