Details

sample51.0ms

Algorithm

intervals

Results

21.0ms

502×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1451
4	445
3	160
2	50
1	19
0	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
3.8b	(* (* y 4.0) (- (* z z) t))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `sub-neg`
4×	`distribute-rgt-in` `-un-lft-identity` `distribute-lft-in` `associate-r*` `add-cube-cbrt` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

12.0ms	(- (* z z) t)
14.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
46.0ms	(* (* y 4.0) (- (* z z) t))

series227.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (* z z) t)
114.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
87.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1873
1	327
0	103

prune321.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* y (* 4.0 (- (* z z) t))))
3.8b	(* y (* 4.0 (- (* z z) t)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

16×	`distribute-rgt-in` `distribute-lft-in`
10×	`sub-neg`
8×	`pow1` `add-cbrt-cube` `add-exp-log` `associate--r+`
7×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
2×	`diff-log`
1×	`associate-r` `*-commutative` `difference-of-squares`

Counts

3 → 61

Calls

3 calls:

10.0ms	(- (* z z) t)
19.0ms	(- (* x x) (* y (* 4.0 (- (* z z) t))))
46.0ms	(* y (* 4.0 (- (* z z) t)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (* z z) t)
98.0ms	(- (* x x) (* y (* 4.0 (- (* z z) t))))
67.0ms	(* y (* 4.0 (- (* z z) t)))

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1272
1	321
0	114

prune292.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.7b

localize49.0ms

Local error

Found 4 expressions with local error:

3.4b	(cbrt (* y (* 4.0 (- (* z z) t))))
3.8b	(* y (* 4.0 (- (* z z) t)))
3.8b	(* y (* 4.0 (- (* z z) t)))
3.8b	(* y (* 4.0 (- (* z z) t)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `distribute-lft-in`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`associate-*r/`
12×	`sub-neg`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3--` `flip--` `add-log-exp`
3×	`associate-r` `*-commutative`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 95

Calls

4 calls:

37.0ms	(cbrt (* y (* 4.0 (- (* z z) t))))
53.0ms	(* y (* 4.0 (- (* z z) t)))
41.0ms	(* y (* 4.0 (- (* z z) t)))
39.0ms	(* y (* 4.0 (- (* z z) t)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (* y (* 4.0 (- (* z z) t))))
78.0ms	(* y (* 4.0 (- (* z z) t)))
89.0ms	(* y (* 4.0 (- (* z z) t)))
98.0ms	(* y (* 4.0 (- (* z z) t)))

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	965
1	293
0	117

prune677.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.7b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(* (cbrt y) (* 4.0 (- (* z z) t)))
3.1b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

32×	`distribute-rgt-in` `distribute-lft-in`
30×	`pow1` `add-exp-log`
18×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`sub-neg`
10×	`associate-*r/`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 99

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
48.0ms	(* (cbrt y) (* 4.0 (- (* z z) t)))
124.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

series843.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt y)
222.0ms	(cbrt y)
247.0ms	(* (cbrt y) (* 4.0 (- (* z z) t)))
97.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5003
2	2398
1	474
0	145

prune470.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 1.7b

regimes1.5s

Accuracy

62.7% (1.3b remaining)

Error of 4.1b against oracle of 2.7b and baseline of 6.3b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s

15749×

body

valid