Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

349×

body

valid

simplify124.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4466	3
14	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
4.1b	(fma (/ (- y x) t) z x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

8.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series62.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- y x) t)
36.0ms	(fma (/ (- y x) t) z x)

simplify46.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	194	271
1	528	254
2	1881	245
3	5002	245

prune129.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- y x) (/ 1 t))
4.1b	(fma (* (- y x) (/ 1 t)) z x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

17.0ms	(* (- y x) (/ 1 t))
0.0ms	(fma (* (- y x) (/ 1 t)) z x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- y x) (/ 1 t))
34.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	277	304
1	1127	260
2	5001	239

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- y x))
0.6b	(/ 1 (/ t (- y x)))
4.1b	(fma (/ 1 (/ t (- y x))) z x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 159

Calls

3 calls:

5.0ms	(/ t (- y x))
10.0ms	(/ 1 (/ t (- y x)))
0.0ms	(fma (/ 1 (/ t (- y x))) z x)

series95.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ t (- y x))
32.0ms	(/ 1 (/ t (- y x)))
32.0ms	(fma (/ 1 (/ t (- y x))) z x)

simplify54.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	476	1139
1	2102	1012
2	5002	885

prune276.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.1b	(fma (/ (/ (- y x) (* (cbrt t) (cbrt t))) (cbrt t)) z x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)
0.0ms	(fma (/ (/ (- y x) (* (cbrt t) (cbrt t))) (cbrt t)) z x)

series599.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
181.0ms	(cbrt t)
176.0ms	(cbrt t)
63.0ms	(fma (/ (/ (- y x) (* (cbrt t) (cbrt t))) (cbrt t)) z x)

simplify129.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (124.0ms)

Iter	Nodes	Cost
0	89	263
1	207	234
2	655	223
3	3845	221
4	5001	215

prune183.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

30.5% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	26
1	27	26

end0.0ms

sample544.0ms

Algorithm

intervals

Results

280.0ms

10775×

body

valid