Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

281×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	6
1	46	6
2	73	6
3	99	6
4	119	6
5	145	6
6	178	6
7	253	6
8	333	6
9	467	6
10	467	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(/ (* y z) 2.0)
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `diff-log` `div-exp` `sum-log`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `associate-l/` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l`

Counts

3 → 50

Calls

3 calls:

5.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
3.0ms	(/ (* y z) 2.0)
32.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series124.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
20.0ms	(/ (* y z) 2.0)
53.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify36.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	282	355
1	1056	330
2	5001	330

prune128.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
1.8b	(+ (* t (- t (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
4.3b	(+ (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3) (pow t 3))
43.5b	(/ (+ (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3) (pow t 3)) (+ (* t (- t (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

75×	`associate-*r/`
72×	`*-un-lft-identity`
70×	`flip3--` `flip--`
60×	`frac-add`
55×	`associate-*l/`
45×	`frac-times`
40×	`frac-sub`
32×	`associate-/r/`
27×	`times-frac`
25×	`distribute-lft-out`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`unpow-prod-down` `cube-prod`
11×	`pow1`
9×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `associate-+l+`
5×	`sum-cubes`
4×	`associate-+r+` `flip3-+` `flip-+`
3×	`swap-sqr` `associate-r` `associate-l` `associate-/r*`
2×	`+-commutative` `sum-log` `associate-/l/` `associate--r-`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 197

Calls

4 calls:

38.0ms	(* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
22.0ms	(+ (* t (- t (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
64.0ms	(+ (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3) (pow t 3))
227.0ms	(/ (+ (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3) (pow t 3)) (+ (* t (- t (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

series984.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
218.0ms	(+ (* t (- t (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
440.0ms	(+ (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3) (pow t 3))
258.0ms	(/ (+ (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3) (pow t 3)) (+ (* t (- t (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

simplify99.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1075	8254
1	5001	8027

prune886.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes145.0ms

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	16	6
1	16	6

end0.0ms

sample773.0ms

Algorithm

intervals

Results

538.0ms

9161×

body

valid