Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

270×

body

valid

simplify12.0ms

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

prune3.0ms

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: 2.7b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b	(/ x (- y (* z t)))

rewrite5.0ms

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:

4.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify121.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (41.0ms)

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

prune92.0ms

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: 2.6b

Counts

35 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ 1 (- y (* z t)))
2.2b	(* x (/ 1 (- y (* z t))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 75

Calls

2 calls:

5.0ms	(/ 1 (- y (* z t)))
10.0ms	(* x (/ 1 (- y (* z t))))

series87.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ 1 (- y (* z t)))
37.0ms	(* x (/ 1 (- y (* z t))))

simplify73.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	244	439
1	1023	381
2	3734	349
3	5001	348

prune120.0ms

Filtered

81 candidates to 46 candidates (56.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	81	6	87

Merged error: 2.6b

Counts

87 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (/ (- y (* z t)) x))
2.7b	(/ (- 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)

series145.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(/ 1 (/ (- y (* z t)) x))
41.0ms	(/ (- y (* z t)) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (38.0ms)

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

prune175.0ms

Filtered

116 candidates to 64 candidates (55.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	115	7	122

Merged error: 2.6b

Counts

122 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (* (- y (* z t)) (/ 1 x)))
2.8b	(* (- y (* z t)) (/ 1 x))

rewrite33.0ms

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:

12.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
10.0ms	(* (- y (* z t)) (/ 1 x))

series152.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
50.0ms	(* (- y (* z t)) (/ 1 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (40.0ms)

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

prune135.0ms

Filtered

94 candidates to 51 candidates (54.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	93	8	101

Merged error: 2.6b

Counts

101 → 8

regimes229.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample445.0ms

Algorithm

intervals

Results

232.0ms

8362×

body

valid