Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

285×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.5b	(fma (/ y (- z a)) (- z t) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series126.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ y (- z a))
92.0ms	(fma (/ y (- z a)) (- z t) x)

simplify121.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (116.0ms)

Iter	Nodes	Cost
0	170	266
1	464	247
2	1318	247
3	4468	246
4	5001	244

prune164.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* y (/ 1 (- z a)))
3.5b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 99

Calls

3 calls:

5.0ms	(/ 1 (- z a))
16.0ms	(* y (/ 1 (- z a)))
0.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series181.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ 1 (- z a))
37.0ms	(* y (/ 1 (- z a)))
97.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify89.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	288	498
1	1139	430
2	4201	384
3	5002	382

prune249.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
8.2b	(/ (* y (- z t)) (- z a))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

11.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- z a))

series111.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* y (- z t))
72.0ms	(/ (* y (- z t)) (- z a))

simplify54.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	350	543
1	1606	380
2	5001	380

prune163.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
2.5b	(/ y (/ (- z a) (- z t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

14.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- z a) (- z t))
128.0ms	(/ y (/ (- z a) (- z t)))

simplify92.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	639	1797
1	2867	1744
2	5001	1741

prune507.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes192.0ms

Accuracy

58.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.2b

bsearch90.0ms

Steps

Iters	Range		Point
8	1.4747129215950726e+38	1.1097791520527191e+41	1.617379004781486e+38
9	-45853.62824451683	-0.05879146692607421	-29005.302339204525

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample537.0ms

Algorithm

intervals

Results

276.0ms	8772×	body	80	valid
0.0ms	1×	body	160	valid