Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

268×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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: 2.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* z t))
2.5b	(/ x (- y (* z t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
21×	`times-frac`
14×	`associate-l`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-r`
8×	`unswap-sqr`
7×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `-commutative` `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 → 104

Calls

2 calls:

8.0ms	(- y (* z t))
9.0ms	(/ x (- y (* z t)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- y (* z t))
48.0ms	(/ x (- y (* z t)))

simplify97.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	387	954
1	1179	689
2	5001	671

prune151.0ms

Filtered

110 candidates to 59 candidates (53.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	11	111

Merged error: 2.1b

Counts

111 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.4b	(/ 1 (- y (* z t)))
2.1b	(* x (/ 1 (- y (* z t))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

109×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
51×	`add-cube-cbrt`
44×	`times-frac`
36×	`associate-r` `prod-diff`
21×	`associate-l`
18×	`distribute-lft-out--` `difference-of-squares`
16×	`add-exp-log`
15×	`unswap-sqr`
14×	`associate-/r*`
13×	`associate-*r/`
10×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/` `*-commutative`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `clear-num` `un-div-inv` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `rec-exp` `frac-2neg` `1-exp` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `inv-pow`

Counts

3 → 174

Calls

3 calls:

8.0ms	(- y (* z t))
9.0ms	(/ 1 (- y (* z t)))
23.0ms	(* x (/ 1 (- y (* z t))))

series130.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- y (* z t))
57.0ms	(/ 1 (- y (* z t)))
40.0ms	(* x (/ 1 (- y (* z t))))

simplify114.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	518	1286
1	1894	957
2	5001	877

prune228.0ms

Filtered

183 candidates to 87 candidates (47.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	1	8	9
Picked	0	1	1
Done	1	0	1
Total	183	11	194

Merged error: 2.1b

Counts

194 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.6b	(/ 1 (/ (- y (* z t)) x))
2.4b	(/ (- y (* z t)) x)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

205×	`add-sqr-sqrt`
186×	`*-un-lft-identity`
180×	`times-frac`
109×	`add-cube-cbrt`
38×	`distribute-lft-out--`
36×	`prod-diff` `difference-of-squares`
31×	`associate-/r*`
28×	`associate-l`
21×	`unswap-sqr`
20×	`associate-/l*`
16×	`add-exp-log`
15×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`associate-r`
8×	`div-exp`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `clear-num` `associate-/l/` `remove-double-div`
3×	`expm1-log1p-u` `flip3--` `frac-2neg` `fma-neg` `*-commutative` `flip--` `log1p-expm1-u`
2×	`rec-exp` `1-exp`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

3 → 249

Calls

3 calls:

8.0ms	(- y (* z t))
14.0ms	(/ 1 (/ (- y (* z t)) x))
13.0ms	(/ (- y (* z t)) x)

series207.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- y (* z t))
119.0ms	(/ 1 (/ (- y (* z t)) x))
48.0ms	(/ (- y (* z t)) x)

simplify158.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	759	2223
1	3056	1802
2	5002	1665

prune276.0ms

Filtered

258 candidates to 112 candidates (43.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	253	5	258
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	257	12	269

Merged error: 2.1b

Counts

269 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.5b	(/ x (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t z))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(/ x (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t z))))

series822.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt y)
219.0ms	(cbrt y)
210.0ms	(cbrt y)
170.0ms	(/ x (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t z))))

simplify304.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	132	527
1	344	483
2	1029	454
3	4319	438
4	5001	438

prune188.0ms

Filtered

80 candidates to 68 candidates (85.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	80	12	92

Merged error: 2.1b

Counts

92 → 12

regimes310.0ms

Accuracy

0% (0.5b remaining)

Error of 2.8b against oracle of 2.3b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample411.0ms

Algorithm

intervals

Results

211.0ms

8357×

body

valid