Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

265×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5001	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.8b	(+ (* x y) (* z (- t a)))
20.4b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

22.0ms	(* z (- t a))
23.0ms	(* z (- b y))
10.0ms	(+ (* x y) (* z (- t a)))
38.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* z (- t a))
30.0ms	(* z (- b y))
39.0ms	(+ (* x y) (* z (- t a)))
277.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	401	714
1	1759	659
2	5001	659

prune304.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 20.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.8b	(+ (* x y) (* z (- t a)))
20.3b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 145

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
23.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
10.0ms	(+ (* x y) (* z (- t a)))
33.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.0s

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (* z (- b y)))
705.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
40.0ms	(+ (* x y) (* z (- t a)))
233.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify64.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	525	2048
1	2373	1870
2	5002	1782

prune345.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 20.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.5b	(/ 1 (+ y (* z (- b y))))
0.8b	(+ (* x y) (* z (- t a)))
20.1b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

22.0ms	(* z (- b y))
10.0ms	(/ 1 (+ y (* z (- b y))))
10.0ms	(+ (* x y) (* z (- t a)))
43.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series439.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* z (- b y))
75.0ms	(/ 1 (+ y (* z (- b y))))
38.0ms	(+ (* x y) (* z (- t a)))
294.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	449	957
1	2234	849
2	5001	823

prune303.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 20.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.3b	(/ 1 (+ (* x y) (* z (- t a))))
0.8b	(+ (* x y) (* z (- t a)))
20.2b	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-r`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
4×	`frac-times` `associate-+r+` `associate-l/` `associate-/r` `cbrt-unprod`
3×	`pow-flip` `associate-l` `div-inv` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`+-commutative` `sum-log` `*-commutative`

Counts

4 → 134

Calls

4 calls:

34.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
13.0ms	(/ 1 (+ (* x y) (* z (- t a))))
10.0ms	(+ (* x y) (* z (- t a)))
43.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

754.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
47.0ms	(/ 1 (+ (* x y) (* z (- t a))))
37.0ms	(+ (* x y) (* z (- t a)))
233.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	499	1409
1	2401	1189
2	5003	1150

prune295.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 20.4b

regimes411.0ms

Accuracy

0% (0.6b remaining)

Error of 23.2b against oracle of 22.6b and baseline of 23.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample734.0ms

Algorithm

intervals

Results

324.0ms

8410×

body

valid