Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

263×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 8.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
1.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite42.0ms

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:

13.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* y z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series263.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
22.0ms	(- (* y z) x)
111.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
51.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	400	1011
1	1421	948
2	5001	947

prune244.0ms

Filtered

110 candidates to 80 candidates (72.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	101	9	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	9	111

Merged error: 2.1b

Counts

111 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.3b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
1.0b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.9b	(/ (- (* t z) x) (- (* y z) x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 173

Calls

4 calls:

4.0ms	(- (* y z) x)
10.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
22.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
12.0ms	(/ (- (* t z) x) (- (* y z) x))

series298.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* y z) x)
79.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
138.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
58.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify77.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	623	2024
1	2865	1860
2	5001	1781

prune296.0ms

Filtered

185 candidates to 105 candidates (56.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	186	8	194

Merged error: 2.1b

Counts

194 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (- (* y z) x))
0.3b	(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
1.0b	(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
10.8b	(* (- (* t z) x) (/ 1 (- (* y z) x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
54×	`add-exp-log`
43×	`times-frac`
40×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
22×	`add-cbrt-cube`
21×	`div-exp`
16×	`prod-exp` `distribute-lft-out`
15×	`associate-r`
12×	`associate-/r/`
11×	`associate-/l*`
10×	`pow1` `rec-exp` `1-exp`
9×	`div-inv`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`flip3--` `flip--`
4×	`frac-times` `associate-*l/` `cbrt-unprod` `add-log-exp`
3×	`pow-flip` `frac-2neg` `associate-l` `clear-num` `unswap-sqr`
2×	`flip3-+` `associate-*r/` `pow-prod-down` `un-div-inv` `flip-+` `associate-/l/` `inv-pow`
1×	`*-commutative`

Counts

4 → 164

Calls

4 calls:

6.0ms	(/ 1 (- (* y z) x))
12.0ms	(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
12.0ms	(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
13.0ms	(* (- (* t z) x) (/ 1 (- (* y z) x)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1 (- (* y z) x))
84.0ms	(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
145.0ms	(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
60.0ms	(* (- (* t z) x) (/ 1 (- (* y z) x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	568	1621
1	2694	1418
2	5002	1379

prune291.0ms

Filtered

176 candidates to 98 candidates (55.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	176	8	184

Merged error: 2.1b

Counts

184 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.1b	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
1.0b	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
10.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
155×	`times-frac`
81×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
29×	`associate-/r*`
19×	`add-exp-log`
13×	`associate-/r/` `add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp`
7×	`div-inv`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`flip3--` `frac-2neg` `clear-num` `flip--`
2×	`rec-exp` `1-exp`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 196

Calls

4 calls:

4.0ms	(- (* y z) x)
18.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
14.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series318.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (* y z) x)
121.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
117.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
58.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify84.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	634	2700
1	2928	2493
2	5001	2372

prune299.0ms

Filtered

208 candidates to 106 candidates (51.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	208	8	216

Merged error: 2.1b

Counts

216 → 8

regimes203.0ms

Accuracy

80.2% (1.3b remaining)

Error of 2.3b against oracle of 1.0b and baseline of 7.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	30
1	40	30

end0.0ms

sample561.0ms

Algorithm

intervals

Results

348.0ms

8334×

body

valid