Details

sample374.0ms

Algorithm

intervals

Results

304.0ms

501×

body

valid

simplify24.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4313
7	3880
6	3497
5	2117
4	765
3	227
2	76
1	32
0	18

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize95.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.1b	(* (+ a (* b c)) c)
8.5b	(* (* (+ a (* b c)) c) i)

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

12.0ms	(+ a (* b c))
16.0ms	(+ (* x y) (* z t))
43.0ms	(* (+ a (* b c)) c)
260.0ms	(* (* (+ a (* b c)) c) i)

series1.1s

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ a (* b c))
372.0ms	(+ (* x y) (* z t))
123.0ms	(* (+ a (* b c)) c)
477.0ms	(* (* (+ a (* b c)) c) i)

simplify15.0s

Counts

74 → 74

Iterations

Iter	Nodes
done	5010
3	4313
2	1070
1	325
0	115

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.3b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b	(+ (* x y) (* z t))
6.3b	(* (+ a (* b c)) (* c i))

rewrite469.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

15.0ms	(+ a (* b c))
189.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
41.0ms	(+ (* x y) (* z t))
182.0ms	(* (+ a (* b c)) (* c i))

series2.7s

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ a (* b c))
2.0s	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
346.0ms	(+ (* x y) (* z t))
296.0ms	(* (+ a (* b c)) (* c i))

simplify4.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5004
2	1701
1	406
0	130

prune1.9s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.5b

localize353.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
2.3b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
2.9b	(* (cbrt (+ a (* b c))) (* c i))

rewrite581.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

6.0ms	(cbrt (+ a (* b c)))
17.0ms	(cbrt (+ a (* b c)))
466.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
72.0ms	(* (cbrt (+ a (* b c))) (* c i))

series2.8s

Counts

4 → 12

Calls

4 calls:

492.0ms	(cbrt (+ a (* b c)))
325.0ms	(cbrt (+ a (* b c)))
252.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
1.7s	(* (cbrt (+ a (* b c))) (* c i))

simplify6.6s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1671
1	546
0	188

prune2.5s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.5b

localize270.0ms

Local error

Found 4 expressions with local error:

6.3b	(* (+ a (* b c)) (* c i))
8.6b	(cbrt (* (+ a (* b c)) (* c i)))
8.6b	(cbrt (* (+ a (* b c)) (* c i)))
8.6b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

74.0ms	(* (+ a (* b c)) (* c i))
24.0ms	(cbrt (* (+ a (* b c)) (* c i)))
22.0ms	(cbrt (* (+ a (* b c)) (* c i)))
28.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series1.8s

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (+ a (* b c)) (* c i))
583.0ms	(cbrt (* (+ a (* b c)) (* c i)))
467.0ms	(cbrt (* (+ a (* b c)) (* c i)))
525.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify15.5s

Counts

65 → 65

Iterations

Iter	Nodes
done	5002
3	4197
2	1036
1	324
0	123

prune2.5s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.5b

regimes10.0s

Accuracy

40.9% (0.9b remaining)

Error of 1.2b against oracle of 0.3b and baseline of 1.9b

bsearch4.0ms

simplify23.0ms

Iterations

Iter	Nodes
done	53
1	53
0	38

end0.0ms

sample14.5s

Algorithm

intervals

Results

12.7s

15032×

body

valid