Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

283×

body

valid

simplify51.0ms

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: 1.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
3.7b	(* y (/ (- z t) (- a t)))

rewrite41.0ms

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:

11.0ms	(/ (- z t) (- a t))
25.0ms	(* y (/ (- z t) (- a t)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- z t) (- a t))
64.0ms	(* y (/ (- z t) (- a t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (9.0ms)

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

prune247.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
3.7b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite100.0ms

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:

12.0ms	(/ (- a t) (- z t))
14.0ms	(/ 1 (/ (- a t) (- z t)))
50.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series331.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- a t) (- z t))
134.0ms	(/ 1 (/ (- a t) (- z t)))
148.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify97.0ms

Algorithm

egg-herbie

Counts

342 → 342

Iterations

Useful iterations: 2 (72.0ms)

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

prune598.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
3.0b	(/ y (/ (- a t) (- z t)))

rewrite38.0ms

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:

11.0ms	(/ (- a t) (- z t))
13.0ms	(/ y (/ (- a t) (- z t)))

series187.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- a t) (- z t))
139.0ms	(/ y (/ (- a t) (- z t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (52.0ms)

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

prune525.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(/ 1 (- a t))
0.2b	(/ (/ 1 (- a t)) (/ 1 (- z t)))
3.7b	(* y (/ (/ 1 (- a t)) (/ 1 (- z t))))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

2223×	`times-frac`
1367×	`add-sqr-sqrt`
1338×	`*-un-lft-identity`
800×	`add-cube-cbrt`
446×	`associate-r`
266×	`distribute-lft-out--` `difference-of-squares`
178×	`associate-/r/`
110×	`add-exp-log`
90×	`div-inv`
88×	`flip3--` `flip--`
68×	`div-exp`
38×	`add-cbrt-cube`
31×	`associate-/r*`
27×	`associate-/l*`
18×	`cbrt-undiv` `rec-exp` `1-exp`
17×	`prod-exp`
10×	`unswap-sqr`
8×	`pow1`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

4 → 1096

Calls

4 calls:

6.0ms	(/ 1 (- z t))
9.0ms	(/ 1 (- a t))
25.0ms	(/ (/ 1 (- a t)) (/ 1 (- z t)))
138.0ms	(* y (/ (/ 1 (- a t)) (/ 1 (- z t))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1 (- z t))
34.0ms	(/ 1 (- a t))
130.0ms	(/ (/ 1 (- a t)) (/ 1 (- z t)))
148.0ms	(* y (/ (/ 1 (- a t)) (/ 1 (- z t))))

simplify167.0ms

Algorithm

egg-herbie

Counts

1108 → 1108

Iterations

Useful iterations: 1 (57.0ms)

Iter	Nodes	Cost
0	3191	11695
1	5001	10317

prune2.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

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	16	5
1	18	5
2	18	5

end0.0ms

sample552.0ms

Algorithm

intervals

Results

278.0ms	8728×	body	80	valid
0.0ms	1×	body	320	valid