Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

280×

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: 1.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.7b	(fma y (/ (- z t) (- a t)) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

13.0ms	(/ (- z t) (- a t))
0.0ms	(fma y (/ (- z t) (- a t)) x)

series138.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- z t) (- a t))
83.0ms	(fma y (/ (- z t) (- a t)) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	258	433
1	707	410
2	2404	410
3	5003	410

prune199.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
1.7b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

12.0ms	(/ (- a t) (- z t))
19.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series394.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- a t) (- z t))
145.0ms	(/ 1 (/ (- a t) (- z t)))
197.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	620	1891
1	2762	1708
2	5002	1537

prune410.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.1b	(/ 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:

12.0ms	(/ (- a t) (- z t))
15.0ms	(/ y (/ (- a t) (- z t)))

series213.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- a t) (- z t))
160.0ms	(/ y (/ (- a t) (- z t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (63.0ms)

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

prune509.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(/ (cbrt y) (/ (cbrt (- a t)) (- z t)))
2.1b	(* (/ (cbrt y) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt y))) (/ (cbrt y) (/ (cbrt (- a t)) (- z t))))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

1308×	`times-frac`
1027×	`add-sqr-sqrt`
817×	`*-un-lft-identity`
728×	`cbrt-prod`
479×	`add-cube-cbrt`
281×	`associate-r`
169×	`distribute-lft-out--` `difference-of-squares`
65×	`associate-l`
63×	`add-exp-log`
49×	`unswap-sqr`
46×	`associate-/r*`
30×	`cbrt-undiv` `div-exp`
29×	`associate-/r/`
27×	`add-cbrt-cube`
22×	`div-inv`
15×	`prod-exp` `cbrt-unprod`
13×	`flip3--` `flip--`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 804

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
22.0ms	(/ (cbrt y) (/ (cbrt (- a t)) (- z t)))
347.0ms	(* (/ (cbrt y) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt y))) (/ (cbrt y) (/ (cbrt (- a t)) (- z t))))

series756.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt y)
189.0ms	(cbrt y)
173.0ms	(/ (cbrt y) (/ (cbrt (- a t)) (- z t)))
193.0ms	(* (/ (cbrt y) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt y))) (/ (cbrt y) (/ (cbrt (- a t)) (- z t))))

simplify164.0ms

Algorithm

egg-herbie

Counts

816 → 816

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	2844	14233
1	5001	13991

prune3.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes158.0ms

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	18	17
1	18	17

end0.0ms

sample782.0ms

Algorithm

intervals

Results

509.0ms

8754×

body

valid