Details

sample43.0ms

Algorithm

intervals

Results

17.0ms

427×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10
done	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- y 1.0) z)
0.0b	(* (- t 1.0) a)
0.0b	(* (- (+ y t) 2.0) b)

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
22×	`add-sqr-sqrt`
19×	`flip3--` `*-un-lft-identity` `flip--`
16×	`associate-l`
13×	`add-log-exp`
12×	`frac-add`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
8×	`frac-sub`
4×	`associate-+l+` `distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

129.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
21.0ms	(* (- y 1.0) z)
22.0ms	(* (- t 1.0) a)
100.0ms	(* (- (+ y t) 2.0) b)

series263.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
29.0ms	(* (- y 1.0) z)
32.0ms	(* (- t 1.0) a)
29.0ms	(* (- (+ y t) 2.0) b)

simplify105.0ms

Counts

109 → 109

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	886	1273
1	4545	1219
2	5001	1219
done	5001	1219

prune334.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series706.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt z) (cbrt z))
173.0ms	(cbrt z)
170.0ms	(cbrt z)
172.0ms	(cbrt z)

simplify86.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235
done	5003	235

prune320.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
0.6b	(cbrt (* (- t 1.0) a))
0.6b	(cbrt (* (- t 1.0) a))
0.6b	(cbrt (* (- t 1.0) a))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

30.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
8.0ms	(cbrt (* (- t 1.0) a))
8.0ms	(cbrt (* (- t 1.0) a))
8.0ms	(cbrt (* (- t 1.0) a))

series363.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
85.0ms	(cbrt (* (- t 1.0) a))
87.0ms	(cbrt (* (- t 1.0) a))
88.0ms	(cbrt (* (- t 1.0) a))

simplify132.0ms

Counts

84 → 84

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	353	839
1	1065	784
2	4742	705
3	5002	698
done	5002	698

prune379.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(* (- t 1.0) a)
0.1b	(* (- (+ y t) 2.0) (sqrt b))
0.2b	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`associate-r`
17×	`associate-l`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt`
10×	`associate-*l/`
7×	`sqrt-prod`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`flip3--` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
3×	`difference-of-squares`
1×	`distribute-lft-out`

Counts

4 → 94

Calls

4 calls:

21.0ms	(* (- y 1.0) z)
21.0ms	(* (- t 1.0) a)
103.0ms	(* (- (+ y t) 2.0) (sqrt b))
141.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

series169.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- y 1.0) z)
35.0ms	(* (- t 1.0) a)
62.0ms	(* (- (+ y t) 2.0) (sqrt b))
43.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

simplify47.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	424	545
1	1788	458
2	5001	454
done	5001	454

prune288.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15
done	27	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

522.0ms	12556×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid