Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

306×

body

valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	71	4
3	136	4
4	211	4
5	285	4
6	350	4
7	396	4
8	408	4
9	408	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.4b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite54.0ms

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×	`flip3--` `*-commutative` `flip--` `add-log-exp` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

25.0ms	(* (- x (/ 16.0 116.0)) 3.0)
27.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (- x (/ 16.0 116.0)) 3.0)
38.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify90.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	197	259
1	849	215
2	4422	215
3	5001	215

prune91.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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×	`flip3--` `times-frac` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

26.0ms

(* (- 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))

simplify75.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	161	155
1	566	125
2	2546	125
3	5002	125

prune47.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.3b	(* y (- (* 3.0 x) 0.41379310344827586))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(- (* 3.0 x) 0.41379310344827586)
14.0ms	(* 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))

simplify52.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	137	189
1	512	167
2	1828	166
3	5001	166

prune69.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 3.0 x) 0.41379310344827586)
0.2b	(* (* 3.0 x) (* 3.0 x))
6.0b	(* y (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586)))
9.9b	(/ (* y (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586))) (+ (* 3.0 x) 0.41379310344827586))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-sqr` `pow-prod-up`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `pow2` `frac-2neg` `swap-sqr` `clear-num` `sum-log` `div-inv` `associate-/l*` `difference-of-squares` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

3.0ms	(+ (* 3.0 x) 0.41379310344827586)
9.0ms	(* (* 3.0 x) (* 3.0 x))
40.0ms	(* y (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586)))
20.0ms	(/ (* y (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586))) (+ (* 3.0 x) 0.41379310344827586))

series289.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* 3.0 x) 0.41379310344827586)
31.0ms	(* (* 3.0 x) (* 3.0 x))
88.0ms	(* y (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586)))
136.0ms	(/ (* y (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586))) (+ (* 3.0 x) 0.41379310344827586))

simplify73.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	404	705
1	2046	574
2	5001	574

prune168.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample588.0ms

Algorithm

intervals

Results

444.0ms

9150×

body

valid