Details

sample104.0ms

Algorithm

intervals

Results

51.0ms

478×

body

valid

simplify14.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	77	19
3	228	19
4	707	19
5	1495	19
6	1992	19
7	2251	19
8	2668	19
9	3141	19
10	3346	19
11	3407	19
done	3407	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.1b	(* (+ a (* b c)) c)
9.7b	(* (* (+ a (* b c)) c) i)

rewrite94.0ms

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:

13.0ms	(+ (* x y) (* z t))
10.0ms	(+ a (* b c))
33.0ms	(* (+ a (* b c)) c)
35.0ms	(* (* (+ a (* b c)) c) i)

series279.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (* x y) (* z t))
39.0ms	(+ a (* b c))
75.0ms	(* (+ a (* b c)) c)
108.0ms	(* (* (+ a (* b c)) c) i)

simplify2.9s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	115	798
1	316	780
2	1142	670
3	3962	662
done	5001	662

prune298.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.6b

localize17.0ms

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)))
0.0b	(+ a (* b c))
4.3b	(* (+ a (* b c)) (* c i))

rewrite128.0ms

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:

14.0ms	(+ (* x y) (* z t))
68.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.0ms	(+ a (* b c))
36.0ms	(* (+ a (* b c)) (* c i))

series1.0s

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* x y) (* z t))
847.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
41.0ms	(+ a (* b c))
85.0ms	(* (+ a (* b c)) (* c i))

simplify898.0ms

Counts

72 → 72

Iterations

Useful iterations: done (887.0ms)

Iter	Nodes	Cost
0	130	1315
1	404	1225
2	1655	1145
done	5000	1129

prune316.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.6b

localize42.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt (+ a (* b c)))
2.0b	(cbrt (+ a (* b c)))
2.0b	(cbrt (+ a (* b c)))
4.3b	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

3.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* b c)))
261.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

series535.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (+ a (* b c)))
136.0ms	(cbrt (+ a (* b c)))
151.0ms	(cbrt (+ a (* b c)))
89.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

simplify4.4s

Counts

105 → 105

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	182	2490
1	512	2427
2	1641	1840
3	4894	1685
done	5000	1679

prune611.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.6b

localize63.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (cbrt (+ a (* b c))) (* c i))
2.0b	(cbrt (+ a (* b c)))
2.0b	(cbrt (+ a (* b c)))
2.0b	(cbrt (+ a (* b c)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

43.0ms	(* (cbrt (+ a (* b c))) (* c i))
6.0ms	(cbrt (+ a (* b c)))
6.0ms	(cbrt (+ a (* b c)))
7.0ms	(cbrt (+ a (* b c)))

series1.1s

Counts

4 → 12

Calls

4 calls:

532.0ms	(* (cbrt (+ a (* b c))) (* c i))
205.0ms	(cbrt (+ a (* b c)))
202.0ms	(cbrt (+ a (* b c)))
165.0ms	(cbrt (+ a (* b c)))

simplify2.8s

Counts

74 → 74

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	110	978
1	284	947
2	783	867
3	2129	823
done	5000	777

prune467.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.6b

regimes1.1s

Accuracy

60.2% (0.5b remaining)

Error of 1.3b against oracle of 0.8b and baseline of 2.1b

bsearch3.0ms

simplify42.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	116
1	56	116
2	60	116
3	67	116
4	71	116
5	76	116
done	76	116

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.6s

15356×

body

valid