Details

sample120.0ms

Algorithm

intervals

Results

64.0ms

496×

body

valid

simplify14.3s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
8.2b	(* (* (+ a (* b c)) c) i)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

5.0ms	(+ a (* b c))
62.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
17.0ms	(* (+ a (* b c)) c)
37.0ms	(* (* (+ a (* b c)) c) i)

series990.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ a (* b c))
817.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
71.0ms	(* (+ a (* b c)) c)
72.0ms	(* (* (+ a (* b c)) c) i)

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	146	1383
1	430	1307
2	1746	1195
done	5000	1179

prune391.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize459.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
4.6b	(* (+ 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:

16.0ms	(+ (* x y) (* z t))
11.0ms	(+ a (* b c))
60.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
36.0ms	(* (+ a (* b c)) (* c i))

series1.0s

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* x y) (* z t))
53.0ms	(+ a (* b c))
823.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
109.0ms	(* (+ a (* b c)) (* c i))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	130	1315
1	404	1225
2	1656	1145
done	5001	1129

prune424.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.7b

localize43.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (+ a (* b c)))
1.5b	(cbrt (+ a (* b c)))
1.5b	(cbrt (+ a (* b c)))
4.6b	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

rewrite284.0ms

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)))
270.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

series557.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (+ a (* b c)))
171.0ms	(cbrt (+ a (* b c)))
143.0ms	(cbrt (+ a (* b c)))
101.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

simplify4.1s

Counts

105 → 105

Iterations

Useful iterations: done (4.1s)

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

prune602.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (pow (* (* (+ a (* b c)) i) c) 1))
1.1b	(* (+ a (* b c)) i)
5.1b	(* (* (+ a (* b c)) i) c)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

10.0ms	(+ a (* b c))
53.0ms	(- (+ (* x y) (* z t)) (pow (* (* (+ a (* b c)) i) c) 1))
16.0ms	(* (+ a (* b c)) i)
49.0ms	(* (* (+ a (* b c)) i) c)

series931.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ a (* b c))
722.0ms	(- (+ (* x y) (* z t)) (pow (* (* (+ a (* b c)) i) c) 1))
66.0ms	(* (+ a (* b c)) i)
104.0ms	(* (* (+ a (* b c)) i) c)

simplify1.2s

Counts

80 → 80

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	131	1200
1	325	1094
2	1189	980
done	5001	958

prune396.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.7b

regimes1.2s

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	26	19
done	26	19

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.1s

14930×

body

valid