Details

sample40.0ms

Algorithm

intervals

Results

9.0ms	236×	body	80	valid
6.0ms	8×	body	1280	valid
2.0ms	16×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid

simplify122.0ms

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: 16.9b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.3b	(- (+ x y) (/ (* (- z t) y) (- a t)))
13.4b	(/ (* (- 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)))
8.0ms	(/ (* (- z t) y) (- a t))

series60.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (- z t) y)
38.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
16.0ms	(/ (* (- 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

prune132.0ms

Filtered

79 candidates to 56 candidates (29.1%)

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: 3.9b

Counts

80 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
3.9b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
7.4b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite49.0ms

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))
29.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
8.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- a t))
27.0ms	(cbrt (- a t))
26.0ms	(* (/ (- 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)))))

simplify93.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (75.0ms)

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

prune214.0ms

Filtered

139 candidates to 105 candidates (24.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	131	8	139
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	134	15	149

Merged error: 3.9b

Counts

149 → 15

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
3.9b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
14.0b	(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite45.0ms

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))
31.0ms	(* (/ (- 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)))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- a t))
27.0ms	(cbrt (- a t))
26.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
24.0ms	(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	665	1532
1	2823	1381
2	5001	1298

prune196.0ms

Filtered

131 candidates to 99 candidates (24.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	3	11	14
Picked	0	1	1
Done	0	0	0
Total	132	14	146

Merged error: 3.6b

Counts

146 → 14

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
8.1b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
32×	`cbrt-div`
22×	`add-sqr-sqrt` `add-cbrt-cube`
19×	`frac-times`
17×	`associate-l`
16×	`times-frac` `associate-r` `associate-/r/`
15×	`associate-*l/` `prod-exp` `cbrt-unprod`
14×	`frac-sub`
13×	`flip3--` `flip--`
12×	`cbrt-undiv` `*-un-lft-identity` `div-exp`
11×	`associate-*r/`
10×	`add-cube-cbrt`
9×	`cbrt-prod` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1` `unswap-sqr`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
26.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
7.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

series190.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
101.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
47.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify117.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	1081	2930
1	4392	2614
2	5001	2566

prune147.0ms

Filtered

131 candidates to 98 candidates (25.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	130	15	145

Merged error: 3.6b

Counts

145 → 15

regimes665.0ms

Accuracy

13.3% (5.9b remaining)

Error of 9.9b against oracle of 4.0b and baseline of 10.8b

bsearch55.0ms

Steps

Iters	Range		Point
8	3.946178239107607e+220	3.178858607267941e+223	4.073621330157713e+220
9	-1.5791695264826115e+166	-9.810666283005078e+160	-4.1831138401846353e+161

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	29
1	37	29

end0.0ms

sample949.0ms

Algorithm

intervals

Results

280.0ms	7375×	body	80	valid
72.0ms	475×	body	640	valid
46.0ms	402×	body	320	valid
42.0ms	232×	body	1280	valid
17.0ms	236×	body	160	valid
3.0ms	14×	body	2560	valid

Details

sample40.0ms

simplify122.0ms

prune4.0ms

localize9.0ms

rewrite26.0ms

series60.0ms

simplify46.0ms

prune132.0ms

localize13.0ms

rewrite49.0ms

series116.0ms

simplify93.0ms

prune214.0ms

localize13.0ms

rewrite45.0ms

series104.0ms

simplify77.0ms

prune196.0ms

localize22.0ms

rewrite40.0ms

series190.0ms

simplify117.0ms

prune147.0ms

regimes665.0ms

bsearch55.0ms

simplify2.0ms

end0.0ms

sample949.0ms

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