Details

sample48.0ms

Algorithm

intervals

Results

18.0ms

330×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4079
5	803
4	229
3	84
2	34
1	14
0	8

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* z (- y 1.0)))
2.2b	(* x (+ 1.0 (* z (- y 1.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

11.0ms	(+ 1.0 (* z (- y 1.0)))
24.0ms	(* x (+ 1.0 (* z (- y 1.0))))

series100.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ 1.0 (* z (- y 1.0)))
72.0ms	(* x (+ 1.0 (* z (- y 1.0))))

simplify654.0ms

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	837
1	212
0	69

prune293.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

3.2b	(* (- y 1.0) (* z x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/` `add-cube-cbrt`
1×	`flip3--` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 22

Calls

1 calls:

52.0ms

(* (- y 1.0) (* z x))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* (- y 1.0) (* z x))

simplify1.2s

Counts

25 → 25

Iterations

Iter	Nodes
done	5001
3	2429
2	500
1	143
0	56

prune119.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.3b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
1.1b	(* (* (cbrt (- y 1.0)) x) z)
2.3b	(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* (* (cbrt (- y 1.0)) x) z))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
56×	`associate-*l/`
37×	`pow1`
35×	`flip3--` `flip--`
33×	`cbrt-prod`
32×	`add-sqr-sqrt` `frac-times` `add-exp-log`
30×	`*-un-lft-identity`
21×	`add-cbrt-cube`
20×	`pow-prod-down`
19×	`prod-exp` `cbrt-unprod`
14×	`add-cube-cbrt`
12×	`associate-r`
10×	`swap-sqr` `associate-l` `associate-*r/`
7×	`pow1/3` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 145

Calls

4 calls:

3.0ms	(cbrt (- y 1.0))
46.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
46.0ms	(* (* (cbrt (- y 1.0)) x) z)
197.0ms	(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* (* (cbrt (- y 1.0)) x) z))

series685.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- y 1.0))
172.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
266.0ms	(* (* (cbrt (- y 1.0)) x) z)
100.0ms	(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* (* (cbrt (- y 1.0)) x) z))

simplify1.9s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
2	3729
1	821
0	282

prune773.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.4b	(* (cbrt (- y 1.0)) (* (cbrt (- y 1.0)) (* (* x z) (cbrt (- y 1.0)))))
1.1b	(* (* x z) (cbrt (- y 1.0)))
2.0b	(* (cbrt (- y 1.0)) (* (* x z) (cbrt (- y 1.0))))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
42×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-times` `pow1` `add-exp-log`
20×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`associate-l`
16×	`add-cbrt-cube`
11×	`add-cube-cbrt`
10×	`associate-r` `associate-*l/`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`*-commutative`
1×	`pow1/3`

Counts

4 → 129

Calls

4 calls:

4.0ms	(cbrt (- y 1.0))
214.0ms	(* (cbrt (- y 1.0)) (* (cbrt (- y 1.0)) (* (* x z) (cbrt (- y 1.0)))))
32.0ms	(* (* x z) (cbrt (- y 1.0)))
81.0ms	(* (cbrt (- y 1.0)) (* (* x z) (cbrt (- y 1.0))))

series688.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (- y 1.0))
81.0ms	(* (cbrt (- y 1.0)) (* (cbrt (- y 1.0)) (* (* x z) (cbrt (- y 1.0)))))
168.0ms	(* (* x z) (cbrt (- y 1.0)))
310.0ms	(* (cbrt (- y 1.0)) (* (* x z) (cbrt (- y 1.0))))

simplify1.5s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	3147
1	722
0	256

prune717.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes201.0ms

Accuracy

80.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch73.0ms

Steps

Iters	Range		Point
8	5.552105912104385e-100	5.166766956205729e-97	4.89548859263659e-97
6	-7.164432560075927e-28	-4.598825314072417e-29	-7.039728002290877e-28

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	21

end0.0ms

sample1.2s

Algorithm

intervals

Results

406.0ms

10060×

body

valid