Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

322×

body

valid

simplify179.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (64.0ms)

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: 2.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.7b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-l`
6×	`pow1` `add-exp-log` `associate-r` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `distribute-lft-in`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

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

series101.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (- 1.0 y) z)
63.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	244	345
1	1005	301
2	5001	292

prune148.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.6b	(* (* x z) (- y 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
29×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`sub-neg` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 82

Calls

2 calls:

7.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
10.0ms	(* (* x z) (- y 1.0))

series143.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
60.0ms	(* (* x z) (- y 1.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	448	736
1	1854	512
2	5001	506

prune201.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* x z) (- y 1.0))
6.9b	(cbrt (* (* x z) (- y 1.0)))
6.9b	(cbrt (* (* x z) (- y 1.0)))
6.9b	(cbrt (* (* x z) (- y 1.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

10.0ms	(* (* x z) (- y 1.0))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))

series863.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* x z) (- y 1.0))
289.0ms	(cbrt (* (* x z) (- y 1.0)))
250.0ms	(cbrt (* (* x z) (- y 1.0)))
257.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	491	1055
1	1922	856
2	5001	844

prune353.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
0.0b	(+ (* x (* z y)) (* (* x z) (- 1.0)))
6.5b	(* x (* z y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

9.0ms	(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
6.0ms	(+ (* x (* z y)) (* (* x z) (- 1.0)))
6.0ms	(* x (* z y))

series202.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
87.0ms	(+ (* x (* z y)) (* (* x z) (- 1.0)))
32.0ms	(* x (* z y))

simplify61.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	294	398
1	1302	351
2	5001	321

prune180.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

74.7% (0.4b remaining)

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

bsearch68.0ms

Steps

Iters	Range		Point
3	1.876018504326215e+114	2.2903267643083624e+114	2.0054898355706359e+114
8	-374005510135422.8	-158263322267.72745	-7173096633543.6045

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	13
1	39	13
2	46	13
3	46	13

end0.0ms

sample758.0ms

Algorithm

intervals

Results

522.0ms

10150×

body

valid