Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	250×	body	80	valid
5.0ms	17×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	9×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	44	6
2	122	6
3	327	6
4	868	6
5	1727	6
6	3544	6
7	5001	6

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: 13.6b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.6b	(* (- y z) (/ (- t x) (- a z)))
4.0b	(+ x (* (- y z) (/ (- t x) (- a z))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

7.0ms	(/ (- t x) (- a z))
16.0ms	(* (- y z) (/ (- t x) (- a z)))
4.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))

series312.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- t x) (- a z))
119.0ms	(* (- y z) (/ (- t x) (- a z)))
144.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	473	869
1	2012	820
2	5002	820

prune288.0ms

Filtered

128 candidates to 88 candidates (68.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	118	10	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	11	129

Merged error: 5.0b

Counts

129 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
1.8b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
8.2b	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
52×	`times-frac`
46×	`associate-r`
37×	`cbrt-prod`
27×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`flip3--` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `add-log-exp` `unswap-sqr`
5×	`frac-times`
3×	`associate-r/` `associate-l/`
2×	`pow1/3` `div-inv`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 134

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
37.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series711.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (- a z))
140.0ms	(cbrt (- a z))
282.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
149.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	744	1831
1	3287	1663
2	5001	1576

prune369.0ms

Filtered

146 candidates to 104 candidates (71.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	145	12	157

Merged error: 5.0b

Counts

157 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
1.9b	(* (cbrt (- y z)) (/ (- t x) (- a z)))
2.0b	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
8.2b	(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

114×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
52×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
40×	`associate-*l/`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac` `associate-*r/`
18×	`pow1` `add-cube-cbrt` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-prod` `distribute-lft-out--` `difference-of-squares`
9×	`associate-l` `pow-prod-down`
6×	`add-log-exp`
4×	`unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `flip-+` `div-inv`

Counts

4 → 166

Calls

4 calls:

3.0ms	(cbrt (- y z))
18.0ms	(* (cbrt (- y z)) (/ (- t x) (- a z)))
26.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
3.0ms	(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (- y z))
587.0ms	(* (cbrt (- y z)) (/ (- t x) (- a z)))
121.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
146.0ms	(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

simplify90.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	895	2524
1	3311	2274
2	5002	2231

prune370.0ms

Filtered

178 candidates to 102 candidates (57.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	178	12	190

Merged error: 5.0b

Counts

190 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (- y z) (/ (- t x) (- a z)))
3.6b	(* (- y z) (/ (- t x) (- a z)))
3.6b	(* (- y z) (/ (- t x) (- a z)))
7.7b	(+ x (* (* (cbrt (* (- y z) (/ (- t x) (- a z)))) (cbrt (* (- y z) (/ (- t x) (- a z))))) (cbrt (* (- y z) (/ (- t x) (- a z))))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

121×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
93×	`associate-r`
78×	`times-frac`
40×	`add-cube-cbrt`
33×	`distribute-lft-out--` `difference-of-squares`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
9×	`flip3--` `flip--`
6×	`frac-times` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 179

Calls

4 calls:

16.0ms	(* (- y z) (/ (- t x) (- a z)))
20.0ms	(* (- y z) (/ (- t x) (- a z)))
16.0ms	(* (- y z) (/ (- t x) (- a z)))
3.0ms	(+ x (* (* (cbrt (* (- y z) (/ (- t x) (- a z)))) (cbrt (* (- y z) (/ (- t x) (- a z))))) (cbrt (* (- y z) (/ (- t x) (- a z))))))

series530.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (- y z) (/ (- t x) (- a z)))
128.0ms	(* (- y z) (/ (- t x) (- a z)))
126.0ms	(* (- y z) (/ (- t x) (- a z)))
153.0ms	(+ x (* (* (cbrt (* (- y z) (/ (- t x) (- a z)))) (cbrt (* (- y z) (/ (- t x) (- a z))))) (cbrt (* (- y z) (/ (- t x) (- a z))))))

simplify55.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	388	1573
1	1711	1397
2	5001	1369

prune469.0ms

Filtered

191 candidates to 128 candidates (67.0%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	189	14	203

Merged error: 5.0b

Counts

203 → 14

regimes382.0ms

Accuracy

51.2% (4.0b remaining)

Error of 8.1b against oracle of 4.1b and baseline of 12.4b

bsearch3.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	31
1	39	31

end0.0ms

sample782.0ms

Algorithm

intervals

Results

314.0ms	7807×	body	80	valid
70.0ms	466×	body	640	valid
54.0ms	281×	body	1280	valid
42.0ms	381×	body	320	valid
20.0ms	266×	body	160	valid
4.0ms	19×	body	2560	valid

Details

sample30.0ms

simplify73.0ms

prune2.0ms

localize9.0ms

rewrite32.0ms

series312.0ms

simplify53.0ms

prune288.0ms

localize13.0ms

rewrite53.0ms

series711.0ms

simplify88.0ms

prune369.0ms

localize12.0ms

rewrite60.0ms

series1.0s

simplify90.0ms

prune370.0ms

localize13.0ms

rewrite64.0ms

series530.0ms

simplify55.0ms

prune469.0ms

regimes382.0ms

bsearch3.0ms

simplify1.0ms

end0.0ms

sample782.0ms

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