Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune4.0ms

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: 13.6b

Counts

2 → 1

localize18.0ms

Local error

Found 2 expressions with local error:

1.8b	(- (* (* z 2.0) z) (* y t))
22.5b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

7.0ms	(- (* (* z 2.0) z) (* y t))
20.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series235.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* (* z 2.0) z) (* y t))
197.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify43.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	265	383
1	1370	314
2	5002	313

prune102.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 5.0b

Counts

44 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

1.8b	(- (* (* z 2.0) z) (* y t))
4.1b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
21.0b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`pow1`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `associate-/r/`

Counts

3 → 88

Calls

3 calls:

5.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series279.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* (* z 2.0) z) (* y t))
183.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
56.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	419	924
1	2101	814
2	5001	809

prune209.0ms

Filtered

97 candidates to 72 candidates (74.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	97	4	101

Merged error: 3.0b

Counts

101 → 4

localize14.0ms

Local error

Found 2 expressions with local error:

4.1b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
7.1b	(/ (* t y) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

8.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
4.0ms	(/ (* t y) z)

series187.0ms

Counts

2 → 6

Calls

2 calls:

168.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
18.0ms	(/ (* t y) z)

simplify32.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	259	302
1	1258	253
2	5002	253

prune90.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0.5b

Counts

54 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(* (cbrt z) (cbrt z))
3.9b	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.1b	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
32×	`add-exp-log`
31×	`times-frac`
30×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
28×	`associate-r`
23×	`add-cbrt-cube`
13×	`pow1` `associate-l`
10×	`prod-exp` `cbrt-unprod` `unswap-sqr`
9×	`cbrt-undiv` `div-exp`
7×	`pow1/3`
6×	`swap-sqr`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r*` `div-inv`
2×	`associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-times` `flip3--` `frac-2neg` `pow-plus` `associate-r/` `associate-l/` `clear-num` `flip--` `associate-/l*`

Counts

4 → 133

Calls

4 calls:

1.0ms	(cbrt z)
6.0ms	(* (cbrt z) (cbrt z))
15.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
6.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

series620.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt z)
195.0ms	(* (cbrt z) (cbrt z))
45.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
206.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

simplify97.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	632	1190
1	3683	972
2	5001	927

prune332.0ms

Filtered

145 candidates to 103 candidates (71.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	145	3	148

Merged error: 0.5b

Counts

148 → 3

regimes71.0ms

Accuracy

0% (0.5b remaining)

Error of 1.7b against oracle of 1.1b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	12
1	18	12

end0.0ms

sample741.0ms

Algorithm

intervals

Results

359.0ms

8000×

body

valid