Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	234×	body	80	valid
2.0ms	14×	body	640	valid
2.0ms	18×	body	320	valid
2.0ms	9×	body	1280	valid
1.0ms	10×	body	160	valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 17.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
3.3b	(- (+ x y) (/ (* (- z t) y) (- a t)))
10.7b	(/ (* (- z t) y) (- a t))

rewrite25.0ms

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)
9.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
8.0ms	(/ (* (- z t) y) (- a t))

series57.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (- z t) y)
36.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
15.0ms	(/ (* (- z t) y) (- a t))

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

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

prune135.0ms

Filtered

79 candidates to 56 candidates (29.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	68	11	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	11	80

Merged error: 3.9b

Counts

80 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
3.9b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
8.7b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite46.0ms

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--`
9×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `frac-times` `div-exp`
6×	`pow1` `frac-sub` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
5×	`associate-r/` `associate-l/`
3×	`flip3-+` `flip-+`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 127

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
27.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
7.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- a t))
25.0ms	(cbrt (- a t))
21.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
36.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify87.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	793	1744
1	3353	1585
2	5001	1502

prune186.0ms

Filtered

139 candidates to 104 candidates (25.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Merged error: 3.8b

Counts

150 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

4.5b	(cbrt (/ y (cbrt (- a t))))
4.5b	(cbrt (/ y (cbrt (- a t))))
4.5b	(cbrt (/ y (cbrt (- a t))))
10.8b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t)))))) (cbrt (/ y (cbrt (- a t))))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

135×	`cbrt-prod`
72×	`times-frac`
67×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`cbrt-div`
49×	`add-cube-cbrt`
34×	`frac-times`
30×	`frac-sub`
26×	`associate-*l/`
22×	`associate-*r/`
15×	`flip3-+` `flip-+`
9×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`pow1/3` `div-inv`
2×	`diff-log`
1×	`sub-neg` `associate--l+` `sum-log`

Counts

4 → 161

Calls

4 calls:

8.0ms	(cbrt (/ y (cbrt (- a t))))
6.0ms	(cbrt (/ y (cbrt (- a t))))
6.0ms	(cbrt (/ y (cbrt (- a t))))
9.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t)))))) (cbrt (/ y (cbrt (- a t))))))

series188.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(cbrt (/ y (cbrt (- a t))))
47.0ms	(cbrt (/ y (cbrt (- a t))))
50.0ms	(cbrt (/ y (cbrt (- a t))))
41.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t)))))) (cbrt (/ y (cbrt (- a t))))))

simplify89.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	850	3223
1	2739	3016
2	5001	2967

prune252.0ms

Filtered

173 candidates to 137 candidates (20.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	168	5	173
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	171	13	184

Merged error: 3.8b

Counts

184 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t))))))
4.5b	(cbrt (/ y (cbrt (- a t))))
4.5b	(cbrt (/ y (cbrt (- a t))))
9.9b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t)))))) (* (cbrt y) (cbrt (/ 1 (cbrt (- a t)))))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

90×	`cbrt-prod`
74×	`cbrt-div`
54×	`times-frac`
52×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
45×	`associate-*r/`
43×	`frac-times`
36×	`add-cube-cbrt`
31×	`associate-*l/`
30×	`frac-sub`
25×	`add-exp-log`
17×	`associate-l`
15×	`flip3-+` `add-cbrt-cube` `flip-+`
12×	`associate-/r/`
11×	`prod-exp` `cbrt-unprod`
9×	`pow1` `flip3--` `flip--` `add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
4×	`cbrt-undiv` `div-exp`
3×	`pow-prod-down` `div-inv`
2×	`pow1/3` `diff-log` `unswap-sqr`
1×	`sub-neg` `associate-r` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 171

Calls

4 calls:

32.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t))))))
6.0ms	(cbrt (/ y (cbrt (- a t))))
6.0ms	(cbrt (/ y (cbrt (- a t))))
9.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t)))))) (* (cbrt y) (cbrt (/ 1 (cbrt (- a t)))))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t))))))
45.0ms	(cbrt (/ y (cbrt (- a t))))
49.0ms	(cbrt (/ y (cbrt (- a t))))
40.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t)))))) (* (cbrt y) (cbrt (/ 1 (cbrt (- a t)))))))

simplify132.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	1275	3914
1	4585	3618
2	5001	3606

prune274.0ms

Filtered

183 candidates to 147 candidates (19.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	1	10	11
Picked	1	0	1
Done	1	0	1
Total	184	12	196

Merged error: 3.6b

Counts

196 → 12

regimes601.0ms

Accuracy

10.8% (6.3b remaining)

Error of 10.1b against oracle of 3.8b and baseline of 10.9b

bsearch40.0ms

Steps

Iters	Range		Point
5	1.031334720216339e+202	2.3720087535370007e+202	1.0845118914046341e+202
8	-5.434210281818315e+27	-1.0410819483957154e+25	-5.346964750333344e+27

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	29
1	42	29

end0.0ms

sample890.0ms

Algorithm

intervals

Results

272.0ms	7412×	body	80	valid
60.0ms	436×	body	640	valid
46.0ms	255×	body	1280	valid
44.0ms	406×	body	320	valid
19.0ms	242×	body	160	valid
3.0ms	13×	body	2560	valid

Details

sample37.0ms

simplify119.0ms

prune4.0ms

localize9.0ms

rewrite25.0ms

series57.0ms

simplify46.0ms

prune135.0ms

localize13.0ms

rewrite46.0ms

series106.0ms

simplify87.0ms

prune186.0ms

localize18.0ms

rewrite37.0ms

series188.0ms

simplify89.0ms

prune252.0ms

localize24.0ms

rewrite62.0ms

series229.0ms

simplify132.0ms

prune274.0ms

regimes601.0ms

bsearch40.0ms

simplify2.0ms

end0.0ms

sample890.0ms

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