Details

sample32.0ms

Algorithm

intervals

Results

10.0ms

274×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	6

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 1.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
7.5b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

32.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms	(/ (+ (- t z) 1.0) a)
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series70.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
7.0ms	(/ (+ (- t z) 1.0) a)
29.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify72.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	707	1950
1	2629	1888
2	5001	1887

prune231.0ms

Filtered

201 candidates to 119 candidates (40.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	195	6	201
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	6	202

Merged error: 0b

Counts

202 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.3b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

2.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
9.0ms	(/ (- y z) (+ (- t z) 1.0))
15.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series119.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
19.0ms	(/ (- y z) (+ (- t z) 1.0))
42.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify60.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	436	882
1	1450	824
2	5001	823

prune126.0ms

Filtered

123 candidates to 77 candidates (37.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	123	6	129

Merged error: 0b

Counts

129 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b	(/ a (+ (- t z) 1.0))
7.1b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `difference-of-squares`

Counts

3 → 95

Calls

3 calls:

3.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
7.0ms	(/ a (+ (- t z) 1.0))
17.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series56.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
8.0ms	(/ a (+ (- t z) 1.0))
18.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	408	686
1	1779	630
2	5002	630

prune137.0ms

Filtered

104 candidates to 71 candidates (31.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	104	6	110

Merged error: 0b

Counts

110 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (/ 1 (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a)))) (/ (- y z) (cbrt (/ (+ (- t z) 1.0) a))))
11.5b	(cbrt (/ (+ (- t z) 1.0) a))
11.5b	(cbrt (/ (+ (- t z) 1.0) a))
11.5b	(cbrt (/ (+ (- t z) 1.0) a))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

274×	`*-un-lft-identity`
253×	`times-frac`
182×	`add-sqr-sqrt`
158×	`cbrt-prod`
115×	`associate-r`
106×	`add-cube-cbrt`
49×	`add-exp-log`
48×	`distribute-lft-out`
46×	`distribute-lft-out--`
22×	`difference-of-squares`
20×	`prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp`
12×	`unswap-sqr`
10×	`associate-l` `div-inv`
8×	`cbrt-div` `cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1`
4×	`rec-exp` `1-exp` `associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 253

Calls

4 calls:

60.0ms	(* (/ 1 (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a)))) (/ (- y z) (cbrt (/ (+ (- t z) 1.0) a))))
6.0ms	(cbrt (/ (+ (- t z) 1.0) a))
6.0ms	(cbrt (/ (+ (- t z) 1.0) a))
6.0ms	(cbrt (/ (+ (- t z) 1.0) a))

series139.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (/ 1 (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a)))) (/ (- y z) (cbrt (/ (+ (- t z) 1.0) a))))
37.0ms	(cbrt (/ (+ (- t z) 1.0) a))
35.0ms	(cbrt (/ (+ (- t z) 1.0) a))
38.0ms	(cbrt (/ (+ (- t z) 1.0) a))

simplify127.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	1007	4365
1	4831	4010
2	5002	3926

prune532.0ms

Filtered

265 candidates to 169 candidates (36.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	265	6	271

Merged error: 0b

Counts

271 → 6

regimes468.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample763.0ms

Algorithm

intervals

Results

333.0ms	8449×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

sample32.0ms

simplify73.0ms

prune5.0ms

localize9.0ms

rewrite64.0ms

series70.0ms

simplify72.0ms

prune231.0ms

localize12.0ms

rewrite31.0ms

series119.0ms

simplify60.0ms

prune126.0ms

localize10.0ms

rewrite30.0ms

series56.0ms

simplify49.0ms

prune137.0ms

localize14.0ms

rewrite95.0ms

series139.0ms

simplify127.0ms

prune532.0ms

regimes468.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample763.0ms

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