Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

343×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x y (* (- x 1.0) z))
24.0ms	(* (- x 1.0) z)

series63.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma x y (* (- x 1.0) z))
30.0ms	(* (- x 1.0) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	133	158
1	462	135
2	2228	135
3	5001	135

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
2.1b	(* (- (* x x) (* 1.0 1.0)) z)
6.7b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

0.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
28.0ms	(* (- (* x x) (* 1.0 1.0)) z)
25.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series163.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
41.0ms	(* (- (* x x) (* 1.0 1.0)) z)
59.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	325	510
1	1502	435
2	5001	421

prune167.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0))))
0.0b	(/ 1 (+ x 1.0))
2.1b	(* (- (* x x) (* 1.0 1.0)) z)
6.7b	(* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
32×	`add-exp-log`
25×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-*l/`
7×	`cbrt-unprod` `distribute-lft-out`
6×	`div-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `associate-/l*`
2×	`frac-times` `flip3-+` `*-commutative` `flip-+` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `fma-udef` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

0.0ms	(fma x y (* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0))))
12.0ms	(/ 1 (+ x 1.0))
29.0ms	(* (- (* x x) (* 1.0 1.0)) z)
65.0ms	(* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma x y (* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0))))
22.0ms	(/ 1 (+ x 1.0))
44.0ms	(* (- (* x x) (* 1.0 1.0)) z)
57.0ms	(* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	503	922
1	2468	772
2	5002	729

prune265.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

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	8	3
1	8	3

end0.0ms

sample501.0ms

Algorithm

intervals

Results

220.0ms

10073×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3