Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

295×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	73	4
3	151	4
4	241	4
5	326	4
6	397	4
7	457	4
8	477	4
9	480	4
10	480	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`-un-lft-identity` `associate-l*`
6×	`associate-r` `associate-*l/`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

25.0ms	(* (- x (/ 16.0 116.0)) 3.0)
31.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series81.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- x (/ 16.0 116.0)) 3.0)
41.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify98.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	204	277
1	862	233
2	4488	233
3	5001	233

prune102.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
4×	`*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `associate-*l/` `difference-of-squares`
1×	`expm1-log1p-u` `flip3--` `times-frac` `associate-r` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

31.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify71.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	165	165
1	575	135
2	2608	135
3	5001	135

prune55.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series751.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt y) (cbrt y))
190.0ms	(cbrt y)
177.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify94.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune237.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.2b	(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
0.5b	(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
12.2b	(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
14×	`associate-l`
11×	`add-cube-cbrt`
8×	`pow1` `times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*l/`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r*` `associate-/r/` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `clear-num` `associate-/l*`

Counts

4 → 101

Calls

4 calls:

3.0ms	(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
41.0ms	(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
11.0ms	(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
18.0ms	(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
70.0ms	(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
72.0ms	(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
108.0ms	(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	435	1119
1	2149	929
2	5002	913

prune250.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes112.0ms

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	11	4
1	11	4

end0.0ms

sample358.0ms

Algorithm

intervals

Results

205.0ms

9163×

body

valid