Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

323×

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

prune4.0ms

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)

rewrite12.0ms

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))
11.0ms	(* (- x 1.0) z)

series64.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma x y (* (- x 1.0) z))
32.0ms	(* (- x 1.0) z)

simplify50.0ms

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

prune91.0ms

Pruning

4 alts after pruning (3 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)))
3.1b	(* (- (* x x) (* 1.0 1.0)) z)
6.9b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite22.0ms

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)))
10.0ms	(* (- (* x x) (* 1.0 1.0)) z)
10.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
39.0ms	(* (- (* x x) (* 1.0 1.0)) z)
59.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

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

prune166.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `flip--` `fma-udef`

Counts

2 → 29

Calls

2 calls:

0.0ms	(fma x y (* 1.0 (- (* x z) z)))
3.0ms	(- (* x z) z)

series56.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma x y (* 1.0 (- (* x z) z)))
23.0ms	(- (* x z) z)

simplify96.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	141	171
1	512	134
2	3001	130
3	5002	127

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0))))
0.0b	(/ z (+ x 1.0))
9.6b	(* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

0.0ms	(fma x y (* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0))))
6.0ms	(/ z (+ x 1.0))
24.0ms	(* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)))

series148.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma x y (* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0))))
31.0ms	(/ z (+ x 1.0))
57.0ms	(* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	396	685
1	1827	613
2	5001	597

prune221.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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	10	4
1	10	4

end0.0ms

sample423.0ms

Algorithm

intervals

Results

223.0ms

10093×

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