Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

345×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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)
5.1b	(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:

26.0ms	(/ (- y x) t)
36.0ms	(fma (/ (- y x) t) z x)

simplify43.0ms

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

prune125.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ y t) (/ x t))
5.1b	(fma (- (/ y t) (/ x t)) z x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

253×	`times-frac`
205×	`add-sqr-sqrt`
201×	`*-un-lft-identity`
193×	`add-cube-cbrt`
169×	`prod-diff`
29×	`div-inv`
13×	`fma-neg`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `flip--` `fma-udef` `sub-div`

Counts

2 → 217

Calls

2 calls:

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

series52.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (/ y t) (/ x t))
31.0ms	(fma (- (/ y t) (/ x t)) z x)

simplify72.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	721	4590
1	1850	3259
2	5001	2834

prune247.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* x z) t))
1.9b	(fma (/ z t) y (- x (/ (* x z) t)))
6.2b	(/ (* x z) t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

5.0ms	(- x (/ (* x z) t))
0.0ms	(fma (/ z t) y (- x (/ (* x z) t)))
3.0ms	(/ (* x z) t)

series84.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- x (/ (* x z) t))
33.0ms	(fma (/ z t) y (- x (/ (* x z) t)))
22.0ms	(/ (* x z) t)

simplify46.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	323	706
1	1341	498
2	5001	494

prune163.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ z t) (- y x)) x)
6.9b	(* (/ z t) (- y x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

10.0ms	(+ (* (/ z t) (- y x)) x)
16.0ms	(* (/ z t) (- y x))

series89.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ z t) (- y x)) x)
56.0ms	(* (/ z t) (- y x))

simplify54.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	469	779
1	1868	547
2	5001	533

prune219.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

-6.8% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch79.0ms

Steps

Iters	Range		Point
9	2.957928350948882e-306	4.093577489960387e-301	3.9235379008614165e-302
9	-9.609325015610135e-166	-5.641908997712279e-173	-2.188786437353036e-172

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample739.0ms

Algorithm

intervals

Results

480.0ms

10599×

body

valid