Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

282×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (* y (/ (- z t) (- z a))))
40.0ms	(/ (- z t) (- z a))
63.0ms	(* y (/ (- z t) (- z a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune269.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ t (- z a))
0.0b	(/ z (- z a))
1.8b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

25.0ms	(- (/ z (- z a)) (/ t (- z a)))
5.0ms	(/ t (- z a))
5.0ms	(/ z (- z a))
33.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series474.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(- (/ z (- z a)) (/ t (- z a)))
27.0ms	(/ t (- z a))
45.0ms	(/ z (- z a))
126.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify45.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	429	888
1	1588	838
2	5002	838

prune356.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z a))
0.0b	(/ (- z a) z)
0.8b	(/ 1 (/ (- z a) z))
1.8b	(* y (- (/ 1 (/ (- z a) z)) (/ t (- z a))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
157×	`add-sqr-sqrt`
138×	`*-un-lft-identity`
82×	`add-cube-cbrt`
30×	`difference-of-squares`
27×	`associate-/r*`
25×	`distribute-lft-out--`
21×	`add-exp-log`
17×	`associate-r`
15×	`add-cbrt-cube`
11×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
7×	`pow1`
5×	`cbrt-undiv`
4×	`add-log-exp`
3×	`flip3--` `frac-2neg` `associate-r/` `associate-l*` `clear-num` `associate-/r/` `flip--`
2×	`distribute-rgt-in` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp` `associate-/l/`
1×	`pow-flip` `div-sub` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 214

Calls

4 calls:

5.0ms	(/ t (- z a))
6.0ms	(/ (- z a) z)
8.0ms	(/ 1 (/ (- z a) z))
64.0ms	(* y (- (/ 1 (/ (- z a) z)) (/ t (- z a))))

series237.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ t (- z a))
29.0ms	(/ (- z a) z)
45.0ms	(/ 1 (/ (- z a) z))
135.0ms	(* y (- (/ 1 (/ (- z a) z)) (/ t (- z a))))

simplify83.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	702	1493
1	3267	1248
2	5002	1248

prune422.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.8b	(* y (- (/ z (- z a)) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- z a)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `sub-div` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
12.0ms	(* y (- (/ z (- z a)) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- z a)))))

series704.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
169.0ms	(cbrt t)
164.0ms	(cbrt t)
192.0ms	(* y (- (/ z (- z a)) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- z a)))))

simplify145.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	185	493
1	765	428
2	4052	397
3	5001	391

prune211.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample511.0ms

Algorithm

intervals

Results

259.0ms	8710×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid