Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	277×	body	80	valid
0.0ms	1×	body	640	valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

24.0ms	(/ (- z t) (- a t))
46.0ms	(* y (/ (- z t) (- a t)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- z t) (- a t))
62.0ms	(* y (/ (- z t) (- a t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	356	664
1	1414	623
2	5001	623

prune262.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
1.3b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 333

Calls

3 calls:

25.0ms	(/ (- a t) (- z t))
25.0ms	(/ 1 (/ (- a t) (- z t)))
76.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series301.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- a t) (- z t))
118.0ms	(/ 1 (/ (- a t) (- z t)))
137.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify102.0ms

Algorithm

egg-herbie

Counts

342 → 342

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	897	2753
1	4565	2466
2	5002	2179

prune621.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

26.0ms	(/ (- a t) (- z t))
23.0ms	(/ y (/ (- a t) (- z t)))

series175.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- a t) (- z t))
130.0ms	(/ y (/ (- a t) (- z t)))

simplify72.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	642	1801
1	2886	1748
2	5001	1745

prune498.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (/ (- a t) (- z t)) y))
1.5b	(/ (/ (- a t) (- z t)) y)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
793×	`add-sqr-sqrt` `*-un-lft-identity`
449×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
31×	`add-exp-log`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 617

Calls

3 calls:

23.0ms	(/ (- a t) (- z t))
45.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
33.0ms	(/ (/ (- a t) (- z t)) y)

series266.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- a t) (- z t))
145.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
80.0ms	(/ (/ (- a t) (- z t)) y)

simplify105.0ms

Algorithm

egg-herbie

Counts

626 → 626

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1771	7394
1	5002	6728

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes129.0ms

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	15	6
1	15	6

end0.0ms

sample629.0ms

Algorithm

intervals

Results

247.0ms	8742×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid