Details

sample32.0ms

Algorithm

intervals

Results

11.0ms

361×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
4.7b	(* (* a z) b)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

82.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ x (* y z))
20.0ms	(+ (+ x (* y z)) (* t a))
19.0ms	(* (* a z) b)

series195.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(+ x (* y z))
48.0ms	(+ (+ x (* y z)) (* t a))
29.0ms	(* (* a z) b)

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune166.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
4.7b	(* (* a z) b)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

11.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
11.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
13.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
16.0ms	(* (* a z) b)

series595.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
185.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
188.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
26.0ms	(* (* a z) b)

simplify116.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	277	571
1	1012	520
2	4879	499
3	5001	499

prune245.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* a (+ (* z b) t)))
2.4b	(* a (+ (* z b) t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

5.0ms	(+ x (* y z))
24.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
23.0ms	(* a (+ (* z b) t))

series152.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* y z))
86.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
41.0ms	(* a (+ (* z b) t))

simplify49.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	374	440
1	1800	416
2	5001	416

prune163.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z b) (* z b))
2.5b	(- (* (* z b) (* z b)) (* t t))
9.7b	(* a (- (* (* z b) (* z b)) (* t t)))
20.0b	(/ (* a (- (* (* z b) (* z b)) (* t t))) (- (* z b) t))

rewrite211.0ms

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-r`
4×	`flip3--` `associate-r/` `associate-l*` `pow-sqr` `pow-prod-up` `flip--`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`pow2` `frac-2neg` `diff-log` `swap-sqr` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

24.0ms	(* (* z b) (* z b))
28.0ms	(- (* (* z b) (* z b)) (* t t))
95.0ms	(* a (- (* (* z b) (* z b)) (* t t)))
60.0ms	(/ (* a (- (* (* z b) (* z b)) (* t t))) (- (* z b) t))

series331.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* z b) (* z b))
59.0ms	(- (* (* z b) (* z b)) (* t t))
123.0ms	(* a (- (* (* z b) (* z b)) (* t t)))
117.0ms	(/ (* a (- (* (* z b) (* z b)) (* t t))) (- (* z b) t))

simplify64.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	388	769
1	2128	628
2	5001	628

prune210.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

0% (1.5b remaining)

Error of 2.2b against oracle of 0.7b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample905.0ms

Algorithm

intervals

Results

377.0ms

11769×

body

valid