Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

268×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune4.0ms

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: 5.4b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (* y z) x)
15.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series80.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* y z) x)
24.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
33.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
16.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	400	1011
1	1421	948
2	5002	947

prune152.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	103	7	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	7	111

Merged error: 1.0b

Counts

111 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
0.3b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.4b	(/ 1 (- (* t z) x))
8.8b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`flip3--` `prod-exp` `flip--` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 121

Calls

4 calls:

3.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
7.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ 1 (- (* t z) x))
12.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
34.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
6.0ms	(/ 1 (- (* t z) x))
16.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	469	1201
1	2114	1075
2	5002	1044

prune147.0ms

Filtered

88 candidates to 133 candidates (-51.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	133	7	140

Merged error: 1.0b

Counts

140 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
8.9b	(/ (- (* y z) x) (- (* t z) x))
8.9b	(/ (- (* y z) x) (- (* t z) x))
8.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
43×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/` `distribute-lft-out`
6×	`flip3--` `flip--` `associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`cbrt-div` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 127

Calls

4 calls:

13.0ms	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
8.0ms	(/ (- (* y z) x) (- (* t z) x))
8.0ms	(/ (- (* y z) x) (- (* t z) x))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series122.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
16.0ms	(/ (- (* y z) x) (- (* t z) x))
16.0ms	(/ (- (* y z) x) (- (* t z) x))
18.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	343	1418
1	1130	1327
2	5001	1316

prune260.0ms

Filtered

110 candidates to 139 candidates (-26.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	139	7	146

Merged error: 1.0b

Counts

146 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.9b	(/ (- (* y z) x) (- (* t z) x))
12.2b	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

144×	`*-un-lft-identity`
89×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
50×	`cbrt-prod`
44×	`unpow-prod-down` `cube-prod`
42×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r` `associate-/l`
6×	`flip3-+` `flip-+` `div-inv`
5×	`pow1`
4×	`associate-/l/` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `div-sub` `div-exp`
2×	`cube-div` `cube-mult` `flip3--` `frac-2neg` `unpow3` `pow-exp` `clear-num` `flip--` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `associate-+r-` `cbrt-div` `pow-pow` `pow1/3` `rem-cbrt-cube`

Counts

4 → 197

Calls

4 calls:

15.0ms	(pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))
16.0ms	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3))

series283.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3)
34.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
16.0ms	(/ (- (* y z) x) (- (* t z) x))
33.0ms	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3))

simplify97.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	646	2708
1	2896	2555
2	5001	2541

prune184.0ms

Filtered

105 candidates to 209 candidates (-99.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	209	7	216

Merged error: 1.0b

Counts

216 → 7

regimes415.0ms

Accuracy

62.5% (2.5b remaining)

Error of 3.4b against oracle of 0.9b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	21
1	33	21

end0.0ms

sample739.0ms

Algorithm

intervals

Results

380.0ms

8331×

body

valid

Details

sample28.0ms

simplify45.0ms

prune4.0ms

localize11.0ms

rewrite44.0ms

series80.0ms

simplify45.0ms

prune152.0ms

localize12.0ms

rewrite31.0ms

series80.0ms

simplify57.0ms

prune147.0ms

localize16.0ms

rewrite42.0ms

series122.0ms

simplify43.0ms

prune260.0ms

localize14.0ms

rewrite65.0ms

series283.0ms

simplify97.0ms

prune184.0ms

regimes415.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample739.0ms

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