Details

analyze838.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample42.0ms

Algorithm

intervals

Results

17.0ms	255×	body	80	valid
2.0ms	33×	body	80	invalid
2.0ms	43×	body	80	nan
0.0ms	1×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	278	16
1	278	16

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
2×	`sub-neg` `associate-+l+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

5.0ms	(* (- a 0.5) b)
11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series62.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- a 0.5) b)
40.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4801	1307
1	4801	1307

prune129.0ms

Filtered

72 candidates to 100 candidates (-38.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* (log (cbrt t)) 2))
0.3b	(* z (log (cbrt t)))
0.7b	(cbrt t)
0.7b	(cbrt t)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `cbrt-prod` `log-prod`
11×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* z (* (log (cbrt t)) 2))
5.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series82.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* z (* (log (cbrt t)) 2))
19.0ms	(* z (log (cbrt t)))
21.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4854	520
1	4854	520

prune104.0ms

Filtered

56 candidates to 84 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt t))
0.5b	(cbrt (sqrt t))
0.5b	(* (cbrt (sqrt t)) (cbrt (sqrt t)))
0.7b	(cbrt t)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
43×	`add-sqr-sqrt`
26×	`sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

2.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))
7.0ms	(* (cbrt (sqrt t)) (cbrt (sqrt t)))
1.0ms	(cbrt t)

series69.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt (sqrt t))
15.0ms	(cbrt (sqrt t))
16.0ms	(* (cbrt (sqrt t)) (cbrt (sqrt t)))
23.0ms	(cbrt t)

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4888	683
1	4888	683

prune158.0ms

Filtered

67 candidates to 107 candidates (-59.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0.0b

Counts

111 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(+ (* z (* (log (cbrt t)) 2)) (* z (log (cbrt t))))
0.7b	(cbrt t)
0.7b	(cbrt t)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
7.0ms	(+ (* z (* (log (cbrt t)) 2)) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series86.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* z (log (cbrt t)))
21.0ms	(+ (* z (* (log (cbrt t)) 2)) (* z (log (cbrt t))))
21.0ms	(cbrt t)
24.0ms	(cbrt t)

simplify70.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4825	592
1	4825	592

prune94.0ms

Filtered

62 candidates to 90 candidates (-45.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

regimes912.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

analyze854.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample902.0ms

Algorithm

intervals

Results

448.0ms	7996×	body	80	valid
69.0ms	1176×	body	80	invalid
60.0ms	1202×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze838.0ms

sample42.0ms

simplify5.0ms

prune9.0ms

localize15.0ms

rewrite30.0ms

series62.0ms

simplify43.0ms

prune129.0ms

localize19.0ms

rewrite14.0ms

series82.0ms

simplify50.0ms

prune104.0ms

localize24.0ms

rewrite15.0ms

series69.0ms

simplify52.0ms

prune158.0ms

localize18.0ms

rewrite16.0ms

series86.0ms

simplify70.0ms

prune94.0ms

regimes912.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze854.0ms

sample902.0ms

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