Details

sample25.0ms

Algorithm

intervals

Results

17.0ms

306×

body

valid

simplify34.0ms

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: 0.4b

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)

rewrite55.0ms

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:

23.0ms	(* (- x (/ 16.0 116.0)) 3.0)
28.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series76.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (- x (/ 16.0 116.0)) 3.0)
36.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify96.0ms

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

prune93.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

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×	`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:

26.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

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

prune53.0ms

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))

rewrite20.0ms

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:

3.0ms	(- (* 3.0 x) 0.41379310344827586)
15.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

series85.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (* 3.0 x) 0.41379310344827586)
44.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify99.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (94.0ms)

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

prune79.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 3.0 x 0.41379310344827586)
0.1b	(* (fma 3.0 x 0.41379310344827586) (- (* 3.0 x) 0.41379310344827586))
6.0b	(* (* (fma 3.0 x 0.41379310344827586) (- (* 3.0 x) 0.41379310344827586)) y)
9.9b	(/ (* (* (fma 3.0 x 0.41379310344827586) (- (* 3.0 x) 0.41379310344827586)) y) (+ (* 3.0 x) 0.41379310344827586))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r/` `associate-r*` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `times-frac` `div-exp` `associate-/r*` `flip--`
2×	`sub-neg` `associate-/r/` `*-commutative` `associate-/l/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `fma-udef` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

0.0ms	(fma 3.0 x 0.41379310344827586)
11.0ms	(* (fma 3.0 x 0.41379310344827586) (- (* 3.0 x) 0.41379310344827586))
16.0ms	(* (* (fma 3.0 x 0.41379310344827586) (- (* 3.0 x) 0.41379310344827586)) y)
19.0ms	(/ (* (* (fma 3.0 x 0.41379310344827586) (- (* 3.0 x) 0.41379310344827586)) y) (+ (* 3.0 x) 0.41379310344827586))

series318.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma 3.0 x 0.41379310344827586)
116.0ms	(* (fma 3.0 x 0.41379310344827586) (- (* 3.0 x) 0.41379310344827586))
76.0ms	(* (* (fma 3.0 x 0.41379310344827586) (- (* 3.0 x) 0.41379310344827586)) y)
95.0ms	(/ (* (* (fma 3.0 x 0.41379310344827586) (- (* 3.0 x) 0.41379310344827586)) y) (+ (* 3.0 x) 0.41379310344827586))

simplify77.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	413	790
1	2445	627
2	5002	622

prune192.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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

sample609.0ms

Algorithm

intervals

Results

456.0ms

9150×

body

valid