Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

273×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
9.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

56.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
30.0ms	(/ (+ (- t z) 1.0) a)
28.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series235.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
30.0ms	(/ (+ (- t z) 1.0) a)
121.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify73.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	707	1950
1	2629	1888
2	5001	1887

prune418.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.6b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
929×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
153×	`distribute-lft-out--`
152×	`distribute-lft-out`
83×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 545

Calls

3 calls:

132.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
21.0ms	(/ (- y z) (+ (- t z) 1.0))
46.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series259.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
47.0ms	(/ (- y z) (+ (- t z) 1.0))
127.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify106.0ms

Algorithm

egg-herbie

Counts

554 → 554

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1925	7705
1	5002	7176

prune832.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a)))
0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* (- y z) (/ 1 (+ (- t z) 1.0)))
1.6b	(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
78×	`*-un-lft-identity`
63×	`times-frac`
49×	`add-sqr-sqrt`
42×	`div-exp`
38×	`add-cube-cbrt`
32×	`add-cbrt-cube`
21×	`associate-r`
20×	`prod-exp`
18×	`associate-/r*`
14×	`distribute-lft-out`
13×	`cbrt-undiv`
11×	`rec-exp` `1-exp`
9×	`distribute-lft-out--`
7×	`pow1`
6×	`cbrt-unprod` `associate-/l/` `add-log-exp`
5×	`flip3--` `associate-l` `associate-/r/` `flip--` `div-inv`
4×	`frac-times` `associate-l/` `associate-/l`
3×	`unswap-sqr`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `un-div-inv` `flip-+` `difference-of-squares`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 175

Calls

4 calls:

10.0ms	(- x (/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a)))
17.0ms	(/ 1 (+ (- t z) 1.0))
45.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
21.0ms	(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

series292.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- x (/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a)))
36.0ms	(/ 1 (+ (- t z) 1.0))
50.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
121.0ms	(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

simplify83.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	836	1419
1	4013	1157
2	5001	1083

prune333.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.0b	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
0.2b	(* (- y z) (/ 1 (+ (- t z) 1.0)))
1.5b	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
20×	`add-cbrt-cube`
14×	`distribute-lft-out`
13×	`prod-exp`
12×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--`
7×	`cbrt-unprod`
6×	`div-exp` `associate-l` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`flip3-+` `associate-r/` `un-div-inv` `-commutative` `flip-+` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

17.0ms	(/ 1 (+ (- t z) 1.0))
2.0ms	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
48.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
56.0ms	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

series302.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1 (+ (- t z) 1.0))
86.0ms	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
53.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
127.0ms	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

simplify63.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	510	939
1	2283	794
2	5002	752

prune263.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample598.0ms

Algorithm

intervals

Results

314.0ms	8492×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid