Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

325×

body

valid

simplify178.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (66.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize10.0ms

Local error

Found 1 expressions with local error:

3.2b	(* (fma (- y 1.0) z 1.0) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

3.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	94	116
1	301	98
2	1482	94
3	5002	94

prune62.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
2.9b	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

rewrite49.0ms

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:

0.0ms	(cbrt x)
1.0ms	(cbrt x)
36.0ms	(* (* (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)))

series625.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt x)
193.0ms	(cbrt x)
80.0ms	(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
154.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (50.0ms)

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

prune256.0ms

Pruning

6 alts after pruning (5 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))

rewrite20.0ms

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:

0.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
17.0ms	(* (* x z) (- y 1.0))

series115.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
52.0ms	(* (* x z) (- y 1.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (48.0ms)

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

prune119.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))))
2.9b	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))
2.9b	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))
2.9b	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

8.0ms	(cbrt (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))))
10.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))
10.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))
10.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

series852.0ms

Counts

4 → 12

Calls

4 calls:

389.0ms	(cbrt (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))))
161.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))
151.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))
151.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	308	872
1	1073	733
2	5001	660

prune309.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

78% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch79.0ms

Steps

Iters	Range		Point
7	4.007831635398855e-133	1.9349044525646467e-131	1.7138503459389252e-131
8	-1.2718731647064858e+38	-2.4243362836438667e+33	-2.6801859900765786e+35

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample440.0ms

Algorithm

intervals

Results

239.0ms

10109×

body

valid