Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	240×	body	80	valid
3.0ms	23×	body	640	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	3×	body	160	valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 16.2b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
0.6b	(- (+ x y) (/ (* (- z t) y) (- a t)))
12.0b	(/ (* (- z t) y) (- a t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `distribute-lft-out--`
4×	`flip3--` `associate-*l/` `flip--` `difference-of-squares`
3×	`associate-r`
2×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

6.0ms	(* (- z t) y)
10.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms	(/ (* (- z t) y) (- a t))

series198.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- z t) y)
107.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
63.0ms	(/ (* (- z t) y) (- a t))

simplify47.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422

prune178.0ms

Filtered

79 candidates to 56 candidates (70.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	70	9	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	9	80

Merged error: 5.0b

Counts

80 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
1.6b	(- (+ x y) (* (- z t) (/ y (- a t))))
10.7b	(* (- z t) (/ y (- a t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `frac-sub` `add-cbrt-cube`
9×	`flip3--` `flip--`
8×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`frac-times` `associate-*l/`
5×	`pow1` `flip3-+` `associate-l` `associate-/r*` `flip-+`
4×	`associate-/r/`
3×	`associate-r/` `associate-/l`
2×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `pow-prod-down` `associate--l+` `clear-num` `sum-log` `*-commutative`

Counts

3 → 107

Calls

3 calls:

5.0ms	(/ y (- a t))
7.0ms	(- (+ x y) (* (- z t) (/ y (- a t))))
13.0ms	(* (- z t) (/ y (- a t)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ y (- a t))
106.0ms	(- (+ x y) (* (- z t) (/ y (- a t))))
61.0ms	(* (- z t) (/ y (- a t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	559	844
1	2676	803
2	5001	803

prune262.0ms

Filtered

116 candidates to 83 candidates (71.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	108	8	116
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	114	11	125

Merged error: 4.7b

Counts

125 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
3.8b	(- y (* (- z t) (/ y (- a t))))
10.7b	(* (- z t) (/ y (- a t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `flip3--` `associate-l` `associate-/r*` `flip--` `add-log-exp`
4×	`associate-/r/`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

3 → 95

Calls

3 calls:

5.0ms	(/ y (- a t))
3.0ms	(- y (* (- z t) (/ y (- a t))))
15.0ms	(* (- z t) (/ y (- a t)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ y (- a t))
80.0ms	(- y (* (- z t) (/ y (- a t))))
59.0ms	(* (- z t) (/ y (- a t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	342	578
1	1560	541
2	5001	541

prune212.0ms

Filtered

104 candidates to 76 candidates (73.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	104	11	115

Merged error: 4.7b

Counts

115 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

3.8b	(- y (* (- z t) (/ y (- a t))))
10.7b	(* (- z t) (/ y (- a t)))
10.7b	(* (- z t) (/ y (- a t)))
10.7b	(* (- z t) (/ y (- a t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
63×	`associate-r`
58×	`*-un-lft-identity`
48×	`times-frac`
34×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`pow1` `flip3--` `flip--`
6×	`frac-times` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 150

Calls

4 calls:

3.0ms	(- y (* (- z t) (/ y (- a t))))
13.0ms	(* (- z t) (/ y (- a t)))
13.0ms	(* (- z t) (/ y (- a t)))
13.0ms	(* (- z t) (/ y (- a t)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- y (* (- z t) (/ y (- a t))))
58.0ms	(* (- z t) (/ y (- a t)))
61.0ms	(* (- z t) (/ y (- a t)))
63.0ms	(* (- z t) (/ y (- a t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	313	943
1	1412	881
2	5002	881

prune457.0ms

Filtered

162 candidates to 117 candidates (72.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	161	12	173

Merged error: 4.7b

Counts

173 → 12

regimes255.0ms

Accuracy

-7.7% (5.2b remaining)

Error of 9.2b against oracle of 4.0b and baseline of 8.8b

bsearch80.0ms

Steps

Iters	Range		Point
7	-8.250335488997244e-213	-7.203357054483068e-215	-7.327308520767143e-215
9	-3.677243742140205e-43	-6.711800384937827e-49	-6.775489710236135e-49

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	9
1	27	9

end0.0ms

sample691.0ms

Algorithm

intervals

Results

272.0ms	7344×	body	80	valid
63.0ms	435×	body	640	valid
43.0ms	398×	body	320	valid
42.0ms	248×	body	1280	valid
18.0ms	265×	body	160	valid
2.0ms	12×	body	2560	valid