Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

281×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.3b	(* y (/ (- z t) (- a t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`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×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
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 → 122

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
14.0ms	(* y (/ (- z t) (- a t)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ x (* y (/ (- z t) (- a t))))
53.0ms	(/ (- z t) (- a t))
73.0ms	(* y (/ (- z t) (- a t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	433	776
1	1705	730
2	5002	730

prune326.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
1.3b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
337×	`add-sqr-sqrt`
325×	`*-un-lft-identity`
159×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`fma-def` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 349

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
9.0ms	(/ (- a t) (- z t))
13.0ms	(/ 1 (/ (- a t) (- z t)))
31.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series472.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
53.0ms	(/ (- a t) (- z t))
140.0ms	(/ 1 (/ (- a t) (- z t)))
156.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify120.0ms

Algorithm

egg-herbie

Counts

361 → 361

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	966	2881
1	4843	2588
2	5001	2588

prune817.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
198×	`*-un-lft-identity`
196×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 215

Calls

3 calls:

31.0ms	(+ x (/ y (/ (- a t) (- z t))))
9.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series362.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(+ x (/ y (/ (- a t) (- z t))))
50.0ms	(/ (- a t) (- z t))
159.0ms	(/ y (/ (- a t) (- z t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	711	1917
1	3095	1858
2	5001	1854

prune558.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
13.4b	(* (/ y (- a t)) (- z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
48×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 147

Calls

3 calls:

6.0ms	(+ x (* (/ y (- a t)) (- z t)))
6.0ms	(/ y (- a t))
14.0ms	(* (/ y (- a t)) (- z t))

series313.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ x (* (/ y (- a t)) (- z t)))
30.0ms	(/ y (- a t))
160.0ms	(* (/ y (- a t)) (- z t))

simplify71.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	580	1152
1	2293	901
2	5001	891

prune366.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (1.2b 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	11	5
1	11	5

end0.0ms

sample544.0ms

Algorithm

intervals

Results

276.0ms

8711×

body

valid