Details

sample95.0ms

Algorithm

intervals

Results

21.0ms	37×	body	1280	valid
17.0ms	34×	body	10240	exit
15.0ms	51×	body	640	valid
8.0ms	127×	body	80	valid
4.0ms	17×	body	160	valid
4.0ms	4×	body	2560	valid
4.0ms	20×	body	320	valid
3.0ms	75×	body	80	nan
1.0ms	6×	body	640	nan
1.0ms	5×	body	320	nan
1.0ms	2×	body	1280	nan
0.0ms	2×	body	160	nan

simplify209.0ms

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	710	7
9	1092	7
10	1240	7
11	1558	7
12	4191	7
13	5001	7

prune3.0ms

Filtered

1 candidates to 0 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: 23.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.7b	(log (+ (- 1.0 y) (* y (exp z))))
3.5b	(+ (- 1.0 y) (* y (exp z)))

rewrite29.0ms

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))
9.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
6.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp z))
163.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
74.0ms	(log (+ (- 1.0 y) (* y (exp z))))
40.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune268.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 3.8b

Counts

93 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.0b	(* 0.5 (pow z 2))
2.2b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.9b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite27.0ms

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:

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

series330.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
32.0ms	(* 0.5 (pow z 2))
92.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
130.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	415	800
1	1832	721
2	5001	715

prune294.0ms

Filtered

101 candidates to 71 candidates (70.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	96	12	108

Merged error: 3.8b

Counts

108 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.0b	(* 0.5 (pow z 2))
2.2b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
7.0b	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
6.0ms	(* 0.5 (pow z 2))
11.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
10.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

series324.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
25.0ms	(* 0.5 (pow z 2))
92.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
132.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

simplify81.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	526	909
1	2623	809
2	5001	797

prune304.0ms

Filtered

112 candidates to 74 candidates (66.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	112	12	124

Merged error: 3.8b

Counts

124 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

2.2b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
21.4b	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
21.4b	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
21.4b	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

rewrite17.0ms

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:

7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
3.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
3.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
3.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

99.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
363.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
352.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
344.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	374	1161
1	1546	1097
2	5001	1007

prune308.0ms

Filtered

73 candidates to 58 candidates (79.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	73	12	85

Merged error: 3.8b

Counts

85 → 12

regimes601.0ms

Accuracy

74.1% (4.2b remaining)

Error of 8.5b against oracle of 4.3b and baseline of 20.5b

bsearch22.0ms

Steps

Iters	Range		Point
2	-8.328242841637719	-7.218583477017294	-7.33677571999249

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	17
1	38	17

end0.0ms

sample3.2s

Algorithm

intervals

Results

805.0ms	1436×	body	1280	valid
771.0ms	1511×	body	10240	exit
476.0ms	1601×	body	640	valid
218.0ms	3545×	body	80	valid
161.0ms	867×	body	320	valid
101.0ms	77×	body	2560	valid
94.0ms	2423×	body	80	nan
59.0ms	492×	body	160	valid
48.0ms	232×	body	640	nan
34.0ms	113×	body	1280	nan
24.0ms	173×	body	320	nan
10.0ms	111×	body	160	nan

Details

sample95.0ms

simplify209.0ms

prune3.0ms

localize11.0ms

rewrite29.0ms

series300.0ms

simplify61.0ms

prune268.0ms

localize14.0ms

rewrite27.0ms

series330.0ms

simplify65.0ms

prune294.0ms

localize15.0ms

rewrite34.0ms

series324.0ms

simplify81.0ms

prune304.0ms

localize18.0ms

rewrite17.0ms

series1.2s

simplify55.0ms

prune308.0ms

regimes601.0ms

bsearch22.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling