Details

analyze612.0ms

Algorithm: search

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	4
1	44	4
2	82	4
3	132	4
4	175	4
5	208	4
6	221	4
7	221	4

prune11.0ms

Filtered

1 candidates to 1 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: 4.2b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
4.2b	(/ x (/ (* z (- y t)) 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
4×	`pow1`
3×	`associate-l` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

6.0ms	(* z (- y t))
7.0ms	(/ x (/ (* z (- y t)) 2.0))

series22.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(* z (- y t))
12.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	353	467
1	1535	417
2	5002	414

prune107.0ms

Filtered

57 candidates to 80 candidates (-40.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
5.1b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

243×	`times-frac`
184×	`add-sqr-sqrt`
157×	`*-un-lft-identity`
112×	`add-cube-cbrt`
62×	`associate-r`
46×	`add-exp-log`
28×	`add-cbrt-cube`
21×	`div-exp` `distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
13×	`associate-l`
12×	`cbrt-undiv` `prod-exp`
10×	`div-inv`
9×	`unswap-sqr`
6×	`cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `1-exp` `associate-/l*`
2×	`associate-/r/` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 208

Calls

2 calls:

8.0ms	(/ x (/ (- y t) 2.0))
28.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ x (/ (- y t) 2.0))
13.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify101.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	915	1676
1	4280	1508
2	5001	1501

prune221.0ms

Filtered

150 candidates to 214 candidates (-42.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	213	6	219

Merged error: 0b

Counts

219 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
5.1b	(/ (/ x (/ (- y t) 2.0)) z)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

711×	`times-frac`
405×	`add-sqr-sqrt` `*-un-lft-identity`
309×	`add-cube-cbrt`
65×	`associate-/l*`
48×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*` `div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 362

Calls

2 calls:

8.0ms	(/ x (/ (- y t) 2.0))
17.0ms	(/ (/ x (/ (- y t) 2.0)) z)

series22.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ x (/ (- y t) 2.0))
15.0ms	(/ (/ x (/ (- y t) 2.0)) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

368 → 368

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1359	3858
1	5002	3741

prune409.0ms

Filtered

283 candidates to 368 candidates (-30.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	366	2	368
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	369	5	374

Merged error: 0b

Counts

374 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

1.6b	(- (* y z) (* t z))
4.2b	(/ (* x 2.0) (- (* y z) (* t z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

3.0ms	(- (* y z) (* t z))
6.0ms	(/ (* x 2.0) (- (* y z) (* t z)))

series23.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(- (* y z) (* t z))
16.0ms	(/ (* x 2.0) (- (* y z) (* t z)))

simplify30.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	210	265
1	954	219
2	5001	213

prune37.0ms

Filtered

32 candidates to 44 candidates (-37.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Merged error: 0b

Counts

49 → 5

regimes471.0ms

Accuracy

74.3% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 5.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

analyze602.0ms

Algorithm: search

sample515.0ms

Algorithm

intervals

Results

283.0ms	8000×	body	80	valid
26.0ms	663×	body	80	invalid

Details

analyze612.0ms

sample20.0ms

simplify18.0ms

prune11.0ms

localize7.0ms

rewrite16.0ms

series22.0ms

simplify45.0ms

prune107.0ms

localize8.0ms

rewrite51.0ms

series20.0ms

simplify101.0ms

prune221.0ms

localize6.0ms

rewrite53.0ms

series22.0ms

simplify74.0ms

prune409.0ms

localize7.0ms

rewrite10.0ms

series23.0ms

simplify30.0ms

prune37.0ms

regimes471.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze602.0ms

sample515.0ms

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