Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

340×

body

valid

simplify119.0ms

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: 2.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.4b	(* (/ x y) (- z t))

rewrite52.0ms

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:

20.0ms	(+ (* (/ x y) (- z t)) t)
29.0ms	(* (/ x y) (- z t))

series80.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (/ x y) (- z t)) t)
46.0ms	(* (/ x y) (- z t))

simplify34.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

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

prune128.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite105.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
98.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series569.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt y)
170.0ms	(cbrt y)
181.0ms	(cbrt y)
47.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	590	1382
1	3247	864
2	5001	677

prune253.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.8b	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `sqrt-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`rem-sqrt-square` `times-frac`
1×	`sqrt-pow1` `pow1/2` `sqrt-div` `div-inv`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series590.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
176.0ms	(cbrt y)
175.0ms	(cbrt y)
60.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (68.0ms)

Iter	Nodes	Cost
0	113	281
1	252	259
2	754	253
3	2927	248
4	5001	236

prune434.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
2.4b	(* (/ (cbrt x) y) (- z t))
3.9b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
47×	`add-sqr-sqrt`
35×	`associate-l` `add-cbrt-cube`
34×	`prod-exp`
31×	`*-un-lft-identity`
29×	`cbrt-prod` `add-cube-cbrt`
23×	`times-frac`
21×	`cbrt-unprod`
18×	`pow1` `div-exp`
12×	`associate-r`
11×	`frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
7×	`pow1/3` `unswap-sqr`
6×	`sub-neg` `flip3--` `1-exp` `swap-sqr` `pow-prod-down` `flip--`
4×	`associate-*l/` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 164

Calls

4 calls:

1.0ms	(cbrt x)
13.0ms	(* (cbrt x) (cbrt x))
34.0ms	(* (/ (cbrt x) y) (- z t))
70.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series583.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt x)
187.0ms	(* (cbrt x) (cbrt x))
145.0ms	(* (/ (cbrt x) y) (- z t))
76.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify116.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	750	1298
1	3984	997
2	5002	895

prune363.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample649.0ms

Algorithm

intervals

Results

264.0ms

10739×

body

valid