Details

sample62.0ms

Algorithm

intervals

Results

25.0ms

426×

body

valid

simplify531.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	38	21
2	111	21
3	303	21
4	1193	21
done	5000	21

prune5.0ms

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

localize15.0ms

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)

rewrite43.0ms

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:

8.0ms	(* (- y 1.0) z)
14.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
10.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(* (- t 1.0) a)

series74.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- y 1.0) z)
54.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
7.0ms	(* (- (+ y t) 2.0) b)
8.0ms	(* (- t 1.0) a)

simplify1.0s

Counts

109 → 109

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	266	2710
1	893	2505
2	4145	2408
done	5000	2403

prune188.0ms

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))

rewrite45.0ms

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:

14.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
12.0ms	(cbrt (* (- (+ y t) 2.0) b))
8.0ms	(cbrt (* (- (+ y t) 2.0) b))
8.0ms	(cbrt (* (- (+ y t) 2.0) b))

series150.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
35.0ms	(cbrt (* (- (+ y t) 2.0) b))
32.0ms	(cbrt (* (- (+ y t) 2.0) b))
32.0ms	(cbrt (* (- (+ y t) 2.0) b))

simplify851.0ms

Counts

84 → 84

Iterations

Useful iterations: done (848.0ms)

Iter	Nodes	Cost
0	163	1936
1	381	1776
2	1040	1602
3	3294	1333
done	5000	1309

prune231.0ms

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

localize23.0ms

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))

rewrite49.0ms

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:

18.0ms	(+ (- (- 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)
11.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series116.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))) (* (- (+ y t) 2.0) b))
7.0ms	(* (- (+ 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))

simplify968.0ms

Counts

109 → 109

Iterations

Useful iterations: done (963.0ms)

Iter	Nodes	Cost
0	253	2935
1	844	2742
2	3948	2555
done	5000	2544

prune198.0ms

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

localize19.0ms

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)))

rewrite37.0ms

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)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- y 1.0) z)
8.0ms	(* (- (+ y t) 2.0) b)
5.0ms	(* (- t 1.0) a)
8.0ms	(exp (log (* (- (+ y t) 2.0) b)))

simplify434.0ms

Counts

95 → 95

Iterations

Useful iterations: done (431.0ms)

Iter	Nodes	Cost
0	166	881
1	358	826
2	1226	720
done	5002	715

prune143.0ms

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

regimes547.0ms

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

sample1.7s

Algorithm

intervals

Results

783.0ms	12634×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample62.0ms

simplify531.0ms

prune5.0ms

localize15.0ms

rewrite43.0ms

series74.0ms

simplify1.0s

prune188.0ms

localize19.0ms

rewrite45.0ms

series150.0ms

simplify851.0ms

prune231.0ms

localize23.0ms

rewrite49.0ms

series116.0ms

simplify968.0ms

prune198.0ms

localize19.0ms

rewrite37.0ms

series26.0ms

simplify434.0ms

prune143.0ms

regimes547.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

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