Details

sample75.0ms

Algorithm

intervals

Results

31.0ms

396×

body

valid

simplify784.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	2024
3	382
2	112
1	38
0	18

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*r/`
23×	`flip3--` `flip--`
18×	`add-log-exp`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`sub-neg` `frac-add` `frac-sub`
11×	`associate-r`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `add-cbrt-cube` `associate--l+` `add-exp-log` `add-cube-cbrt`
6×	`associate-+r+` `diff-log` `associate-l`
4×	`associate-+l+` `associate--r+`
3×	`sum-log` `distribute-lft-out--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`associate--l-` `+-commutative` `flip3-+` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

4 → 115

Calls

4 calls:

32.0ms	(* a (- t 1.0))
84.0ms	(* b (- (+ t y) 2.0))
113.0ms	(+ (- (- x (* (- y 1.0) z)) (* a (- t 1.0))) (* b (- (+ t y) 2.0)))
24.0ms	(- (- x (* (- y 1.0) z)) (* a (- t 1.0)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* a (- t 1.0))
42.0ms	(* b (- (+ t y) 2.0))
228.0ms	(+ (- (- x (* (- y 1.0) z)) (* a (- t 1.0))) (* b (- (+ t y) 2.0)))
139.0ms	(- (- x (* (- y 1.0) z)) (* a (- t 1.0)))

simplify1.7s

Counts

127 → 127

Iterations

Iter	Nodes
done	5004
2	4670
1	916
0	260

prune967.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-log-exp`
17×	`sum-log`
15×	`flip3--` `flip--`
14×	`associate-*r/`
12×	`diff-log` `frac-add` `frac-sub`
10×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt`
6×	`pow1` `associate-+l+` `sub-neg` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`associate-+r-`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `neg-log` `associate--l+` `associate--r+`
3×	`associate-l`
2×	`neg-sub0` `+-commutative` `unsub-neg` `distribute-lft-out`
1×	`associate--l-` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

18.0ms	(* b (+ t y))
153.0ms	(+ (- (- x (* (- y 1.0) z)) (* a (- t 1.0))) (+ (* b (+ t y)) (- (* 2.0 b))))
21.0ms	(+ (* b (+ t y)) (- (* 2.0 b)))
29.0ms	(- (- x (* (- y 1.0) z)) (* a (- t 1.0)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* b (+ t y))
224.0ms	(+ (- (- x (* (- y 1.0) z)) (* a (- t 1.0))) (+ (* b (+ t y)) (- (* 2.0 b))))
68.0ms	(+ (* b (+ t y)) (- (* 2.0 b)))
157.0ms	(- (- x (* (- y 1.0) z)) (* a (- t 1.0)))

simplify496.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
1	883
0	241

prune901.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* b (cbrt (+ t y))) (cbrt (+ t y))) (cbrt (+ t y)))
0.6b	(cbrt (+ t y))
0.6b	(cbrt (+ t y))
0.6b	(cbrt (+ t y))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`associate-*r/`
17×	`*-un-lft-identity`
16×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-cbrt-cube` `associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-out` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

150.0ms	(* (* (* b (cbrt (+ t y))) (cbrt (+ t y))) (cbrt (+ t y)))
6.0ms	(cbrt (+ t y))
6.0ms	(cbrt (+ t y))
7.0ms	(cbrt (+ t y))

series577.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (* b (cbrt (+ t y))) (cbrt (+ t y))) (cbrt (+ t y)))
133.0ms	(cbrt (+ t y))
180.0ms	(cbrt (+ t y))
197.0ms	(cbrt (+ t y))

simplify1.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	2234
1	424
0	146

prune823.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

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))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

22.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
6.0ms	(cbrt (* (- t 1.0) a))
12.0ms	(cbrt (* (- t 1.0) a))
8.0ms	(cbrt (* (- t 1.0) a))

series495.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
126.0ms	(cbrt (* (- t 1.0) a))
124.0ms	(cbrt (* (- t 1.0) a))
123.0ms	(cbrt (* (- t 1.0) a))

simplify606.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1197
1	375
0	150

prune759.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes492.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	38
2	38
1	36
0	23

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.6s	12454×	body	80	valid
2.0ms	2×	body	1280	valid
1.0ms	5×	body	320	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid