Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

264×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune5.0ms

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: 6.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 97

Calls

4 calls:

3.0ms	(- (* y z) x)
3.0ms	(- (* t z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series60.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y z) x)
5.0ms	(- (* t z) x)
34.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
16.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	399	950
1	1413	884
2	5001	882

prune538.0ms

Filtered

109 candidates to 78 candidates (28.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	8	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	8	110

Merged error: 0.7b

Counts

110 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.5b	(/ 1 (- (* t z) x))
8.7b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`prod-exp` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 122

Calls

4 calls:

3.0ms	(- (* t z) x)
7.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ 1 (- (* t z) x))
12.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* t z) x)
35.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
6.0ms	(/ 1 (- (* t z) x))
16.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	468	1136
1	2109	1015
2	5003	984

prune639.0ms

Filtered

134 candidates to 86 candidates (35.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	134	8	142

Merged error: 0.7b

Counts

142 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ 1 (+ x 1.0))
0.1b	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
9.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

3.0ms	(- (* t z) x)
5.0ms	(/ 1 (+ x 1.0))
20.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series77.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* t z) x)
2.0ms	(/ 1 (+ x 1.0))
43.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
26.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	532	1086
1	2359	980
2	5003	946

prune576.0ms

Filtered

139 candidates to 88 candidates (36.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	139	8	147

Merged error: 0.7b

Counts

147 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y t))
0.0b	(/ 1 (+ x 1.0))
2.9b	(* (+ x (/ y t)) (/ 1 (+ x 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`distribute-lft-out`
6×	`pow1`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r*` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 95

Calls

3 calls:

5.0ms	(+ x (/ y t))
5.0ms	(/ 1 (+ x 1.0))
13.0ms	(* (+ x (/ y t)) (/ 1 (+ x 1.0)))

series14.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ x (/ y t))
2.0ms	(/ 1 (+ x 1.0))
8.0ms	(* (+ x (/ y t)) (/ 1 (+ x 1.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	377	583
1	1717	510
2	5001	476

prune213.0ms

Filtered

104 candidates to 61 candidates (41.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	103	9	112

Merged error: 0.7b

Counts

112 → 9

regimes365.0ms

Accuracy

54.3% (3.2b remaining)

Error of 3.9b against oracle of 0.7b and baseline of 7.6b

bsearch125.0ms

Steps

Iters	Range		Point
8	7.177658210016283e+79	5.936133990141283e+82	1.0913635958107835e+81
9	-2.6092807394311165e+198	-3.373048718602093e+192	-3.504122238572139e+192

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms

sample752.0ms

Algorithm

intervals

Results

408.0ms

8328×

body

valid

Details

sample30.0ms

simplify42.0ms

prune5.0ms

localize11.0ms

rewrite36.0ms

series60.0ms

simplify51.0ms

prune538.0ms

localize12.0ms

rewrite31.0ms

series62.0ms

simplify58.0ms

prune639.0ms

localize12.0ms

rewrite40.0ms

series77.0ms

simplify67.0ms

prune576.0ms

localize7.0ms

rewrite26.0ms

series14.0ms

simplify50.0ms

prune213.0ms

regimes365.0ms

bsearch125.0ms

simplify1.0ms

end0.0ms

sample752.0ms

Profiling