Details

sample31.0ms

Algorithm

intervals

Results

19.0ms

284×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.8b	(fma (/ y (- a t)) (- z t) x)

rewrite7.0ms

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:

5.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series195.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ y (- a t))
167.0ms	(fma (/ y (- a t)) (- z t) x)

simplify101.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	166	265
1	444	246
2	1278	244
3	4359	243
4	5001	243

prune149.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.8b	(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- z t) x)
14.5b	(cbrt (/ y (- a t)))
14.5b	(cbrt (/ y (- a t)))
14.5b	(cbrt (/ y (- a t)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- z t) x)
3.0ms	(cbrt (/ y (- a t)))
6.0ms	(cbrt (/ y (- a t)))
4.0ms	(cbrt (/ y (- a t)))

series691.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- z t) x)
162.0ms	(cbrt (/ y (- a t)))
162.0ms	(cbrt (/ y (- a t)))
160.0ms	(cbrt (/ y (- a t)))

simplify116.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	223	989
1	467	940
2	1319	925
3	4542	901
4	5001	901

prune425.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
1.0b	(/ 1 (/ (- a t) y))
2.8b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite24.0ms

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:

9.0ms	(/ (- a t) y)
9.0ms	(/ 1 (/ (- a t) y))
0.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

series277.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- a t) y)
67.0ms	(/ 1 (/ (- a t) y))
182.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	462	1073
1	1927	947
2	5001	836

prune300.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (/ (- a t) y))
2.8b	(fma (/ 1 (/ (- a t) y)) (- z t) x)
2.8b	(fma (/ 1 (/ (- a t) y)) (- z t) x)
2.8b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

9.0ms	(/ 1 (/ (- a t) y))
0.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)
0.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)
0.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

series608.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ 1 (/ (- a t) y))
179.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)
178.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)
181.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	412	1039
1	1637	899
2	5002	778

prune337.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

48.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.1b

bsearch41.0ms

Steps

Iters	Range		Point
7	8.653719989331481e-82	2.36483490027837e-80	2.082551206042079e-80
1	-5.160216177766018e-72	-4.684943728691667e-72	-5.04139806549743e-72

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample759.0ms

Algorithm

intervals

Results

497.0ms	8695×	body	80	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid