Details

sample64.0ms

Algorithm

intervals

Results

34.0ms

473×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4506
8	3719
7	2357
6	930
5	420
4	303
3	156
2	49
1	19
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.8b	(* (* y 4.0) (- (* z z) t))

rewrite61.0ms

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)
8.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
39.0ms	(* (* y 4.0) (- (* z z) t))

series208.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (* z z) t)
111.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
72.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.6s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1066
1	311
0	103

prune347.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* (* 4.0 y) z) z))
0.0b	(+ (* (* 4.0 y) t) (- (* x x) (* (* (* 4.0 y) z) z)))
0.2b	(* (* (* 4.0 y) z) z)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-r`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `associate-l` `*-commutative` `flip-+` `flip--`

Counts

3 → 48

Calls

3 calls:

6.0ms	(- (* x x) (* (* (* 4.0 y) z) z))
23.0ms	(+ (* (* 4.0 y) t) (- (* x x) (* (* (* 4.0 y) z) z)))
43.0ms	(* (* (* 4.0 y) z) z)

series244.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- (* x x) (* (* (* 4.0 y) z) z))
124.0ms	(+ (* (* 4.0 y) t) (- (* x x) (* (* (* 4.0 y) z) z)))
33.0ms	(* (* (* 4.0 y) z) z)

simplify1.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	1254
1	312
0	103

prune371.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* 4.0 y) z) z)) (cbrt (* (* (* 4.0 y) z) z)))
22.1b	(cbrt (* (* (* 4.0 y) z) z))
22.1b	(cbrt (* (* (* 4.0 y) z) z))
22.1b	(cbrt (* (* (* 4.0 y) z) z))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

43.0ms	(* (cbrt (* (* (* 4.0 y) z) z)) (cbrt (* (* (* 4.0 y) z) z)))
36.0ms	(cbrt (* (* (* 4.0 y) z) z))
40.0ms	(cbrt (* (* (* 4.0 y) z) z))
58.0ms	(cbrt (* (* (* 4.0 y) z) z))

series591.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (* (* (* 4.0 y) z) z)) (cbrt (* (* (* 4.0 y) z) z)))
144.0ms	(cbrt (* (* (* 4.0 y) z) z))
119.0ms	(cbrt (* (* (* 4.0 y) z) z))
145.0ms	(cbrt (* (* (* 4.0 y) z) z))

simplify1.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5004
3	1588
2	604
1	238
0	95

prune586.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
10.2b	(cbrt (* (* 4.0 y) z))
22.1b	(cbrt (* (* (* 4.0 y) z) z))
22.1b	(cbrt (* (* (* 4.0 y) z) z))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt z)
10.0ms	(cbrt (* (* 4.0 y) z))
39.0ms	(cbrt (* (* (* 4.0 y) z) z))
50.0ms	(cbrt (* (* (* 4.0 y) z) z))

series726.0ms

Counts

4 → 12

Calls

4 calls:

327.0ms	(cbrt z)
142.0ms	(cbrt (* (* 4.0 y) z))
132.0ms	(cbrt (* (* (* 4.0 y) z) z))
125.0ms	(cbrt (* (* (* 4.0 y) z) z))

simplify2.3s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
4	3678
3	1039
2	362
1	181
0	86

prune479.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes822.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

15833×

body

valid