Details

sample47.0ms

Algorithm

intervals

Results

9.0ms	234×	body	80	valid
2.0ms	13×	body	1280	valid
1.0ms	10×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	13×	body	160	valid

simplify69.0ms

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

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: 14.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
4.4b	(+ x (* (- y z) (/ (- t x) (- a z))))
6.4b	(* (- y z) (/ (- t x) (- a z)))

rewrite31.0ms

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

series100.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (- t x) (- a z))
50.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
38.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (11.0ms)

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

prune184.0ms

Filtered

88 candidates to 128 candidates (-45.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	115	13	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	14	129

Merged error: 2.9b

Counts

129 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- t x))
0.6b	(cbrt (- t x))
0.6b	(cbrt (- t x))
9.0b	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 56

Calls

4 calls:

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

series131.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- t x))
25.0ms	(cbrt (- t x))
25.0ms	(cbrt (- t x))
53.0ms	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify31.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	260	701
1	807	613
2	5002	579

prune134.0ms

Filtered

57 candidates to 68 candidates (-19.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	68	14	82

Merged error: 2.8b

Counts

82 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

6.4b	(* (- y z) (/ (- t x) (- a z)))
6.4b	(* (- y z) (/ (- t x) (- a z)))
6.4b	(* (- y z) (/ (- t x) (- a z)))
8.1b	(+ x (* (* (cbrt (* (- y z) (/ (- t x) (- a z)))) (cbrt (* (- y z) (/ (- t x) (- a z))))) (cbrt (* (- y z) (/ (- t x) (- a z))))))

rewrite61.0ms

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:

17.0ms	(* (- y z) (/ (- t x) (- a z)))
18.0ms	(* (- y z) (/ (- t x) (- a z)))
16.0ms	(* (- y z) (/ (- t x) (- a z)))
2.0ms	(+ x (* (* (cbrt (* (- y z) (/ (- t x) (- a z)))) (cbrt (* (- y z) (/ (- t x) (- a z))))) (cbrt (* (- y z) (/ (- t x) (- a z))))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- y z) (/ (- t x) (- a z)))
38.0ms	(* (- y z) (/ (- t x) (- a z)))
36.0ms	(* (- y z) (/ (- t x) (- a z)))
56.0ms	(+ x (* (* (cbrt (* (- y z) (/ (- t x) (- a z)))) (cbrt (* (- y z) (/ (- t x) (- a z))))) (cbrt (* (- y z) (/ (- t x) (- a z))))))

simplify59.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (40.0ms)

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

prune208.0ms

Filtered

128 candidates to 191 candidates (-49.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	190	15	205

Merged error: 2.8b

Counts

205 → 15

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
2.2b	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
4.3b	(* (cbrt (- y z)) (/ (- t x) (- a z)))
8.3b	(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

rewrite62.0ms

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))
23.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
18.0ms	(* (cbrt (- y z)) (/ (- t x) (- a z)))
3.0ms	(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- y z))
36.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
136.0ms	(* (cbrt (- y z)) (/ (- t x) (- a z)))
51.0ms	(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

simplify97.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	903	2528
1	3344	2278
2	5001	2233

prune145.0ms

Filtered

102 candidates to 178 candidates (-74.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	1	10	11
Picked	0	1	1
Done	1	2	3
Total	179	14	193

Merged error: 2.8b

Counts

193 → 14

regimes799.0ms

Accuracy

30.9% (8.0b remaining)

Error of 11.5b against oracle of 3.4b and baseline of 15.0b

bsearch63.0ms

Steps

Iters	Range		Point
10	1.4775817241464269e+144	3.135577897946779e+162	1.1198642868466621e+152
10	-3.132604716338526e+210	-3.0651426614895675e+199	-9.940164709610679e+202

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	11
1	29	11

end0.0ms

sample906.0ms

Algorithm

intervals

Results

311.0ms	7759×	body	80	valid
74.0ms	518×	body	640	valid
47.0ms	418×	body	320	valid
46.0ms	254×	body	1280	valid
24.0ms	290×	body	160	valid
4.0ms	17×	body	2560	valid

Details

sample47.0ms

simplify69.0ms

prune4.0ms

localize9.0ms

rewrite31.0ms

series100.0ms

simplify52.0ms

prune184.0ms

localize16.0ms

rewrite13.0ms

series131.0ms

simplify31.0ms

prune134.0ms

localize13.0ms

rewrite61.0ms

series167.0ms

simplify59.0ms

prune208.0ms

localize13.0ms

rewrite62.0ms

series250.0ms

simplify97.0ms

prune145.0ms

regimes799.0ms

bsearch63.0ms

simplify1.0ms

end0.0ms

sample906.0ms

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