Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

336×

body

valid

simplify147.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	136
6	136
5	134
4	122
3	79
2	36
1	16
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.4b	(- (* x y) (* z y))
5.7b	(* (- (* x y) (* z y)) t)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-l*` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `flip3--` `distribute-rgt-out--` `associate-*l/` `log1p-expm1-u` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

13.0ms	(- (* x y) (* z y))
43.0ms	(* (- (* x y) (* z y)) t)

series123.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (* x y) (* z y))
66.0ms	(* (- (* x y) (* z y)) t)

simplify670.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
2	788
1	178
0	69

prune226.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

5.7b	(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
8.3b	(cbrt (* y (- x z)))
8.3b	(cbrt (* y (- x z)))
8.3b	(cbrt (* y (- x z)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

68×	`associate-*r/`
60×	`cbrt-div`
40×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 88

Calls

4 calls:

206.0ms	(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
6.0ms	(cbrt (* y (- x z)))
6.0ms	(cbrt (* y (- x z)))
6.0ms	(cbrt (* y (- x z)))

series831.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
242.0ms	(cbrt (* y (- x z)))
261.0ms	(cbrt (* y (- x z)))
236.0ms	(cbrt (* y (- x z)))

simplify807.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1524
1	413
0	167

prune742.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.1b	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
2.1b	(* (* (* y (- x z)) (cbrt t)) (cbrt t))
3.0b	(* (* y (- x z)) (cbrt t))

rewrite760.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`associate-r`
16×	`add-cbrt-cube`
12×	`cbrt-prod` `associate-*l/`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
1×	`pow1/3`

Counts

4 → 97

Calls

4 calls:

1.0ms	(cbrt t)
530.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
174.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))
48.0ms	(* (* y (- x z)) (cbrt t))

series894.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt t)
102.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
294.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))
213.0ms	(* (* y (- x z)) (cbrt t))

simplify2.0s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	2964
1	448
0	153

prune543.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

8.0b	(* (- x z) (* t y))

rewrite35.0ms

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×	`expm1-log1p-u` `flip3--` `associate-r` `*-commutative` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 24

Calls

1 calls:

34.0ms

(* (- x z) (* t y))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(* (- x z) (* t y))

simplify1.5s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	2675
2	522
1	152
0	58

prune141.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.0b

regimes810.0ms

Accuracy

93.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.9b

bsearch2.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	32
1	32
0	25

end0.0ms

sample1.2s

Algorithm

intervals

Results

566.0ms

10662×

body

valid