Details

analyze944.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	25×	body	80	invalid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4786	11
1	4786	11

prune12.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
11.3b	(* (- y z) (/ t (- a z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

3.0ms	(+ x (* (- y z) (/ t (- a z))))
5.0ms	(/ t (- a z))
16.0ms	(* (- y z) (/ t (- a z)))

series47.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* (- y z) (/ t (- a z))))
7.0ms	(/ t (- a z))
15.0ms	(* (- y z) (/ t (- a z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4978	1059
1	4978	1059

prune134.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	95	10	105

Merged error: 0b

Counts

105 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
3.6b	(* (/ t (- a z)) (cbrt (- y z)))
7.9b	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ t (- a z)) (cbrt (- y z))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

126×	`cbrt-div`
88×	`frac-times`
64×	`flip3--` `flip--`
60×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
40×	`cbrt-prod`
39×	`associate-*r/`
32×	`add-exp-log` `associate-*l/`
30×	`associate-l`
25×	`pow1`
24×	`add-cube-cbrt`
18×	`add-cbrt-cube`
17×	`times-frac` `associate-r`
16×	`prod-exp` `cbrt-unprod`
11×	`pow-prod-down` `distribute-lft-out--`
10×	`swap-sqr`
9×	`difference-of-squares`
8×	`unswap-sqr`
7×	`pow1/3`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`associate-/r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 201

Calls

4 calls:

3.0ms	(cbrt (- y z))
12.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
12.0ms	(* (/ t (- a z)) (cbrt (- y z)))
21.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ t (- a z)) (cbrt (- y z))))

series114.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- y z))
29.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
45.0ms	(* (/ t (- a z)) (cbrt (- y z)))
15.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ t (- a z)) (cbrt (- y z))))

simplify63.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4977	3748
1	4977	3748

prune207.0ms

Filtered

126 candidates to 213 candidates (-69.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	213	10	223

Merged error: 0b

Counts

223 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt t)
0.7b	(cbrt t)
0.7b	(cbrt t)
10.8b	(* (* (- y z) (* (cbrt t) (cbrt t))) (/ (cbrt t) (- a z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
30×	`times-frac`
25×	`add-exp-log`
24×	`cbrt-prod` `add-cube-cbrt`
18×	`add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`cbrt-undiv` `flip3--` `pow1/3` `div-exp` `flip--`
2×	`frac-times` `associate-/r/`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
20.0ms	(* (* (- y z) (* (cbrt t) (cbrt t))) (/ (cbrt t) (- a z)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
21.0ms	(cbrt t)
21.0ms	(cbrt t)
20.0ms	(* (* (- y z) (* (cbrt t) (cbrt t))) (/ (cbrt t) (- a z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5002	1061

prune104.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	110	10	120

Merged error: 0b

Counts

120 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
12.9b	(/ (* (- y z) t) (- a z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

7.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
10.0ms	(/ (* (- y z) t) (- a z))

series47.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
15.0ms	(/ (* (- y z) t) (- a z))

simplify39.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5590	683

prune69.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	3	3	6
Picked	0	1	1
Done	1	2	3
Total	75	7	82

Merged error: 0b

Counts

82 → 7

regimes603.0ms

Accuracy

85% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	57
1	39	57

end0.0ms

sample603.0ms

Algorithm

intervals

Results

298.0ms	7998×	body	80	valid
28.0ms	755×	body	80	invalid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze944.0ms

sample24.0ms

simplify121.0ms

prune12.0ms

localize8.0ms

rewrite28.0ms

series47.0ms

simplify61.0ms

prune134.0ms

localize12.0ms

rewrite59.0ms

series114.0ms

simplify63.0ms

prune207.0ms

localize12.0ms

rewrite27.0ms

series85.0ms

simplify55.0ms

prune104.0ms

localize8.0ms

rewrite25.0ms

series47.0ms

simplify39.0ms

prune69.0ms

regimes603.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample603.0ms

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