Details

sample64.0ms

Algorithm

intervals

Results

29.0ms

426×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	38	21
2	111	21
3	302	21
4	1187	21
done	5000	21

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: 0.0b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- (+ y t) 2.0) b)
0.0b	(* (- t 1.0) a)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
22×	`add-sqr-sqrt`
19×	`flip3--` `*-un-lft-identity` `flip--`
16×	`associate-l`
13×	`add-log-exp`
12×	`frac-add`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
8×	`frac-sub`
4×	`associate-+l+` `distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* (- y 1.0) z)
17.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
9.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(* (- t 1.0) a)

series69.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- y 1.0) z)
52.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
8.0ms	(* (- (+ y t) 2.0) b)
5.0ms	(* (- t 1.0) a)

simplify1.1s

Counts

109 → 109

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	266	2710
1	887	2499
2	3935	2403
done	5001	2401

prune185.0ms

Filtered

75 candidates to 109 candidates (-45.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Merged error: 0b

Counts

110 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
0.5b	(cbrt (* (- (+ y t) 2.0) b))
0.5b	(cbrt (* (- (+ y t) 2.0) b))
0.5b	(cbrt (* (- (+ y t) 2.0) b))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

13.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
8.0ms	(cbrt (* (- (+ y t) 2.0) b))
8.0ms	(cbrt (* (- (+ y t) 2.0) b))
8.0ms	(cbrt (* (- (+ y t) 2.0) b))

series145.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
31.0ms	(cbrt (* (- (+ y t) 2.0) b))
30.0ms	(cbrt (* (- (+ y t) 2.0) b))
34.0ms	(cbrt (* (- (+ y t) 2.0) b))

simplify1.1s

Counts

84 → 84

Iterations

Useful iterations: 3 (520.0ms)

Iter	Nodes	Cost
0	163	1936
1	377	1769
2	979	1602
3	3169	1309
done	5001	1309

prune224.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))) (* (- (+ y t) 2.0) b))
0.0b	(* (- (+ y t) 2.0) b)
4.3b	(* (- (* t t) (* 1.0 1.0)) a)
5.7b	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
11×	`flip3--` `flip--`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `frac-add`
6×	`associate-r`
4×	`associate-+l+` `times-frac` `associate-/r*` `frac-sub`
3×	`diff-log` `prod-exp` `sum-log` `cbrt-unprod` `distribute-lft-out`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `div-exp` `pow-prod-down` `associate--l+` `associate-/r/` `*-commutative` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

20.0ms	(+ (- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))) (* (- (+ y t) 2.0) b))
10.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(* (- (* t t) (* 1.0 1.0)) a)
10.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series110.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))) (* (- (+ y t) 2.0) b))
8.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(* (- (* t t) (* 1.0 1.0)) a)
9.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify1.0s

Counts

109 → 109

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	253	2935
1	836	2734
2	3706	2546
done	5000	2544

prune183.0ms

Filtered

77 candidates to 109 candidates (-41.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	109	4	113

Merged error: 0b

Counts

113 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(* (- (+ y t) 2.0) b)
0.0b	(* (- t 1.0) a)
2.7b	(exp (log (* (- (+ y t) 2.0) b)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`associate-l`
13×	`pow1`
11×	`add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r`
8×	`associate-*l/`
5×	`exp-prod`
4×	`flip3--` `pow-prod-down` `flip--` `distribute-lft-out--` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`log-div` `exp-diff` `log-pow`
1×	`log-prod` `exp-sum` `rem-exp-log` `distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

7.0ms	(* (- y 1.0) z)
10.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(* (- t 1.0) a)
9.0ms	(exp (log (* (- (+ y t) 2.0) b)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y 1.0) z)
7.0ms	(* (- (+ y t) 2.0) b)
8.0ms	(* (- t 1.0) a)
7.0ms	(exp (log (* (- (+ y t) 2.0) b)))

simplify2.0s

Counts

95 → 95

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	166	881
1	351	823
2	1121	717
3	4472	715
done	5000	715

prune139.0ms

Filtered

62 candidates to 95 candidates (-53.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	95	4	99

Merged error: 0b

Counts

99 → 4

regimes650.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	23	21
done	23	21

end0.0ms

sample1.6s

Algorithm

intervals

Results

769.0ms	12634×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample64.0ms

simplify1.3s

prune4.0ms

localize16.0ms

rewrite44.0ms

series69.0ms

simplify1.1s

prune185.0ms

localize19.0ms

rewrite39.0ms

series145.0ms

simplify1.1s

prune224.0ms

localize20.0ms

rewrite51.0ms

series110.0ms

simplify1.0s

prune183.0ms

localize18.0ms

rewrite35.0ms

series27.0ms

simplify2.0s

prune139.0ms

regimes650.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

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