Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

261×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	21	3
3	21	3

prune2.0ms

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: 2.9b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* z t))
2.9b	(/ x (- y (* z t)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `prod-diff` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

3.0ms	(- y (* z t))
5.0ms	(/ x (- y (* z t)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- y (* z t))
37.0ms	(/ x (- y (* z t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	180	288
1	538	261
2	1859	260
3	5001	245

prune143.0ms

Filtered

57 candidates to 44 candidates (77.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	8	58

Merged error: 2.9b

Counts

58 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.6b	(/ 1 (/ (- y (* z t)) x))
2.7b	(/ (- y (* z t)) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-/r*`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-neg` `prod-diff` `log1p-expm1-u`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `associate-/r/` `inv-pow`

Counts

3 → 130

Calls

3 calls:

4.0ms	(- y (* z t))
12.0ms	(/ 1 (/ (- y (* z t)) x))
6.0ms	(/ (- y (* z t)) x)

series192.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- y (* z t))
110.0ms	(/ 1 (/ (- y (* z t)) x))
45.0ms	(/ (- y (* z t)) x)

simplify66.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	434	991
1	1842	881
2	5001	802

prune245.0ms

Filtered

139 candidates to 81 candidates (58.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	140	7	147

Merged error: 2.9b

Counts

147 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

474×	`times-frac`
223×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
47×	`add-exp-log`
34×	`div-exp`
32×	`div-inv`
31×	`associate-/r/`
18×	`associate-/l*`
17×	`add-cbrt-cube`
16×	`flip3--` `associate-/r*` `flip--`
9×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `fma-neg` `prod-diff` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-/l/` `inv-pow`

Counts

3 → 312

Calls

3 calls:

3.0ms	(- y (* z t))
5.0ms	(/ 1 (- y (* z t)))
14.0ms	(/ (/ 1 (- y (* z t))) (/ 1 x))

series202.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- y (* z t))
54.0ms	(/ 1 (- y (* z t)))
113.0ms	(/ (/ 1 (- y (* z t))) (/ 1 x))

simplify87.0ms

Algorithm

egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	1378	3654
1	5002	3062

prune526.0ms

Filtered

321 candidates to 158 candidates (49.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	319	2	321
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	321	7	328

Merged error: 2.9b

Counts

328 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.6b	(/ 1 (* (- y (* z t)) (/ 1 x)))
2.8b	(* (- y (* z t)) (/ 1 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
22×	`add-sqr-sqrt`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`*-un-lft-identity` `prod-exp`
15×	`add-cube-cbrt`
14×	`times-frac`
13×	`associate-r`
9×	`rec-exp` `1-exp`
8×	`pow1`
6×	`associate-/r/`
5×	`cbrt-undiv` `flip3--` `flip--` `add-log-exp`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `log1p-expm1-u` `associate-/l*` `unswap-sqr`
2×	`pow-flip` `associate-*r/` `pow-prod-down` `un-div-inv` `div-inv`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r` `-commutative` `inv-pow`

Counts

3 → 108

Calls

3 calls:

3.0ms	(- y (* z t))
9.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
10.0ms	(* (- y (* z t)) (/ 1 x))

series216.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- y (* z t))
126.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
57.0ms	(* (- y (* z t)) (/ 1 x))

simplify61.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	401	655
1	1778	524
2	5001	496

prune208.0ms

Filtered

117 candidates to 71 candidates (60.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	117	7	124

Merged error: 2.9b

Counts

124 → 7

regimes220.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample434.0ms

Algorithm

intervals

Results

213.0ms

8372×

body

valid