Details

sample56.0ms

Algorithm

intervals

Results

35.0ms

623×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	53	14
1	173	13
2	532	12
3	1681	12
4	4278	12
5	5001	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`*-un-lft-identity` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/` `fma-udef`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `flip3-+` `associate-l` `pow-exp` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
9.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (+ 3.0 a))

series292.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
48.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
106.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (+ 3.0 a))

simplify48.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	335	551
1	1554	479
2	5001	471

prune260.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))
0.6b	(* (* b b) (+ 3.0 a))
0.6b	(* (* b b) (+ 3.0 a))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
15×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `associate-r`
9×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

10.0ms	(pow (+ (* a a) (* b b)) 2.0)
29.0ms	(* (* b b) (+ 3.0 a))
32.0ms	(* (* b b) (+ 3.0 a))
29.0ms	(* (* b b) (+ 3.0 a))

series210.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(pow (+ (* a a) (* b b)) 2.0)
39.0ms	(* (* b b) (+ 3.0 a))
33.0ms	(* (* b b) (+ 3.0 a))
33.0ms	(* (* b b) (+ 3.0 a))

simplify40.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	259	524
1	1255	452
2	5002	447

prune427.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (+ 3.0 a))
18.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

33.0ms	(* (* b b) (+ 3.0 a))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series508.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* b b) (+ 3.0 a))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	270	642
1	1138	585
2	5001	579

prune487.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.5b	(expm1 (log1p (cbrt (pow (+ (* a a) (* b b)) 2.0))))
18.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqr-pow`
1×	`expm1-log1p` `expm1-udef`

Counts

4 → 62

Calls

4 calls:

0.0ms	(expm1 (log1p (cbrt (pow (+ (* a a) (* b b)) 2.0))))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series854.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(expm1 (log1p (cbrt (pow (+ (* a a) (* b b)) 2.0))))
353.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify100.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	118	604
1	245	556
2	794	548
3	3296	542
4	5002	542

prune423.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s

20611×

body

valid