Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

334×

body

valid

simplify124.0ms

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: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
3.7b	(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:

7.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series64.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- y x) t)
38.0ms	(fma (/ (- y x) t) z x)

simplify47.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (15.0ms)

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

prune123.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- y x) (/ 1 t))
3.7b	(fma (* (- y x) (/ 1 t)) z x)

rewrite15.0ms

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:

13.0ms	(* (- y x) (/ 1 t))
1.0ms	(fma (* (- y x) (/ 1 t)) z x)

series59.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (31.0ms)

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

prune134.0ms

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	(/ t (- y x))
0.4b	(/ 1 (/ t (- y x)))
3.7b	(fma (/ 1 (/ t (- y x))) z x)

rewrite22.0ms

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))
9.0ms	(/ 1 (/ t (- y x)))
1.0ms	(fma (/ 1 (/ t (- y x))) z x)

series93.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ t (- y x))
31.0ms	(/ 1 (/ t (- y x)))
35.0ms	(fma (/ 1 (/ t (- y x))) z x)

simplify67.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (51.0ms)

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

prune262.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
3.7b	(fma (/ (- y x) t) z x)

rewrite9.0ms

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:

6.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series62.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (- y x) t)
32.0ms	(fma (/ (- y x) t) z x)

simplify46.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (15.0ms)

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

prune114.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

57.9% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 6.5b

bsearch63.0ms

Steps

Iters	Range		Point
10	2.783849581013839e-97	4.23389962872691e-81	3.837568830891015e-81
6	-2.7044898427345917e-177	-3.4218463915319007e-178	-2.658477094375327e-177

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms

sample518.0ms

Algorithm

intervals

Results

270.0ms

10609×

body

valid