Details

sample67.0ms

Algorithm

intervals

Results

13.0ms	192×	body	80	valid
10.0ms	29×	body	1280	valid
5.0ms	24×	body	640	nan
5.0ms	20×	body	1280	nan
5.0ms	92×	body	80	nan
5.0ms	19×	body	640	valid
3.0ms	21×	body	320	nan
2.0ms	9×	body	320	valid
1.0ms	7×	body	160	valid
0.0ms	3×	body	160	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	105	12
1	105	12

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 15.9b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.8b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 108

Calls

4 calls:

15.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
7.0ms	(/ (- x y) (- 1.0 y))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series38.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
5.0ms	(/ (- x y) (- 1.0 y))
8.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
11.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5137	1679

prune202.0ms

Filtered

93 candidates to 120 candidates (-29.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Merged error: 0.2b

Counts

121 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- 1.0 y))
0.2b	(/ (exp 1.0) (+ 1.0 (/ (- y x) (- 1.0 y))))
1.7b	(+ 1.0 (/ (- y x) (- 1.0 y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
37×	`times-frac`
24×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`associate-/l*`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`distribute-lft-out` `add-log-exp`
4×	`associate-/r/`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log`

Counts

3 → 98

Calls

3 calls:

7.0ms	(/ (- y x) (- 1.0 y))
14.0ms	(/ (exp 1.0) (+ 1.0 (/ (- y x) (- 1.0 y))))
12.0ms	(+ 1.0 (/ (- y x) (- 1.0 y)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (- y x) (- 1.0 y))
12.0ms	(/ (exp 1.0) (+ 1.0 (/ (- y x) (- 1.0 y))))
7.0ms	(+ 1.0 (/ (- y x) (- 1.0 y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5004	1505

prune167.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	108	3	111

Merged error: 0.0b

Counts

111 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (* 1.0 (* (exp 1.0) (- (+ x 1) y))))
0.2b	(* (exp 1.0) (- (+ x 1) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1`
9×	`*-un-lft-identity`
8×	`add-exp-log` `add-sqr-sqrt`
6×	`associate-r/` `associate-r*`
4×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `add-cbrt-cube`
3×	`distribute-rgt-in` `distribute-lft-in` `rem-log-exp` `associate-l` `log-pow`
2×	`sub-neg` `log-div` `flip3--` `associate--l+` `flip--` `distribute-lft-out--` `add-log-exp`
1×	`log-prod` `*-commutative` `cbrt-unprod` `distribute-lft-out` `difference-of-squares` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

9.0ms	(log (* 1.0 (* (exp 1.0) (- (+ x 1) y))))
9.0ms	(* (exp 1.0) (- (+ x 1) y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(log (* 1.0 (* (exp 1.0) (- (+ x 1) y))))
5.0ms	(* (exp 1.0) (- (+ x 1) y))

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5017	525

prune71.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	50	4	54

Merged error: 0.0b

Counts

54 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (exp 1.0)) (cbrt (exp 1.0)))
1.6b	(cbrt (exp 1.0))
1.6b	(cbrt (exp 1.0))
1.6b	(cbrt (exp 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (cbrt (exp 1.0)) (cbrt (exp 1.0)))
2.0ms	(cbrt (exp 1.0))
2.0ms	(cbrt (exp 1.0))
2.0ms	(cbrt (exp 1.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (cbrt (exp 1.0)) (cbrt (exp 1.0)))
0.0ms	(cbrt (exp 1.0))
0.0ms	(cbrt (exp 1.0))
0.0ms	(cbrt (exp 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5076	446

prune154.0ms

Filtered

52 candidates to 77 candidates (-48.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	77	4	81

Merged error: 0.0b

Counts

81 → 4

regimes119.0ms

Accuracy

97% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 18.1b

bsearch64.0ms

Steps

Iters	Range		Point
5	1.7487056471028648e+121	5.246634578944762e+121	1.7741549111669719e+121
8	-3522490212.2419653	-969524.9710744523	-185199506.1069946

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	38
1	31	38

end0.0ms

sample1.4s

Algorithm

intervals

Results

271.0ms	5714×	body	80	valid
199.0ms	811×	body	1280	valid
138.0ms	795×	body	640	valid
123.0ms	679×	body	1280	nan
107.0ms	748×	body	640	nan
89.0ms	2619×	body	80	nan
59.0ms	442×	body	320	valid
56.0ms	478×	body	320	nan
20.0ms	238×	body	160	valid
15.0ms	205×	body	160	nan

Details

sample67.0ms

simplify4.0ms

prune5.0ms

localize8.0ms

rewrite52.0ms

series38.0ms

simplify51.0ms

prune202.0ms

localize10.0ms

rewrite36.0ms

series23.0ms

simplify53.0ms

prune167.0ms

localize11.0ms

rewrite19.0ms

series16.0ms

simplify38.0ms

prune71.0ms

localize12.0ms

rewrite14.0ms

series0.0ms

simplify49.0ms

prune154.0ms

regimes119.0ms

bsearch64.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling