Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

275×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	17	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: 4.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* z t))
4.5b	(/ x (- y (* z t)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

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

series67.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- y (* z t))
38.0ms	(/ x (- y (* z t)))

simplify122.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	157	244
1	479	225
2	1401	225
3	4323	224
4	5001	224

prune98.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Merged error: 4.5b

Counts

48 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.8b	(/ 1 (/ (- y (* z t)) x))
4.4b	(/ (- y (* z t)) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`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`
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 → 118

Calls

3 calls:

3.0ms	(- y (* z t))
7.0ms	(/ 1 (/ (- y (* z t)) x))
6.0ms	(/ (- y (* z t)) x)

series168.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- y (* z t))
96.0ms	(/ 1 (/ (- y (* z t)) x))
44.0ms	(/ (- y (* z t)) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	409	937
1	1775	836
2	5001	759

prune164.0ms

Filtered

127 candidates to 71 candidates (55.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	126	9	135

Merged error: 4.5b

Counts

135 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

4.5b	(/ x (- y (* z t)))
16.7b	(cbrt (/ x (- y (* z t))))
16.7b	(cbrt (/ x (- y (* z t))))
16.7b	(cbrt (/ x (- y (* z t))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 101

Calls

4 calls:

4.0ms	(/ x (- y (* z t)))
3.0ms	(cbrt (/ x (- y (* z t))))
3.0ms	(cbrt (/ x (- y (* z t))))
4.0ms	(cbrt (/ x (- y (* z t))))

series320.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ x (- y (* z t)))
95.0ms	(cbrt (/ x (- y (* z t))))
94.0ms	(cbrt (/ x (- y (* z t))))
98.0ms	(cbrt (/ x (- y (* z t))))

simplify55.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	226	918
1	630	877
2	1872	871
3	5001	856

prune305.0ms

Filtered

113 candidates to 97 candidates (85.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	112	10	122

Merged error: 4.5b

Counts

122 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
2.1b	(/ (cbrt x) (- y (* z t)))
2.7b	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
28×	`cbrt-prod`
24×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r*` `unswap-sqr`
2×	`flip3--` `pow1/3` `flip--` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(/ (cbrt x) (- y (* z t)))
13.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

series556.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt x)
209.0ms	(cbrt x)
111.0ms	(/ (cbrt x) (- y (* z t)))
60.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	380	929
1	1986	793
2	5001	764

prune266.0ms

Filtered

122 candidates to 98 candidates (80.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	5	6
Picked	0	1	1
Done	0	3	3
Total	122	10	132

Merged error: 4.5b

Counts

132 → 10

regimes232.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample457.0ms

Algorithm

intervals

Results

228.0ms

8348×

body

valid