Details

analyze1.1s

Algorithm: search

sample93.0ms

Algorithm

intervals

Results

36.0ms	57×	body	1280	valid
18.0ms	56×	body	640	valid
8.0ms	110×	body	80	valid
6.0ms	25×	body	320	valid
3.0ms	55×	body	80	nan
2.0ms	8×	body	640	nan
2.0ms	1×	body	2560	valid
1.0ms	7×	body	320	nan
1.0ms	23×	body	80	overflowed
1.0ms	3×	body	1280	nan
1.0ms	7×	body	160	valid
0.0ms	4×	body	160	nan

simplify216.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	628	7
9	935	7
10	1028	7
11	1354	7
12	3968	7
13	5002	7

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: 26.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
0.8b	(log (+ (- 1.0 y) (* y (exp z))))
1.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
8.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
40.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
13.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5002	726

prune145.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	4	93

Merged error: 3.6b

Counts

93 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.2b	(* 0.5 (pow z 2))
2.1b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.5b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`associate-r`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-r/` `-commutative` `cbrt-unprod` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 89

Calls

4 calls:

4.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
5.0ms	(* 0.5 (pow z 2))
6.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series47.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
5.0ms	(* 0.5 (pow z 2))
14.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
22.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify59.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	415	800
1	1832	721
2	5002	715

prune206.0ms

Filtered

71 candidates to 101 candidates (-42.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 3.5b

Counts

105 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.5 (pow z 2))
0.3b	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
2.1b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.7b	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
69×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-r` `associate-/r/`
8×	`div-exp`
7×	`pow1`
6×	`flip3-+` `associate-l` `flip-+` `div-inv` `associate-/l*`
5×	`unswap-sqr`
4×	`cbrt-undiv` `unpow-prod-down` `prod-exp` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-r/` `clear-num` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `pow-flip` `distribute-lft-in` `pow-prod-down` `pow-exp` `inv-pow`

Counts

4 → 162

Calls

4 calls:

5.0ms	(* 0.5 (pow z 2))
7.0ms	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
6.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.0ms	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 0.5 (pow z 2))
28.0ms	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
14.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
43.0ms	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

simplify94.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	709	2213
1	3621	2016
2	5002	1930

prune286.0ms

Filtered

98 candidates to 174 candidates (-77.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	174	9	183

Merged error: 3.5b

Counts

183 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

2.1b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
19.0b	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
19.0b	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
19.0b	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

6.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
2.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
2.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
2.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
46.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
44.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
227.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	374	1161
1	1546	1097
2	5002	1007

prune343.0ms

Filtered

58 candidates to 73 candidates (-25.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	72	10	82

Merged error: 3.5b

Counts

82 → 10

regimes789.0ms

Accuracy

75.2% (4.0b remaining)

Error of 8.5b against oracle of 4.5b and baseline of 20.6b

bsearch1.2s

Steps

Iters	Range		Point
8	-1.975479180999165e-11	-1.0303912840161412e-14	-2.5469650650711028e-14

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	25
1	38	25

end0.0ms

analyze1.1s

Algorithm: search

sample2.6s

Algorithm

intervals

Results

836.0ms	1448×	body	1280	valid
527.0ms	1557×	body	640	valid
254.0ms	3559×	body	80	valid
192.0ms	857×	body	320	valid
105.0ms	81×	body	2560	valid
70.0ms	1525×	body	80	nan
68.0ms	498×	body	160	valid
60.0ms	243×	body	640	nan
45.0ms	130×	body	1280	nan
42.0ms	801×	body	80	overflowed
30.0ms	186×	body	320	nan
13.0ms	124×	body	160	nan
1.0ms	20×	body	80	invalid

Details

analyze1.1s

sample93.0ms

simplify216.0ms

prune4.0ms

localize10.0ms

rewrite25.0ms

series66.0ms

simplify49.0ms

prune145.0ms

localize12.0ms

rewrite23.0ms

series47.0ms

simplify59.0ms

prune206.0ms

localize14.0ms

rewrite29.0ms

series88.0ms

simplify94.0ms

prune286.0ms

localize20.0ms

rewrite15.0ms

series331.0ms

simplify51.0ms

prune343.0ms

regimes789.0ms

bsearch1.2s

simplify2.0ms

end0.0ms

analyze1.1s

sample2.6s

Profiling