Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

267×

body

valid

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	8
1	43	8
2	75	8
3	120	8
4	156	8
5	189	8
6	265	8
7	451	8
8	1023	8
9	3632	8
10	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.8b	(+ (* x y) (* z (- t a)))
25.5b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
54×	`prod-diff`
52×	`add-cube-cbrt`
33×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+r+`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`sub-neg` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
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` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 161

Calls

4 calls:

12.0ms	(* z (- b y))
12.0ms	(* z (- t a))
6.0ms	(+ (* x y) (* z (- t a)))
12.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series464.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (- b y))
42.0ms	(* z (- t a))
44.0ms	(+ (* x y) (* z (- t a)))
340.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify84.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	623	1398
1	2536	1029
2	5002	1026

prune482.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.7b	(/ 1 (+ y (* z (- b y))))
0.8b	(+ (* x y) (* z (- t a)))
25.1b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
46×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
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×	`expm1-log1p-u` `sub-neg` `div-exp` `associate-/r/` `log1p-expm1-u` `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` `fma-def` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 161

Calls

4 calls:

12.0ms	(* z (- t a))
4.0ms	(/ 1 (+ y (* z (- b y))))
6.0ms	(+ (* x y) (* z (- t a)))
19.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* z (- t a))
89.0ms	(/ 1 (+ y (* z (- b y))))
44.0ms	(+ (* x y) (* z (- t a)))
342.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	594	1375
1	2523	1048
2	5001	1011

prune486.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.3b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.8b	(+ (* x y) (* z (- t a)))
25.5b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
86×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
82×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3--` `pow-flip` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 201

Calls

4 calls:

15.0ms	(* z (- t a))
11.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
6.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.2s

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (- t a))
878.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
44.0ms	(+ (* x y) (* z (- t a)))
289.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify95.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	716	2474
1	3125	2063
2	5002	1958

prune554.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.6b	(/ 1 (+ (* x y) (* z (- t a))))
0.8b	(+ (* x y) (* z (- t a)))
25.0b	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
41×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`add-cube-cbrt`
23×	`times-frac`
22×	`associate-+r+`
20×	`div-exp` `add-cbrt-cube`
18×	`prod-diff`
16×	`prod-exp`
15×	`associate-r`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `associate-l/` `associate-/r` `cbrt-unprod` `log1p-expm1-u`
3×	`pow-flip` `associate-l` `div-inv` `unswap-sqr`
2×	`sub-neg` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`+-commutative` `fma-def` `sum-log` `*-commutative`

Counts

4 → 161

Calls

4 calls:

15.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
6.0ms	(/ 1 (+ (* x y) (* z (- t a))))
6.0ms	(+ (* x y) (* z (- t a)))
20.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

886.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
59.0ms	(/ 1 (+ (* x y) (* z (- t a))))
50.0ms	(+ (* x y) (* z (- t a)))
294.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	635	1589
1	2616	1248
2	5003	1197

prune471.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.6b

regimes439.0ms

Accuracy

0% (0.7b remaining)

Error of 23.7b against oracle of 23.0b and baseline of 23.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

sample658.0ms

Algorithm

intervals

Results

356.0ms

8442×

body

valid