Details

sample118.0ms

Algorithm

intervals

Results

49.0ms

535×

body

valid

simplify11.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4955
9	4277
8	3515
7	2241
6	916
5	421
4	304
3	156
2	49
1	19
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.5b	(* (* y 4.0) (- (* z z) t))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

22.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
98.0ms	(* (* y 4.0) (- (* z z) t))

series428.0ms

Counts

2 → 6

Calls

2 calls:

160.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
268.0ms	(* (* y 4.0) (- (* z z) t))

simplify10.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
3	4610
2	1003
1	277
0	93

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.5b

localize68.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
7.0b	(cbrt (- (* z z) t))
7.0b	(cbrt (- (* z z) t))
7.0b	(cbrt (- (* z z) t))

rewrite572.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

515.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
13.0ms	(cbrt (- (* z z) t))
15.0ms	(cbrt (- (* z z) t))
22.0ms	(cbrt (- (* z z) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

303.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
275.0ms	(cbrt (- (* z z) t))
229.0ms	(cbrt (- (* z z) t))
223.0ms	(cbrt (- (* z z) t))

simplify9.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5003
3	2888
2	893
1	306
0	120

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.5b

localize68.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.5b	(* (* y 4.0) (- (* z z) t))
6.5b	(* (* y 4.0) (- (* z z) t))
6.5b	(* (* y 4.0) (- (* z z) t))

rewrite461.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

55.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
113.0ms	(* (* y 4.0) (- (* z z) t))
86.0ms	(* (* y 4.0) (- (* z z) t))
92.0ms	(* (* y 4.0) (- (* z z) t))

series1.2s

Counts

4 → 12

Calls

4 calls:

680.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
246.0ms	(* (* y 4.0) (- (* z z) t))
118.0ms	(* (* y 4.0) (- (* z z) t))
174.0ms	(* (* y 4.0) (- (* z z) t))

simplify9.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
3	3697
2	916
1	299
0	112

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.5b

localize127.0ms

Local error

Found 4 expressions with local error:

6.5b	(* (* y 4.0) (- (* z z) t))
6.5b	(* (* y 4.0) (- (* z z) t))
6.5b	(* (* y 4.0) (- (* z z) t))
6.5b	(* (* y 4.0) (- (* z z) t))

rewrite446.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`associate-r`
12×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `-un-lft-identity` `distribute-lft-in` `associate-r/`
4×	`flip3--` `associate-l` `*-commutative` `flip--` `add-log-exp` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

82.0ms	(* (* y 4.0) (- (* z z) t))
81.0ms	(* (* y 4.0) (- (* z z) t))
171.0ms	(* (* y 4.0) (- (* z z) t))
105.0ms	(* (* y 4.0) (- (* z z) t))

series678.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (* y 4.0) (- (* z z) t))
147.0ms	(* (* y 4.0) (- (* z z) t))
185.0ms	(* (* y 4.0) (- (* z z) t))
212.0ms	(* (* y 4.0) (- (* z z) t))

simplify5.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
3	3132
2	716
1	197
0	66

prune1.1s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.5b

regimes2.0s

Accuracy

86.6% (0.4b remaining)

Error of 2.9b against oracle of 2.4b and baseline of 5.7b

bsearch2.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.7s

15743×

body

valid