Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
6.0ms	267×	body	80	nan

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	39	7
2	61	7
3	80	7
4	105	7
5	114	7
6	114	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.1b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

27.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms	(* 6.0 (- x 1.0))
44.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series144.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
36.0ms	(* 6.0 (- x 1.0))
71.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify49.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	377	495
1	1642	421
2	5001	420

prune143.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.0b	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
4×	`associate-/r/`
3×	`flip3-+` `associate-l` `associate-/r*` `sum-log` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

3 → 93

Calls

3 calls:

29.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
44.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
89.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series168.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
65.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
67.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	439	987
1	1809	895
2	5003	893

prune232.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b	(/ (* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.3b	(* (sqrt 6.0) (- x 1.0))
0.8b	(* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`associate-l`
11×	`pow1` `add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`add-log-exp`
7×	`prod-exp` `sqrt-prod` `cbrt-unprod`
6×	`sub-neg` `associate-r`
4×	`pow-prod-down`
3×	`cbrt-undiv` `flip3--` `times-frac` `div-exp` `associate-/r*` `sum-log` `flip--`
2×	`flip3-+` `associate-/r/` `*-commutative` `flip-+` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

28.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
70.0ms	(/ (* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
23.0ms	(* (sqrt 6.0) (- x 1.0))
39.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
150.0ms	(/ (* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
73.0ms	(* (sqrt 6.0) (- x 1.0))
102.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	484	816
1	2478	665
2	5002	652

prune204.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample648.0ms

Algorithm

intervals

Results

229.0ms	8000×	body	80	valid
188.0ms	7864×	body	80	nan