Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	232×	body	80	valid
1.0ms	11×	body	1280	valid
1.0ms	17×	body	320	valid
1.0ms	11×	body	640	valid
0.0ms	8×	body	160	valid
0.0ms	1×	body	2560	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	111	6
3	213	6
4	517	5
5	1051	5
6	2055	5
7	3280	5
8	5002	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
12.2b	(fma (/ y (- a t)) (- t z) (+ x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

10.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ y (- a t))
68.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	170	278
1	468	257
2	1400	257
3	5002	257

prune157.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
1.1b	(/ 1 (/ (- a t) y))
12.1b	(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`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×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

16.0ms	(/ (- a t) y)
18.0ms	(/ 1 (/ (- a t) y))
0.0ms	(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

series159.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (- a t) y)
61.0ms	(/ 1 (/ (- a t) y))
75.0ms	(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	466	1086
1	1950	958
2	5001	852

prune314.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
3.6b	(+ (/ (- t z) (/ (- a t) y)) (+ x y))
9.8b	(/ (- t z) (/ (- a t) y))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
309×	`*-un-lft-identity`
304×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
100×	`fma-def`
76×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
14×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `sum-log` `log1p-expm1-u` `distribute-lft-out`
2×	`flip3--` `frac-2neg` `flip3-+` `frac-add` `clear-num` `associate-/r/` `flip--` `flip-+`
1×	`+-commutative` `associate-+l-` `associate-+r+`

Counts

3 → 299

Calls

3 calls:

16.0ms	(/ (- a t) y)
127.0ms	(+ (/ (- t z) (/ (- a t) y)) (+ x y))
30.0ms	(/ (- t z) (/ (- a t) y))

series277.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- a t) y)
172.0ms	(+ (/ (- t z) (/ (- a t) y)) (+ x y))
80.0ms	(/ (- t z) (/ (- a t) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	892	1815
1	3565	1754
2	5001	1752

prune750.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- a t))
1.9b	(fma (/ (- t z) (- a t)) y (+ x y))

rewrite24.0ms

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:

22.0ms	(/ (- t z) (- a t))
0.0ms	(fma (/ (- t z) (- a t)) y (+ x y))

series213.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- t z) (- a t))
152.0ms	(fma (/ (- t z) (- a t)) y (+ x y))

simplify84.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	257	444
1	694	419
2	2378	417
3	5001	417

prune173.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.7b

regimes259.0ms

Accuracy

37.8% (5.0b remaining)

Error of 8.4b against oracle of 3.4b and baseline of 11.4b

bsearch16.0ms

Steps

Iters	Range		Point
2	3.40627753840831e+29	3.883675934503661e+29	3.824001134991742e+29
1	-9.733227149017866e+100	-8.96616642260002e+100	-9.157931604204482e+100

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	15
1	34	15
2	34	15

end0.0ms

sample741.0ms

Algorithm

intervals

Results

226.0ms	7409×	body	80	valid
45.0ms	441×	body	640	valid
33.0ms	254×	body	1280	valid
32.0ms	412×	body	320	valid
13.0ms	240×	body	160	valid
2.0ms	13×	body	2560	valid