Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	4
1	14	4
2	14	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

21.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	208	432
1	632	414
2	1909	414
3	5002	414

prune135.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (- 1.0 (/ y z)))
6.7b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-r`
15×	`add-exp-log`
14×	`difference-of-squares`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 101

Calls

2 calls:

12.0ms	(/ 1 (- 1.0 (/ y z)))
39.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series98.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ 1 (- 1.0 (/ y z)))
51.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	351	684
1	1631	607
2	5001	557

prune204.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (- 1.0 (/ y z)))
6.7b	(* (+ x y) (expm1 (log1p (/ 1 (- 1.0 (/ y z))))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`times-frac`
15×	`add-cube-cbrt`
8×	`add-exp-log` `difference-of-squares`
6×	`associate-/r*` `add-cbrt-cube`
5×	`pow1`
4×	`associate-l` `distribute-lft-out--`
3×	`associate-r` `associate-/l*`
2×	`expm1-log1p-u` `div-exp` `associate-*l/` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `flip3--` `pow-flip` `frac-2neg` `flip3-+` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

13.0ms	(/ 1 (- 1.0 (/ y z)))
12.0ms	(* (+ x y) (expm1 (log1p (/ 1 (- 1.0 (/ y z))))))

series145.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ 1 (- 1.0 (/ y z)))
101.0ms	(* (+ x y) (expm1 (log1p (/ 1 (- 1.0 (/ y z))))))

simplify81.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	260	507
1	981	435
2	3601	404
3	5001	404

prune174.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.9b	(cbrt (- 1.0 (/ y z)))
6.9b	(cbrt (- 1.0 (/ y z)))
6.9b	(cbrt (- 1.0 (/ y z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`cbrt-prod` `cbrt-div`
9×	`add-exp-log` `add-cube-cbrt` `flip3--` `flip--`
8×	`associate-/r/`
7×	`times-frac` `add-cbrt-cube`
6×	`difference-of-squares`
4×	`pow1` `expm1-log1p-u` `frac-times` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow1/3` `distribute-lft-out--`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `flip3-+` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 89

Calls

4 calls:

22.0ms	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.0ms	(cbrt (- 1.0 (/ y z)))
5.0ms	(cbrt (- 1.0 (/ y z)))
6.0ms	(cbrt (- 1.0 (/ y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

228.0ms	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
311.0ms	(cbrt (- 1.0 (/ y z)))
310.0ms	(cbrt (- 1.0 (/ y z)))
306.0ms	(cbrt (- 1.0 (/ y z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	348	860
1	878	798
2	2742	779
3	5001	755

prune332.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 5.2b

regimes195.0ms

Accuracy

69.8% (0.5b remaining)

Error of 6.2b against oracle of 5.7b and baseline of 7.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	25
1	27	25

end0.0ms

sample371.0ms

Algorithm

intervals

Results

203.0ms	7996×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid