Details

sample53.0ms

Algorithm

intervals

Results

35.0ms

458×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	69	42
1	231	42
2	900	42
3	3753	42
4	5001	42

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite10.2s

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log` `add-cbrt-cube`
98×	`prod-exp` `cbrt-unprod`
69×	`pow1`
49×	`pow-prod-down`
39×	`associate-l`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`associate-r` `associate-l/` `sqrt-prod` `-commutative` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 157

Calls

4 calls:

653.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
62.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
9.5s	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series186.0ms

Counts

4 → 10

Calls

4 calls:

63.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
50.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
73.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify95.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	948	2073
1	3993	1269
2	5001	1096

prune665.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (sqrt 1.0) 21.0) (pow (fabs x) 6))
0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite754.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log`
75×	`add-cbrt-cube`
56×	`add-sqr-sqrt`
48×	`associate-l` `prod-exp`
44×	`cbrt-unprod`
42×	`times-frac`
34×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
21×	`pow-prod-down`
15×	`sqrt-prod`
11×	`div-exp`
9×	`cbrt-undiv` `associate-r` `unswap-sqr`
6×	`unpow-prod-down`
4×	`add-log-exp` `sqr-pow`
3×	`associate-l/` `-commutative` `div-inv`
2×	`pow-to-exp` `pow-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 154

Calls

4 calls:

27.0ms	(* (/ (sqrt 1.0) 21.0) (pow (fabs x) 6))
655.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
63.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series207.0ms

Counts

4 → 10

Calls

4 calls:

99.0ms	(* (/ (sqrt 1.0) 21.0) (pow (fabs x) 6))
59.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify93.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	806	1390
1	3722	1101
2	5002	1063

prune681.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(* (cbrt 21.0) (cbrt 21.0))
1.0b	(sqrt PI)

rewrite740.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-exp-log`
70×	`add-cbrt-cube`
43×	`prod-exp` `cbrt-unprod`
41×	`pow1`
36×	`add-sqr-sqrt`
32×	`associate-l`
27×	`add-cube-cbrt` `*-un-lft-identity`
23×	`pow-prod-down`
18×	`times-frac`
16×	`cbrt-prod`
8×	`cbrt-undiv` `div-exp` `associate-r`
6×	`pow1/3` `swap-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`sqrt-prod` `*-commutative`
2×	`associate-*l/` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2`

Counts

4 → 139

Calls

4 calls:

656.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
64.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
12.0ms	(* (cbrt 21.0) (cbrt 21.0))
2.0ms	(sqrt PI)

series109.0ms

Counts

4 → 8

Calls

4 calls:

60.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(* (cbrt 21.0) (cbrt 21.0))
0.0ms	(sqrt PI)

simplify71.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	625	1145
1	2553	811
2	5001	765

prune660.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (sqrt 1.0) 21.0) (pow (fabs x) 4))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)
16.5b	(cbrt (pow (fabs x) 6))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
38×	`add-exp-log`
35×	`associate-l`
33×	`times-frac`
30×	`add-cbrt-cube`
29×	`add-cube-cbrt` `*-un-lft-identity`
18×	`prod-exp`
15×	`sqrt-prod`
14×	`pow1` `cbrt-unprod`
9×	`unpow-prod-down` `unswap-sqr`
8×	`associate-r`
7×	`cbrt-prod`
6×	`div-exp` `pow-prod-down`
5×	`sqr-pow`
4×	`cbrt-undiv` `add-log-exp`
2×	`pow-to-exp` `associate-l/` `pow-exp` `-commutative` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 121

Calls

4 calls:

28.0ms	(* (/ (sqrt 1.0) 21.0) (pow (fabs x) 4))
63.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)
2.0ms	(cbrt (pow (fabs x) 6))

series148.0ms

Counts

4 → 10

Calls

4 calls:

88.0ms	(* (/ (sqrt 1.0) 21.0) (pow (fabs x) 4))
45.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)
15.0ms	(cbrt (pow (fabs x) 6))

simplify73.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	569	913
1	2555	789
2	5001	759

prune654.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes96.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	37
1	48	37

end0.0ms

sample1.2s

Algorithm

intervals

Results

965.0ms

13993×

body

valid