Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

353×

body

valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	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: 3.4b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.1b	(* (* z 3.0) y)
0.7b	(/ y (* z 3.0))
6.1b	(/ t (* (* z 3.0) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`associate-+l+` `frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

10.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
5.0ms	(* (* z 3.0) y)
4.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* (* z 3.0) y))

series31.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms	(* (* z 3.0) y)
3.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* (* z 3.0) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	405	532
1	2039	469
2	5001	469

prune136.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 0.3b

Counts

94 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (* (/ 1 (* z 3.0)) (/ t y)))
0.6b	(/ 1 (* z 3.0))
0.7b	(/ y (* z 3.0))
1.9b	(* (/ 1 (* z 3.0)) (/ t y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
35×	`add-cbrt-cube`
24×	`prod-exp`
22×	`add-sqr-sqrt`
21×	`div-exp`
19×	`times-frac`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
11×	`cbrt-undiv`
10×	`cbrt-unprod`
9×	`pow1` `add-log-exp`
7×	`associate-l`
6×	`rec-exp` `1-exp` `frac-add` `associate-/l*`
4×	`div-inv`
3×	`frac-times` `flip3--` `associate-r/` `associate-l/` `flip--`
2×	`associate-+l+` `pow-flip` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 124

Calls

4 calls:

8.0ms	(+ (- x (/ y (* z 3.0))) (* (/ 1 (* z 3.0)) (/ t y)))
5.0ms	(/ 1 (* z 3.0))
4.0ms	(/ y (* z 3.0))
11.0ms	(* (/ 1 (* z 3.0)) (/ t y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (- x (/ y (* z 3.0))) (* (/ 1 (* z 3.0)) (/ t y)))
2.0ms	(/ 1 (* z 3.0))
3.0ms	(/ y (* z 3.0))
6.0ms	(* (/ 1 (* z 3.0)) (/ t y))

simplify77.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	636	858
1	3143	752
2	5001	741

prune151.0ms

Filtered

80 candidates to 136 candidates (-70.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	137	8	145

Merged error: 0.0b

Counts

145 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ (/ y z) 3.0)) (* (/ 1 (* z 3.0)) (/ t y)))
0.2b	(/ (/ y z) 3.0)
0.6b	(/ 1 (* z 3.0))
1.9b	(* (/ 1 (* z 3.0)) (/ t y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
65×	`add-exp-log`
62×	`add-sqr-sqrt`
57×	`add-cube-cbrt` `*-un-lft-identity`
35×	`add-cbrt-cube`
23×	`prod-exp`
22×	`div-exp`
16×	`associate-/l*`
13×	`associate-r`
12×	`cbrt-undiv`
9×	`pow1` `cbrt-unprod` `add-log-exp`
8×	`div-inv`
7×	`associate-l`
6×	`rec-exp` `1-exp` `frac-add`
4×	`associate-/r*`
3×	`frac-times` `flip3--` `associate-r/` `associate-l/` `flip--`
2×	`associate-+l+` `pow-flip` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `*-commutative` `flip-+` `associate-/l/` `inv-pow`

Counts

4 → 173

Calls

4 calls:

19.0ms	(+ (- x (/ (/ y z) 3.0)) (* (/ 1 (* z 3.0)) (/ t y)))
6.0ms	(/ (/ y z) 3.0)
5.0ms	(/ 1 (* z 3.0))
11.0ms	(* (/ 1 (* z 3.0)) (/ t y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ (/ y z) 3.0)) (* (/ 1 (* z 3.0)) (/ t y)))
3.0ms	(/ (/ y z) 3.0)
2.0ms	(/ 1 (* z 3.0))
6.0ms	(* (/ 1 (* z 3.0)) (/ t y))

simplify91.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	875	1223
1	4015	1114
2	5002	1103

prune220.0ms

Filtered

125 candidates to 185 candidates (-48.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	181	4	185
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	186	7	193

Merged error: 0.0b

Counts

193 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (* (/ 1 z) (/ (/ t y) 3.0)))
0.3b	(/ (/ t y) 3.0)
0.7b	(/ y (* z 3.0))
1.9b	(* (/ 1 z) (/ (/ t y) 3.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
120×	`add-sqr-sqrt`
93×	`*-un-lft-identity`
90×	`add-cube-cbrt`
53×	`add-exp-log`
43×	`associate-r`
35×	`add-cbrt-cube`
23×	`div-exp`
16×	`associate-/l*`
14×	`cbrt-undiv`
13×	`associate-l` `prod-exp`
11×	`div-inv`
9×	`add-log-exp` `unswap-sqr`
7×	`cbrt-unprod`
6×	`pow1` `frac-add`
4×	`associate-/r*`
3×	`frac-times` `rec-exp` `flip3--` `1-exp` `associate-r/` `associate-l/` `flip--`
2×	`associate-+l+` `frac-2neg` `clear-num` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `*-commutative` `flip-+` `associate-/l/`

Counts

4 → 207

Calls

4 calls:

8.0ms	(+ (- x (/ y (* z 3.0))) (* (/ 1 z) (/ (/ t y) 3.0)))
6.0ms	(/ (/ t y) 3.0)
4.0ms	(/ y (* z 3.0))
24.0ms	(* (/ 1 z) (/ (/ t y) 3.0))

series30.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (- x (/ y (* z 3.0))) (* (/ 1 z) (/ (/ t y) 3.0)))
3.0ms	(/ (/ t y) 3.0)
3.0ms	(/ y (* z 3.0))
6.0ms	(* (/ 1 z) (/ (/ t y) 3.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	1068	1558
1	4876	1411
2	5001	1408

prune261.0ms

Filtered

164 candidates to 219 candidates (-33.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	219	7	226

Merged error: 0b

Counts

226 → 7

regimes362.0ms

Accuracy

24.1% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.6b

bsearch22.0ms

Steps

Iters	Range		Point
7	-3.987106376802105e-249	-2.0539003600899137e-250	-3.7235193154398726e-249

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

end0.0ms

sample896.0ms

Algorithm

intervals

Results

498.0ms

11164×

body

valid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Details

sample37.0ms

simplify37.0ms

prune4.0ms

localize14.0ms

rewrite27.0ms

series31.0ms

simplify52.0ms

prune136.0ms

localize10.0ms

rewrite34.0ms

series29.0ms

simplify77.0ms

prune151.0ms

localize11.0ms

rewrite47.0ms

series29.0ms

simplify91.0ms

prune220.0ms

localize11.0ms

rewrite52.0ms

series30.0ms

simplify107.0ms

prune261.0ms

regimes362.0ms

bsearch22.0ms

simplify2.0ms

end0.0ms

sample896.0ms

Profiling

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7