Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

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)))

rewrite46.0ms

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) (- z a))))
12.0ms	(/ (- z t) (- z a))
26.0ms	(* y (/ (- z t) (- z a)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ x (* y (/ (- z t) (- z a))))
48.0ms	(/ (- z t) (- z a))
75.0ms	(* y (/ (- z t) (- z a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	435	776
1	1703	730
2	5001	730

prune349.0ms

Filtered

131 candidates to 92 candidates (70.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))))

rewrite111.0ms

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:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
12.0ms	(/ (- z a) (- z t))
15.0ms	(/ 1 (/ (- z a) (- z t)))
54.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series384.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
53.0ms	(/ (- z a) (- z t))
109.0ms	(/ 1 (/ (- z a) (- z t)))
131.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify125.0ms

Algorithm

egg-herbie

Counts

361 → 361

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	970	2876
1	4831	2583
2	5001	2583

prune900.0ms

Filtered

361 candidates to 216 candidates (59.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-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:

2.0ms	(+ x (* 1 (/ y (/ (- z a) (- z t)))))
12.0ms	(/ (- z a) (- z t))
15.0ms	(/ y (/ (- z a) (- z t)))

series278.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(+ x (* 1 (/ y (/ (- z a) (- z t)))))
47.0ms	(/ (- z a) (- z t))
135.0ms	(/ y (/ (- z a) (- z t)))

simplify104.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	733	1931
1	3270	1863
2	5001	1861

prune653.0ms

Filtered

224 candidates to 155 candidates (69.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

109×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
99×	`distribute-rgt-in` `distribute-lft-in`
90×	`prod-diff`
86×	`add-cube-cbrt`
44×	`associate-+r+`
32×	`add-exp-log` `times-frac`
24×	`associate-l`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
10×	`sub-neg`
9×	`associate-*r/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-r` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-/r/` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `fma-def` `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 → 249

Calls

4 calls:

16.0ms	(+ x (* y (* (/ 1 (- z a)) (- z t))))
6.0ms	(/ 1 (- z a))
27.0ms	(* (/ 1 (- z a)) (- z t))
32.0ms	(* y (* (/ 1 (- z a)) (- z t)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ x (* y (* (/ 1 (- z a)) (- z t))))
44.0ms	(/ 1 (- z a))
110.0ms	(* (/ 1 (- z a)) (- z t))
133.0ms	(* y (* (/ 1 (- z a)) (- z t)))

simplify94.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	853	2409
1	3313	1587
2	5001	1507

prune538.0ms

Filtered

261 candidates to 134 candidates (51.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	18	5
2	18	5

end0.0ms

sample541.0ms

Algorithm

intervals

Results

276.0ms	8723×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid