Details

sample47.0ms

Algorithm

intervals

Results

7.0ms	171×	body	80	valid
7.0ms	31×	body	1280	valid
4.0ms	24×	body	1280	nan
4.0ms	25×	body	640	valid
3.0ms	20×	body	640	nan
2.0ms	19×	body	320	valid
2.0ms	65×	body	80	nan
1.0ms	12×	body	320	nan
1.0ms	10×	body	160	valid
0.0ms	5×	body	160	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	29	6
2	41	6
3	60	6
4	78	6
5	94	6
6	109	6
7	139	6
8	214	6
9	279	6
10	279	6

prune8.0ms

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: 21.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
2.8b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.7b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 108

Calls

4 calls:

16.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
7.0ms	(/ (- x y) (- 1.0 y))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
45.0ms	(/ (- x y) (- 1.0 y))
64.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
105.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	488	942
1	1388	894
2	5001	876

prune807.0ms

Filtered

120 candidates to 88 candidates (26.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	5	121

Merged error: 0.2b

Counts

121 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1.0 y))
0.3b	(cbrt (- 1.0 y))
5.7b	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
14.4b	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`cbrt-prod`
12×	`times-frac` `difference-of-squares`
9×	`log-prod`
7×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`log-div` `pow1/3` `div-sub`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow` `associate--r-`

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
42.0ms	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
41.0ms	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (- 1.0 y))
110.0ms	(cbrt (- 1.0 y))
100.0ms	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
64.0ms	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

simplify92.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	380	1130
1	970	1010
2	3612	984
3	5002	980

prune685.0ms

Filtered

81 candidates to 68 candidates (16.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Merged error: 0.2b

Counts

86 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.8b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`times-frac`
37×	`add-cube-cbrt`
28×	`difference-of-squares`
24×	`log-prod`
20×	`distribute-lft-out--`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3--` `flip--`
3×	`div-exp` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `log-div` `diff-log` `log-pow` `associate--r-`

Counts

4 → 144

Calls

4 calls:

15.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms	(/ (- x y) (- 1.0 y))
16.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
48.0ms	(/ (- x y) (- 1.0 y))
155.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
62.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	621	1546
1	1974	1467
2	5001	1448

prune1.2s

Filtered

156 candidates to 118 candidates (24.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	156	5	161

Merged error: 0.0b

Counts

161 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
0.0b	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
0.4b	(* (* 1.0 (exp 1.0)) (- x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in`
3×	`log-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `flip3--` `rem-log-exp` `associate-l` `sum-log` `log-pow` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 55

Calls

3 calls:

11.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
9.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
8.0ms	(* (* 1.0 (exp 1.0)) (- x y))

series447.0ms

Counts

3 → 9

Calls

3 calls:

218.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
116.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
113.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	326	591
1	1456	505
2	5002	464

prune191.0ms

Filtered

64 candidates to 43 candidates (32.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

regimes246.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.9b

bsearch147.0ms

Steps

Iters	Range		Point
11	3.523655426256728e-13	10404560385.548195	34457632.33079309
8	-160137604925.94046	-54745032.4359988	-268009094.71466285

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	16
1	34	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

257.0ms	5691×	body	80	valid
186.0ms	810×	body	1280	valid
130.0ms	797×	body	640	valid
114.0ms	674×	body	1280	nan
98.0ms	724×	body	640	nan
82.0ms	2572×	body	80	nan
53.0ms	453×	body	320	valid
40.0ms	421×	body	320	nan
19.0ms	249×	body	160	valid
13.0ms	203×	body	160	nan

Details

sample47.0ms

simplify17.0ms

prune8.0ms

localize9.0ms

rewrite52.0ms

series325.0ms

simplify45.0ms

prune807.0ms

localize12.0ms

rewrite90.0ms

series385.0ms

simplify92.0ms

prune685.0ms

localize10.0ms

rewrite59.0ms

series449.0ms

simplify55.0ms

prune1.2s

localize10.0ms

rewrite29.0ms

series447.0ms

simplify46.0ms

prune191.0ms

regimes246.0ms

bsearch147.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling