Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

348×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

18.0ms	(+ (* (+ (* x y) z) y) t)
8.0ms	(+ (* x y) z)
26.0ms	(* (+ (* x y) z) y)

series122.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* (+ (* x y) z) y) t)
23.0ms	(+ (* x y) z)
37.0ms	(* (+ (* x y) z) y)

simplify109.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	208	263
1	742	237
2	4187	233
3	5002	233

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (* x y) (* x y)) (* z z))
0.3b	(* (* x y) (* x y))
5.0b	(* (- (* (* x y) (* x y)) (* z z)) y)
15.8b	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-l`
4×	`flip3--` `associate-r` `associate-*l/` `pow-sqr` `pow-prod-up` `flip--`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `swap-sqr` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

29.0ms	(- (* (* x y) (* x y)) (* z z))
26.0ms	(* (* x y) (* x y))
99.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
57.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

series237.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* (* x y) (* x y)) (* z z))
34.0ms	(* (* x y) (* x y))
79.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
67.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

simplify66.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	370	731
1	2117	610
2	5001	610

prune198.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* x y) z))
0.0b	(sqrt (+ (* x y) z))
0.1b	(* (sqrt (+ (* x y) z)) y)
0.2b	(* (sqrt (+ (* x y) z)) (* (sqrt (+ (* x y) z)) y))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

9.0ms	(sqrt (+ (* x y) z))
11.0ms	(sqrt (+ (* x y) z))
27.0ms	(* (sqrt (+ (* x y) z)) y)
65.0ms	(* (sqrt (+ (* x y) z)) (* (sqrt (+ (* x y) z)) y))

series239.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (+ (* x y) z))
65.0ms	(sqrt (+ (* x y) z))
77.0ms	(* (sqrt (+ (* x y) z)) y)
35.0ms	(* (sqrt (+ (* x y) z)) (* (sqrt (+ (* x y) z)) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	351	726
1	1267	624
2	5002	610

prune216.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) (sqrt y))
0.2b	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
7×	`sqrt-prod`
6×	`associate-*l/`
4×	`flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

42.0ms	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
7.0ms	(+ (* x y) z)
29.0ms	(* (+ (* x y) z) (sqrt y))
49.0ms	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))

series189.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
19.0ms	(+ (* x y) z)
53.0ms	(* (+ (* x y) z) (sqrt y))
40.0ms	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	314	537
1	1299	458
2	5001	448

prune168.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample616.0ms

Algorithm

intervals

Results

244.0ms

11286×

body

valid