Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

442×

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

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

2.0ms	(+ (* x y) (* z t))
11.0ms	(+ (+ (* x y) (* z t)) (* a b))

series90.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* x y) (* z t))
53.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify79.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune96.0ms

Pruning

4 alts after pruning (3 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)))

rewrite80.0ms

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:

58.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series549.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
119.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
117.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
118.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify116.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (103.0ms)

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

prune368.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.3b	(pow (+ (* x y) (* z t)) 3)
34.9b	(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
28.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
4.0ms	(pow (+ (* x y) (* z t)) 3)
4.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

series249.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x y) (* z t))
53.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
127.0ms	(pow (+ (* x y) (* z t)) 3)
34.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	340	578
1	1694	519
2	5001	513

prune222.0ms

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)) (* a b))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite97.0ms

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-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

11.0ms	(+ (+ (* x y) (* z t)) (* a b))
12.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
12.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
59.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series931.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (+ (* x y) (* z t)) (* a b))
420.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
401.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
54.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify48.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	292	1141
1	1294	1043
2	5001	1013

prune279.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes675.0ms

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

539.0ms

13697×

body

valid