Details

analyze631.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	66×	body	80	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune15.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

9.3b	(* (/ x y) (- z t))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`frac-times` `sub-neg` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 40

Calls

1 calls:

10.0ms

(* (/ x y) (- z t))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(* (/ x y) (- z t))

simplify38.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5004	388

prune70.0ms

Filtered

33 candidates to 43 candidates (-30.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	7	45

Merged error: 0.0b

Counts

45 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
2.6b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
6.8b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 164

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
23.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
19.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series102.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- z t))
28.0ms	(cbrt (- z t))
16.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
32.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5322	3383

prune170.0ms

Filtered

104 candidates to 176 candidates (-69.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	175	8	183

Merged error: 0b

Counts

183 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
8.9b	(* (/ x y) (* (cbrt (- z t)) (* (cbrt (- z t)) (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

654×	`cbrt-div`
352×	`frac-times`
219×	`flip3--` `flip--`
216×	`associate-*r/`
53×	`associate-*l/`
36×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`add-sqr-sqrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
18×	`pow1`
15×	`cbrt-prod`
14×	`add-cube-cbrt`
13×	`associate-l`
10×	`pow-prod-down`
9×	`times-frac`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 248

Calls

4 calls:

4.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
43.0ms	(* (/ x y) (* (cbrt (- z t)) (* (cbrt (- z t)) (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))))))

series123.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- z t))
26.0ms	(cbrt (- z t))
30.0ms	(cbrt (- z t))
40.0ms	(* (/ x y) (* (cbrt (- z t)) (* (cbrt (- z t)) (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))))))

simplify95.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5145	8472

prune436.0ms

Filtered

184 candidates to 260 candidates (-41.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	260	8	268

Merged error: 0b

Counts

268 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.8b	(* (- z t) (/ (cbrt x) y))
5.1b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (- z t) (/ (cbrt x) y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
32×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`times-frac` `associate-r`
22×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
12×	`associate-l`
11×	`pow1` `frac-times`
10×	`cbrt-undiv`
8×	`associate-*r/`
7×	`associate-*l/`
6×	`flip3--` `1-exp` `flip--`
4×	`pow-prod-down` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt x)
12.0ms	(* (- z t) (/ (cbrt x) y))
15.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (- z t) (/ (cbrt x) y)))

series93.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x)
22.0ms	(cbrt x)
31.0ms	(* (- z t) (/ (cbrt x) y))
16.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (- z t) (/ (cbrt x) y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5029	1143

prune106.0ms

Filtered

85 candidates to 135 candidates (-58.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	135	8	143

Merged error: 0b

Counts

143 → 8

regimes507.0ms

Accuracy

10.8% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.0b

bsearch32.0ms

Steps

Iters	Range		Point
6	1.8778512284352017e-120	1.6559377457976017e-119	1.9912695390203027e-120
10	-3.323309310268559e-153	-2.760375179436749e-164	-5.0212560282729745e-157

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	34
1	40	34

end0.0ms

sample523.0ms

Algorithm

intervals

Results

229.0ms	8000×	body	80	valid
62.0ms	1982×	body	80	invalid

Details

analyze631.0ms

sample21.0ms

simplify35.0ms

prune15.0ms

localize7.0ms

rewrite11.0ms

series12.0ms

simplify38.0ms

prune70.0ms

localize11.0ms

rewrite57.0ms

series102.0ms

simplify59.0ms

prune170.0ms

localize17.0ms

rewrite85.0ms

series123.0ms

simplify95.0ms

prune436.0ms

localize12.0ms

rewrite36.0ms

series93.0ms

simplify82.0ms

prune106.0ms

regimes507.0ms

bsearch32.0ms

simplify1.0ms

end0.0ms

sample523.0ms

Profiling