Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

332×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune7.0ms

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)
5.0b	(fma (/ (- y x) t) z x)

rewrite18.0ms

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:

16.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series57.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (- y x) t)
34.0ms	(fma (/ (- y x) t) z x)

simplify52.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (13.0ms)

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

prune180.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (- y x) (/ 1 t))
5.0b	(fma (* (- y x) (/ 1 t)) z x)

rewrite33.0ms

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:

31.0ms	(* (- y x) (/ 1 t))
0.0ms	(fma (* (- y x) (/ 1 t)) z x)

series54.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- y x) (/ 1 t))
31.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (30.0ms)

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

prune186.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* x z) t))
1.4b	(fma (/ z t) y (- x (/ (* x z) t)))
6.3b	(/ (* x z) t)

rewrite21.0ms

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:

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

series78.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- x (/ (* x z) t))
30.0ms	(fma (/ z t) y (- x (/ (* x z) t)))
21.0ms	(/ (* x z) t)

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (37.0ms)

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

prune263.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.6b	(* (/ z t) (- y x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`frac-times` `sub-neg` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 62

Calls

1 calls:

34.0ms

(* (/ z t) (- y x))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* (/ z t) (- y x))

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	381	523
1	1486	369
2	5001	357

prune161.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample585.0ms

Algorithm

intervals

Results

312.0ms

10685×

body

valid