Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

295×

body

valid

simplify40.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
41×	`add-cube-cbrt`
39×	`prod-diff`
29×	`times-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`associate-r` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `flip--` `log1p-expm1-u` `div-inv`
2×	`*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 106

Calls

3 calls:

8.0ms	(- x (/ 16.0 116.0))
9.0ms	(* (- x (/ 16.0 116.0)) 3.0)
11.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series111.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- x (/ 16.0 116.0))
47.0ms	(* (- x (/ 16.0 116.0)) 3.0)
40.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	510	1245
1	1827	864
2	5001	783

prune194.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.1b	(* y (- (* 3.0 x) 0.41379310344827586))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `prod-diff`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

4.0ms	(- (* 3.0 x) 0.41379310344827586)
7.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

series92.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* 3.0 x) 0.41379310344827586)
47.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify105.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	193	296
1	774	225
2	3395	216
3	5002	212

prune102.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
39×	`prod-diff`
38×	`add-cube-cbrt`
29×	`times-frac`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `flip--` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 84

Calls

2 calls:

8.0ms	(- x (/ 16.0 116.0))
10.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series69.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- x (/ 16.0 116.0))
40.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	474	1133
1	1545	766
2	5002	685

prune133.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.1b	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.2b	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
0.8b	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
39×	`prod-diff`
29×	`times-frac`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`associate-r`
12×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-l`
7×	`sqrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `difference-of-squares`
3×	`fma-neg` `*-commutative` `div-inv`
2×	`distribute-lft-out--` `unswap-sqr`
1×	`sub-neg` `diff-log`

Counts

4 → 138

Calls

4 calls:

8.0ms	(- x (/ 16.0 116.0))
15.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
15.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
14.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series405.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- x (/ 16.0 116.0))
89.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
164.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
128.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	613	1551
1	2537	1101
2	5001	1016

prune246.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes111.0ms

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	9	3
1	9	3

end0.0ms

sample342.0ms

Algorithm

intervals

Results

205.0ms

9148×

body

valid