Details

sample38.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
13.0ms	273×	body	80	nan

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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:

9.0ms	(* 6.0 (- x 1.0))
13.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
23.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series151.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* 6.0 (- x 1.0))
34.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
77.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (39.0ms)

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

prune137.0ms

Pruning

3 alts after pruning (3 fresh and 0 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	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.1b	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite82.0ms

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:

13.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
45.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
21.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series181.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
77.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
70.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (43.0ms)

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

prune212.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
0.1b	(* (* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
0.2b	(* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0)
15.7b	(/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

4.0ms	(+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
57.0ms	(* (* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
23.0ms	(* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0)
10.0ms	(/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
114.0ms	(* (* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
62.0ms	(* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0)
55.0ms	(/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

simplify97.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	679	2076
1	3109	1821
2	5001	1802

prune323.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
0.1b	(* (* (- x 1.0) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
16.4b	(/ (* (* (- x 1.0) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x)))) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

17.0ms	(- (+ x 1.0) (* 4.0 (sqrt x)))
4.0ms	(+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
41.0ms	(* (* (- x 1.0) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
37.0ms	(/ (* (* (- x 1.0) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x)))) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms	(+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
71.0ms	(* (* (- x 1.0) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
120.0ms	(/ (* (* (- x 1.0) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x)))) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

simplify103.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	611	1376
1	3426	1150
2	5002	1144

prune256.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

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

sample1.1s

Algorithm

intervals

Results

482.0ms	8000×	body	80	valid
397.0ms	8186×	body	80	nan