Details

sample37.0ms

Algorithm

intervals

Results

24.0ms

354×

body

valid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1752	4
11	3021	4
12	4541	4
13	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.1b	(* (/ x y) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
15.0ms	(* (/ x y) (- z t))

series86.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
54.0ms	(* (/ x y) (- z t))

simplify38.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune140.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.1b	(* (/ x y) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
15.0ms	(* (/ x y) (- z t))

series88.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (/ x y) (- z t)) t)
56.0ms	(* (/ x y) (- z t))

simplify40.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune148.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
8×	`distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
5×	`associate-l`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
52.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series603.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
180.0ms	(cbrt x)
182.0ms	(cbrt x)
58.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	590	1382
1	3215	872
2	5001	733

prune267.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
3.3b	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
3.3b	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
3.3b	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `times-frac` `div-inv`

Counts

4 → 53

Calls

4 calls:

0.0ms	(cbrt x)
6.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
6.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
6.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series445.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
87.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
87.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
88.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify80.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (74.0ms)

Iter	Nodes	Cost
0	126	621
1	267	558
2	740	535
3	2655	529
4	5001	511

prune269.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes216.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	34
1	31	34
2	31	34

end0.0ms

sample1.1s

Algorithm

intervals

Results

861.0ms

10682×

body

valid