Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

324×

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

series53.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (- y x) t)
30.0ms	(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

prune119.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- y x) (/ 1 t))
5.1b	(fma (* (- y x) (/ 1 t)) z x)

rewrite44.0ms

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:

42.0ms	(* (- y x) (/ 1 t))
0.0ms	(fma (* (- y x) (/ 1 t)) z x)

series53.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* (- y x) (/ 1 t))
30.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify32.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (28.0ms)

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

prune129.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- y x))
0.3b	(/ 1 (/ t (- y x)))
5.1b	(fma (/ 1 (/ t (- y x))) z x)

rewrite35.0ms

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:

10.0ms	(/ t (- y x))
17.0ms	(/ 1 (/ t (- y x)))
0.0ms	(fma (/ 1 (/ t (- y x))) z x)

series87.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ t (- y x))
28.0ms	(/ 1 (/ t (- y x)))
32.0ms	(fma (/ 1 (/ t (- y x))) z x)

simplify56.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (40.0ms)

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

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ z (/ t (- y x))) x)
0.0b	(/ t (- y x))
5.4b	(/ z (/ t (- y x)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
172×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
68×	`fma-def`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 225

Calls

3 calls:

81.0ms	(+ (/ z (/ t (- y x))) x)
10.0ms	(/ t (- y x))
16.0ms	(/ z (/ t (- y x)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (/ z (/ t (- y x))) x)
26.0ms	(/ t (- y x))
50.0ms	(/ z (/ t (- y x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	550	1177
1	2393	1131
2	5001	1125

prune711.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes128.0ms

Accuracy

-7.3% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch56.0ms

Steps

Iters	Range		Point
8	2.5103281268467737e-123	6.8548709701903036e-121	1.924274819213632e-122
7	-3.5025765982777347e-168	-1.6697396132603647e-170	-1.0705369569036148e-168

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	28	9
2	28	9

end0.0ms

sample651.0ms

Algorithm

intervals

Results

265.0ms

10672×

body

valid