Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

346×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

2.0ms	(- 1.0 (* x y))
7.0ms	(* x (- 1.0 (* x y)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- 1.0 (* x y))
42.0ms	(* x (- 1.0 (* x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	190
1	581	168
2	3052	168
3	5001	168

prune66.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* x y))
0.3b	(* (* x y) (* x y))
1.2b	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
5.7b	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite37.0ms

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

Counts

4 → 95

Calls

4 calls:

2.0ms	(+ 1.0 (* x y))
10.0ms	(* (* x y) (* x y))
10.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
12.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ 1.0 (* x y))
31.0ms	(* (* x y) (* x y))
71.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
86.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	397	702
1	2174	578
2	5001	578

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) x)
1.2b	(* x (- (* 1.0 1.0) (* (* (* x y) x) y)))
2.2b	(* (* (* x y) x) y)
5.7b	(/ (* x (- (* 1.0 1.0) (* (* (* x y) x) y))) (+ 1.0 (* x y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
20×	`pow1`
12×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
9×	`associate-r`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `associate-/r/` `flip--` `associate-/l/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

7.0ms	(* (* x y) x)
10.0ms	(* x (- (* 1.0 1.0) (* (* (* x y) x) y)))
21.0ms	(* (* (* x y) x) y)
9.0ms	(/ (* x (- (* 1.0 1.0) (* (* (* x y) x) y))) (+ 1.0 (* x y)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* x y) x)
69.0ms	(* x (- (* 1.0 1.0) (* (* (* x y) x) y)))
31.0ms	(* (* (* x y) x) y)
86.0ms	(/ (* x (- (* 1.0 1.0) (* (* (* x y) x) y))) (+ 1.0 (* x y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	431	720
1	2664	591
2	5002	591

prune171.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* (* x y) x) y))))
0.2b	(* (* x y) x)
2.2b	(* (* (* x y) x) y)
4.4b	(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* (* x y) x) y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
58×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log` `add-cbrt-cube`
18×	`pow1` `associate-/r*`
11×	`associate-/r/`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r` `div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative` `associate-/l/`
1×	`flip3-+` `flip-+`

Counts

4 → 148

Calls

4 calls:

11.0ms	(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* (* x y) x) y))))
6.0ms	(* (* x y) x)
21.0ms	(* (* (* x y) x) y)
10.0ms	(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* (* x y) x) y)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* (* x y) x) y))))
21.0ms	(* (* x y) x)
31.0ms	(* (* (* x y) x) y)
76.0ms	(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* (* x y) x) y)))

simplify104.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	660	2055
1	3638	1919
2	5001	1919

prune341.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.1b 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	8	3
1	8	3

end0.0ms

sample357.0ms

Algorithm

intervals

Results

193.0ms

10731×

body

valid