Details

sample77.0ms

Algorithm

intervals

Results

30.0ms

396×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

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

prune8.0ms

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

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
23×	`flip3--` `flip--`
18×	`add-log-exp`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`frac-add` `frac-sub`
11×	`associate-l`
8×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`diff-log` `associate-r`
4×	`associate-+l+` `sub-neg` `associate--l+`
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 → 95

Calls

4 calls:

18.0ms	(* (- t 1.0) a)
131.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
94.0ms	(* (- (+ y t) 2.0) b)
41.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))

series389.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- t 1.0) a)
205.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
31.0ms	(* (- (+ y t) 2.0) b)
110.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))

simplify2.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	4464
1	841
0	240

prune823.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

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))

rewrite73.0ms

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:

44.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
12.0ms	(cbrt (* (- t 1.0) a))
7.0ms	(cbrt (* (- t 1.0) a))
7.0ms	(cbrt (* (- t 1.0) a))

series524.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
133.0ms	(cbrt (* (- t 1.0) a))
132.0ms	(cbrt (* (- t 1.0) a))
116.0ms	(cbrt (* (- t 1.0) a))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1197
1	375
0	150

prune851.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt a) (cbrt (* (- t 1.0) a)))
0.6b	(cbrt (* (- t 1.0) a))
0.6b	(cbrt (* (- t 1.0) a))
0.6b	(cbrt a)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

24.0ms	(* (cbrt a) (cbrt (* (- t 1.0) a)))
12.0ms	(cbrt (* (- t 1.0) a))
8.0ms	(cbrt (* (- t 1.0) a))
1.0ms	(cbrt a)

series724.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt a) (cbrt (* (- t 1.0) a)))
115.0ms	(cbrt (* (- t 1.0) a))
103.0ms	(cbrt (* (- t 1.0) a))
287.0ms	(cbrt a)

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1185
1	378
0	154

prune821.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
44×	`associate-*l/`
19×	`flip3--` `flip--`
12×	`frac-times`
6×	`associate-*r/`
4×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

4 → 62

Calls

4 calls:

6.0ms	(cbrt (* (- t 1.0) a))
15.0ms	(cbrt (* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a))))
17.0ms	(cbrt (* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a))))
15.0ms	(cbrt (* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a))))

series423.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (* (- t 1.0) a))
118.0ms	(cbrt (* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a))))
107.0ms	(cbrt (* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a))))
106.0ms	(cbrt (* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a))))

simplify1.7s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	3114
2	812
1	326
0	149

prune907.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes568.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	32
1	32
0	24

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.7s	12454×	body	80	valid
1.0ms	5×	body	320	valid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid