Details

sample113.0ms

Algorithm

intervals

Results

56.0ms

528×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	4486
7	4046
6	3647
5	2153
4	769
3	227
2	76
1	32
0	18

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
8.9b	(* (* (+ a (* b c)) c) i)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `flip3-+` `add-cube-cbrt` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
2×	`sum-log` `diff-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

7.0ms	(+ (* x y) (* z t))
45.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
23.0ms	(* (+ a (* b c)) c)
31.0ms	(* (* (+ a (* b c)) c) i)

series995.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (* x y) (* z t))
756.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
81.0ms	(* (+ a (* b c)) c)
101.0ms	(* (* (+ a (* b c)) c) i)

simplify1.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	1692
1	444
0	148

prune712.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.4b	(* (+ a (* b c)) (* c i))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

4.0ms	(+ a (* b c))
6.0ms	(+ (* x y) (* z t))
58.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
35.0ms	(* (+ a (* b c)) (* c i))

series1.0s

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ a (* b c))
52.0ms	(+ (* x y) (* z t))
847.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
96.0ms	(* (+ a (* b c)) (* c i))

simplify1.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1696
1	406
0	131

prune783.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

localize49.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
2.7b	(* (cbrt (+ a (* b c))) (* c i))
2.7b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*l/`
30×	`pow1` `flip3-+` `add-exp-log` `flip-+`
28×	`frac-times`
18×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/` `add-cube-cbrt`
7×	`associate-l`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 103

Calls

4 calls:

3.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
21.0ms	(* (cbrt (+ a (* b c))) (* c i))
118.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series905.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (+ a (* b c)))
147.0ms	(cbrt (+ a (* b c)))
499.0ms	(* (cbrt (+ a (* b c))) (* c i))
71.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

simplify1.9s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	1682
1	547
0	188

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.3b

localize65.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
1.8b	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i)))
2.7b	(* (cbrt (+ a (* b c))) (* c i))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `cbrt-div` `add-exp-log`
12×	`cbrt-prod` `associate-l`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `-un-lft-identity` `associate-l/` `add-cube-cbrt`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
4×	`frac-times` `add-log-exp`
2×	`pow1/3` `associate-r` `associate-r/` `-commutative`

Counts

4 → 81

Calls

4 calls:

5.0ms	(cbrt (+ a (* b c)))
5.0ms	(cbrt (+ a (* b c)))
60.0ms	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i)))
22.0ms	(* (cbrt (+ a (* b c))) (* c i))

series1.2s

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (+ a (* b c)))
215.0ms	(cbrt (+ a (* b c)))
422.0ms	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i)))
449.0ms	(* (cbrt (+ a (* b c))) (* c i))

simplify2.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	3859
2	1184
1	392
0	145

prune1.0s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.3b

regimes3.6s

Accuracy

0% (1.6b remaining)

Error of 1.8b against oracle of 0.2b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.8s

15263×

body

valid