Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

269×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 2.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

2.4b	(/ x (- y (* z t)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

9.0ms

(/ x (- y (* z t)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(/ x (- y (* z t)))

simplify127.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	135	194
1	424	180
2	1338	179
3	4401	178
4	5001	178

prune98.0ms

Filtered

34 candidates to 27 candidates (79.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Merged error: 2.3b

Counts

35 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.9b	(/ 1 (/ (- y (* z t)) x))
2.2b	(/ (- y (* z t)) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 110

Calls

2 calls:

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

series161.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(/ 1 (/ (- y (* z t)) x))
45.0ms	(/ (- y (* z t)) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	379	897
1	1683	799
2	5001	724

prune224.0ms

Filtered

116 candidates to 63 candidates (54.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	114	8	122

Merged error: 2.3b

Counts

122 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.9b	(/ 1 (* (- y (* z t)) (/ 1 x)))
2.4b	(* (- y (* z t)) (/ 1 x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 88

Calls

2 calls:

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

series165.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
51.0ms	(* (- y (* z t)) (/ 1 x))

simplify52.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	370	561
1	1728	442
2	5001	416

prune193.0ms

Filtered

94 candidates to 52 candidates (55.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	94	8	102

Merged error: 2.3b

Counts

102 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.9b	(* (* (cbrt x) (cbrt x)) (/ 1 (/ (- y (* z t)) (cbrt x))))
1.1b	(/ 1 (/ (- y (* z t)) (cbrt x)))
1.6b	(/ (- y (* z t)) (cbrt x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

286×	`times-frac`
186×	`add-sqr-sqrt`
167×	`*-un-lft-identity`
164×	`add-cube-cbrt`
93×	`cbrt-prod`
77×	`associate-r`
64×	`add-exp-log`
28×	`associate-/r*`
22×	`div-exp` `prod-exp` `add-cbrt-cube`
17×	`pow1`
11×	`unswap-sqr`
10×	`cbrt-undiv` `cbrt-unprod` `div-inv`
7×	`associate-l`
6×	`rec-exp` `pow1/3` `1-exp` `swap-sqr` `associate-/l*`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`
1×	`pow2` `flip3--` `pow-flip` `pow-plus` `div-sub` `associate-*r/` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 313

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
30.0ms	(* (* (cbrt x) (cbrt x)) (/ 1 (/ (- y (* z t)) (cbrt x))))
9.0ms	(/ 1 (/ (- y (* z t)) (cbrt x)))
7.0ms	(/ (- y (* z t)) (cbrt x))

series658.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt x) (cbrt x))
63.0ms	(* (* (cbrt x) (cbrt x)) (/ 1 (/ (- y (* z t)) (cbrt x))))
169.0ms	(/ 1 (/ (- y (* z t)) (cbrt x)))
193.0ms	(/ (- y (* z t)) (cbrt x))

simplify64.0ms

Algorithm

egg-herbie

Counts

325 → 325

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1081	3193
1	5001	2866

prune1.2s

Filtered

325 candidates to 240 candidates (73.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	324	1	325
Fresh	1	3	4
Picked	0	1	1
Done	1	2	3
Total	326	7	333

Merged error: 2.3b

Counts

333 → 7

regimes207.0ms

Accuracy

0% (0.1b remaining)

Error of 2.6b against oracle of 2.5b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample440.0ms

Algorithm

intervals

Results

220.0ms

8386×

body

valid