Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	233×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	11×	body	1280	valid
1.0ms	10×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	1×	body	2560	valid

simplify115.0ms

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

prune4.0ms

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: 15.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
3.0b	(- (+ x y) (/ (* (- z t) y) (- a t)))
10.9b	(/ (* (- 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))

series59.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (- z t) y)
34.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
18.0ms	(/ (* (- z t) y) (- a t))

simplify42.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (9.0ms)

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

prune133.0ms

Filtered

56 candidates to 79 candidates (-41.1%)

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: 4.0b

Counts

80 → 11

localize13.0ms

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))))
7.0b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite44.0ms

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))
28.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
6.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- a t))
26.0ms	(cbrt (- a t))
22.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
37.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (69.0ms)

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

prune196.0ms

Filtered

105 candidates to 139 candidates (-32.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	132	7	139
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	136	14	150

Merged error: 4.0b

Counts

150 → 14

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
8.9b	(- (+ 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))))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`frac-sub`
10×	`frac-times` `associate-*l/`
9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-*r/`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
11.0ms	(- (+ 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))))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
22.0ms	(cbrt y)
22.0ms	(cbrt y)
49.0ms	(- (+ 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))))))

simplify55.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	438	1340
1	1713	1275
2	5002	1236

prune148.0ms

Filtered

59 candidates to 73 candidates (-23.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	73	14	87

Merged error: 4.0b

Counts

87 → 14

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
9.9b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`frac-sub`
10×	`frac-times` `associate-*l/`
9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-*r/`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 61

Calls

4 calls:

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

series116.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
23.0ms	(cbrt y)
22.0ms	(cbrt y)
46.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	446	1383
1	1789	1194
2	5003	1139

prune85.0ms

Filtered

59 candidates to 73 candidates (-23.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	12	12
Picked	1	0	1
Done	0	1	1
Total	73	14	87

Merged error: 4.0b

Counts

87 → 14

regimes625.0ms

Accuracy

17.7% (5.8b remaining)

Error of 9.9b against oracle of 4.1b and baseline of 11.2b

bsearch53.0ms

Steps

Iters	Range		Point
8	3.191883530290144e+166	4.071342523948288e+169	5.024523508341537e+166
9	-1.0615300018029598e+122	-1.5141475767524309e+116	-1.593540322563007e+121

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	29
1	37	29

end0.0ms

sample864.0ms

Algorithm

intervals

Results

291.0ms	7399×	body	80	valid
60.0ms	434×	body	640	valid
44.0ms	251×	body	1280	valid
43.0ms	387×	body	320	valid
21.0ms	259×	body	160	valid
4.0ms	19×	body	2560	valid

Details

sample48.0ms

simplify115.0ms

prune4.0ms

localize9.0ms

rewrite25.0ms

series59.0ms

simplify42.0ms

prune133.0ms

localize13.0ms

rewrite44.0ms

series113.0ms

simplify83.0ms

prune196.0ms

localize25.0ms

rewrite20.0ms

series115.0ms

simplify55.0ms

prune148.0ms

localize22.0ms

rewrite12.0ms

series116.0ms

simplify63.0ms

prune85.0ms

regimes625.0ms

bsearch53.0ms

simplify2.0ms

end0.0ms

sample864.0ms

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