Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.4b	(* y (/ (- z t) (- z a)))

rewrite45.0ms

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:

2.0ms	(+ x (* y (/ (- z t) (- z a))))
11.0ms	(/ (- z t) (- z a))
27.0ms	(* y (/ (- z t) (- z a)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ x (* y (/ (- z t) (- z a))))
41.0ms	(/ (- z t) (- z a))
63.0ms	(* y (/ (- z t) (- z a)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune264.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.3b	(/ 1 (/ (- z a) (- z t)))
1.4b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`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×	`rec-exp` `1-exp`
3×	`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 → 338

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
13.0ms	(/ (- z a) (- z t))
15.0ms	(/ 1 (/ (- z a) (- z t)))
53.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
46.0ms	(/ (- z a) (- z t))
288.0ms	(/ 1 (/ (- z a) (- z t)))
113.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify109.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	954	2833
1	4775	2544
2	5002	2258

prune596.0ms

Filtered

350 candidates to 184 candidates (52.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.5b	(/ y (/ (- z a) (- z t)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`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`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

42.0ms	(+ x (/ y (/ (- z a) (- z t))))
11.0ms	(/ (- z a) (- z t))
17.0ms	(/ y (/ (- z a) (- z t)))

series229.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (/ y (/ (- z a) (- z t))))
42.0ms	(/ (- z a) (- z t))
109.0ms	(/ y (/ (- z a) (- z t)))

simplify86.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	702	1885
1	3069	1832
2	5002	1829

prune477.0ms

Filtered

215 candidates to 145 candidates (67.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (/ 1 (- z a)) (- z t))))
0.0b	(/ 1 (- z a))
0.2b	(* (/ 1 (- z a)) (- z t))
1.4b	(* y (* (/ 1 (- z a)) (- z t)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

4.0ms	(+ x (* y (* (/ 1 (- z a)) (- z t))))
6.0ms	(/ 1 (- z a))
27.0ms	(* (/ 1 (- z a)) (- z t))
27.0ms	(* y (* (/ 1 (- z a)) (- z t)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ x (* y (* (/ 1 (- z a)) (- z t))))
35.0ms	(/ 1 (- z a))
90.0ms	(* (/ 1 (- z a)) (- z t))
107.0ms	(* y (* (/ 1 (- z a)) (- z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	525	917
1	2273	786
2	5003	750

prune279.0ms

Filtered

160 candidates to 95 candidates (59.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample500.0ms

Algorithm

intervals

Results

250.0ms	8723×	body	80	valid
3.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid