Details

analyze1.2s

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
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

sample93.0ms

Algorithm

intervals

Results

29.0ms	48×	body	1280	valid
16.0ms	47×	body	640	valid
8.0ms	41×	body	320	valid
8.0ms	107×	body	80	valid
2.0ms	43×	body	80	nan
2.0ms	8×	body	640	nan
2.0ms	1×	body	2560	valid
2.0ms	12×	body	160	valid
1.0ms	25×	body	80	overflowed
1.0ms	4×	body	1280	nan
1.0ms	6×	body	320	nan
0.0ms	3×	body	160	nan

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (218.0ms)

Iter	Nodes	Cost
0	3730	13
1	3730	13

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.5b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
0.9b	(log (+ 1.0 (- (* y (exp z)) y)))
2.5b	(- (* y (exp z)) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

7.0ms	(* y (exp z))
8.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
5.0ms	(- (* y (exp z)) y)

series64.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
38.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
13.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
8.0ms	(- (* y (exp z)) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5135	1208

prune149.0ms

Filtered

69 candidates to 89 candidates (-29.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Merged error: 3.8b

Counts

90 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
0.9b	(log (+ 1.0 (- (* y (exp z)) y)))
2.5b	(- (* y (exp z)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`associate-r`
15×	`add-exp-log` `add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube`
10×	`pow1`
7×	`associate-l`
6×	`add-log-exp`
5×	`prod-exp`
4×	`log-prod` `unswap-sqr`
3×	`cbrt-unprod`
2×	`log-div` `div-exp` `pow-prod-down` `log-pow` `*-commutative`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3--` `flip3-+` `diff-log` `1-exp` `associate-*r/` `rem-log-exp` `un-div-inv` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* y (exp z))
7.0ms	(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
5.0ms	(- (* y (exp z)) y)

series64.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
38.0ms	(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
13.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
7.0ms	(- (* y (exp z)) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5200	1128

prune144.0ms

Filtered

69 candidates to 93 candidates (-34.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	91	7	98

Merged error: 3.8b

Counts

98 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ z (/ t z))
3.5b	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
4.2b	(* y (/ z (/ t z)))
5.0b	(* y (/ z t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
104×	`add-sqr-sqrt`
90×	`add-cube-cbrt` `*-un-lft-identity`
57×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
10×	`associate-*r/` `div-inv`
9×	`add-log-exp`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`frac-add`
3×	`sum-log` `associate-/l*`
2×	`flip3-+` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+`
1×	`+-commutative` `associate-+r+` `frac-2neg` `clear-num`

Counts

4 → 184

Calls

4 calls:

6.0ms	(/ z (/ t z))
16.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
13.0ms	(* y (/ z (/ t z)))
6.0ms	(* y (/ z t))

series38.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ z (/ t z))
21.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
8.0ms	(* y (/ z (/ t z)))
5.0ms	(* y (/ z t))

simplify69.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4964	2144
1	4964	2144

prune281.0ms

Filtered

148 candidates to 196 candidates (-32.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	192	4	196
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	193	10	203

Merged error: 3.7b

Counts

203 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.6b	(* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))))
3.5b	(+ (* 1.0 (* (* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
4.2b	(* y (/ z (/ t z)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
67×	`associate-*r/`
52×	`add-sqr-sqrt`
45×	`associate-r`
42×	`add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log`
28×	`frac-add`
23×	`add-cbrt-cube`
16×	`frac-times` `associate-*l/`
12×	`prod-exp` `cbrt-unprod`
11×	`pow1`
9×	`add-log-exp`
8×	`flip3-+` `flip-+`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
4×	`pow-prod-down` `div-inv` `unswap-sqr`
3×	`cbrt-prod` `sum-log`
2×	`*-commutative`
1×	`+-commutative` `associate-+r+` `pow1/3` `associate-/r/`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt t)
13.0ms	(* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))))
29.0ms	(+ (* 1.0 (* (* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
13.0ms	(* y (/ z (/ t z)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
25.0ms	(* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))))
22.0ms	(+ (* 1.0 (* (* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
8.0ms	(* y (/ z (/ t z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4980	3135
1	4980	3135

prune203.0ms

Filtered

107 candidates to 151 candidates (-41.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	147	4	151
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	148	13	161

Merged error: 3.7b

Counts

161 → 13

regimes622.0ms

Accuracy

53.5% (5.0b remaining)

Error of 8.9b against oracle of 3.9b and baseline of 14.6b

bsearch95.0ms

Steps

Iters	Range		Point
10	1.7288899454422402e-204	1.0822007192513876e-193	5.038099887940745e-195
5	-5.4916647067163655e+26	-1.5432563653985228e+26	-1.5821215835774233e+26

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	350	85
1	350	85

end0.0ms

sample2.7s

Algorithm

intervals

Results

853.0ms	1430×	body	1280	valid
536.0ms	1552×	body	640	valid
258.0ms	3497×	body	80	valid
219.0ms	992×	body	320	valid
112.0ms	80×	body	2560	valid
79.0ms	1546×	body	80	nan
62.0ms	249×	body	640	nan
61.0ms	449×	body	160	valid
48.0ms	808×	body	80	overflowed
32.0ms	93×	body	1280	nan
29.0ms	164×	body	320	nan
15.0ms	125×	body	160	nan
1.0ms	23×	body	80	invalid

Details

analyze1.2s

sample93.0ms

simplify220.0ms

prune10.0ms

localize10.0ms

rewrite27.0ms

series64.0ms

simplify53.0ms

prune149.0ms

localize11.0ms

rewrite26.0ms

series64.0ms

simplify56.0ms

prune144.0ms

localize16.0ms

rewrite49.0ms

series38.0ms

simplify69.0ms

prune281.0ms

localize26.0ms

rewrite67.0ms

series76.0ms

simplify66.0ms

prune203.0ms

regimes622.0ms

bsearch95.0ms

simplify5.0ms

end0.0ms

sample2.7s

Profiling