Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	230×	body	80	valid
2.0ms	12×	body	1280	valid
2.0ms	16×	body	640	valid
1.0ms	11×	body	320	valid
0.0ms	7×	body	160	valid
0.0ms	1×	body	2560	valid

simplify112.0ms

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: 17.6b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.1b	(- (+ x y) (/ (* (- z t) y) (- a t)))
13.5b	(/ (* (- z t) y) (- a t))

rewrite26.0ms

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))

series199.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- z t) y)
108.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
63.0ms	(/ (* (- z t) y) (- a t))

simplify45.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

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

prune191.0ms

Filtered

79 candidates to 56 candidates (70.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	69	10	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	10	80

Merged error: 4.1b

Counts

80 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
3.3b	(- (+ x y) (* (- z t) (/ y (- a t))))
8.6b	(* (- z t) (/ y (- a t)))

rewrite31.0ms

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)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ y (- a t))
110.0ms	(- (+ x y) (* (- z t) (/ y (- a t))))
59.0ms	(* (- z t) (/ y (- a t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (15.0ms)

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

prune306.0ms

Filtered

116 candidates to 81 candidates (69.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	109	7	116
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	115	11	126

Merged error: 4.0b

Counts

126 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (* (- z t) (/ y (- a t)))))
0.0b	(/ y (- a t))
4.6b	(- y (* (- z t) (/ y (- a t))))
8.6b	(* (- z t) (/ y (- a t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

4.0ms	(+ x (- y (* (- z t) (/ y (- a t)))))
5.0ms	(/ y (- a t))
3.0ms	(- y (* (- z t) (/ y (- a t))))
13.0ms	(* (- z t) (/ y (- a t)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ x (- y (* (- z t) (/ y (- a t)))))
28.0ms	(/ y (- a t))
82.0ms	(- y (* (- z t) (/ y (- a t))))
64.0ms	(* (- z t) (/ y (- a t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	408	708
1	1754	669
2	5002	669

prune306.0ms

Filtered

123 candidates to 88 candidates (71.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	118	5	123
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	124	10	134

Merged error: 4.0b

Counts

134 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
3.0b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
13.9b	(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
36×	`times-frac`
35×	`*-un-lft-identity`
30×	`associate-r`
27×	`cbrt-prod`
25×	`add-exp-log`
23×	`add-cube-cbrt`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
5×	`frac-times`
3×	`associate-r/` `associate-l/`
2×	`pow1/3` `div-inv`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 119

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
29.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
3.0ms	(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series467.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- a t))
143.0ms	(cbrt (- a t))
96.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
82.0ms	(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	657	1524
1	2791	1373
2	5001	1294

prune387.0ms

Filtered

131 candidates to 99 candidates (75.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	131	10	141

Merged error: 4.0b

Counts

141 → 10

regimes236.0ms

Accuracy

7.6% (3.4b remaining)

Error of 7.5b against oracle of 4.1b and baseline of 7.7b

bsearch72.0ms

Steps

Iters	Range		Point
9	1.5032745506547678e-187	1.6040485122622657e-178	3.5053918512969143e-186
4	-1.0048938225681464e-281	-5.209003668193463e-282	-9.845275696343097e-282

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	23
1	34	23

end0.0ms

sample650.0ms

Algorithm

intervals

Results

239.0ms	7296×	body	80	valid
56.0ms	474×	body	640	valid
46.0ms	268×	body	1280	valid
40.0ms	414×	body	320	valid
14.0ms	233×	body	160	valid
3.0ms	16×	body	2560	valid