Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

328×

body

valid

simplify163.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (54.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- y 1.0) z 1.0)
3.1b	(* (fma (- y 1.0) z 1.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

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

series85.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(fma (- y 1.0) z 1.0)
53.0ms	(* (fma (- y 1.0) z 1.0) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	108	166
1	323	137
2	1922	133
3	5001	133

prune86.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
2.7b	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
10.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

series617.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt x)
191.0ms	(cbrt x)
80.0ms	(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
149.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	273	597
1	1207	457
2	5001	401

prune224.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 1.0 (* (* x z) (- y 1.0)))
3.4b	(* (* x z) (- y 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

1.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
8.0ms	(* (* x z) (- y 1.0))

series112.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
55.0ms	(* (* x z) (- y 1.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	323	512
1	1370	346
2	5001	334

prune108.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (* z y)) (* (* x z) (- 1.0)))
0.0b	(fma x 1.0 (+ (* x (* z y)) (* (* x z) (- 1.0))))
6.6b	(* x (* z y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`distribute-rgt-neg-out`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `unsub-neg` `sum-log` `*-commutative` `flip-+` `fma-udef`

Counts

3 → 46

Calls

3 calls:

5.0ms	(+ (* x (* z y)) (* (* x z) (- 1.0)))
1.0ms	(fma x 1.0 (+ (* x (* z y)) (* (* x z) (- 1.0))))
5.0ms	(* x (* z y))

series176.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* x (* z y)) (* (* x z) (- 1.0)))
74.0ms	(fma x 1.0 (+ (* x (* z y)) (* (* x z) (- 1.0))))
28.0ms	(* x (* z y))

simplify45.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	216	328
1	914	272
2	5001	251

prune140.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

93.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch70.0ms

Steps

Iters	Range		Point
6	2.5947478503916157e-23	1.6421795748574927e-22	2.6215325656918873e-23
9	-1.7117706323798446e-50	-4.018409293723879e-56	-7.582758496517108e-51

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample456.0ms

Algorithm

intervals

Results

237.0ms

10096×

body

valid