Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	332×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
15.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
9.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)

series157.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
38.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
34.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune182.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
2.0b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
2.0b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
2.0b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

10.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
13.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
13.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
143.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
145.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
147.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	271	1036
1	1002	942
2	5001	873

prune277.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* z (- z (+ y z))) (* (+ y z) (+ y z)))
2.1b	(- z (+ y z))
2.8b	(+ (pow (+ y z) 3) (pow z 3))
38.6b	(/ (+ (pow (+ y z) 3) (pow z 3)) (+ (* z (- z (+ y z))) (* (+ y z) (+ y z))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
66×	`distribute-lft-out`
40×	`unpow-prod-down` `cube-prod` `associate-*r/`
39×	`times-frac`
32×	`frac-add`
28×	`flip3-+` `flip-+`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
18×	`associate-/r/`
17×	`flip3--` `flip--`
16×	`frac-times`
13×	`associate-/l*` `add-log-exp`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sum-cubes`
4×	`pow1` `associate-+l+`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r*` `sum-log`
2×	`+-commutative` `associate-+r+` `diff-log` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+` `difference-of-squares`

Counts

4 → 158

Calls

4 calls:

12.0ms	(+ (* z (- z (+ y z))) (* (+ y z) (+ y z)))
6.0ms	(- z (+ y z))
15.0ms	(+ (pow (+ y z) 3) (pow z 3))
32.0ms	(/ (+ (pow (+ y z) 3) (pow z 3)) (+ (* z (- z (+ y z))) (* (+ y z) (+ y z))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* z (- z (+ y z))) (* (+ y z) (+ y z)))
9.0ms	(- z (+ y z))
55.0ms	(+ (pow (+ y z) 3) (pow z 3))
121.0ms	(/ (+ (pow (+ y z) 3) (pow z 3)) (+ (* z (- z (+ y z))) (* (+ y z) (+ y z))))

simplify104.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	675	2829
1	3468	2729
2	5002	2724

prune479.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample653.0ms

Algorithm

intervals

Results

332.0ms	10640×	body	80	valid
13.0ms	92×	body	1280	valid
10.0ms	90×	body	640	valid
4.0ms	49×	body	320	valid
2.0ms	42×	body	160	valid