Details

sample64.0ms

Algorithm

intervals

Results

13.0ms

383×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1253
6	490
5	250
4	147
3	82
2	38
1	15
0	8

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 55

Calls

3 calls:

9.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
18.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
18.0ms	(* 0.12900613773279798 (* x x))

series296.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
134.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
63.0ms	(* 0.12900613773279798 (* x x))

simplify1.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1549
1	254
0	85

prune197.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.954929658551372 (* (* (- 0.12900613773279798) x) x))
0.1b	(* x (+ 0.954929658551372 (* (* (- 0.12900613773279798) x) x)))
0.2b	(* (* (- 0.12900613773279798) x) x)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`distribute-lft-neg-out` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `unsub-neg` `unswap-sqr`

Counts

3 → 54

Calls

3 calls:

14.0ms	(+ 0.954929658551372 (* (* (- 0.12900613773279798) x) x))
19.0ms	(* x (+ 0.954929658551372 (* (* (- 0.12900613773279798) x) x)))
18.0ms	(* (* (- 0.12900613773279798) x) x)

series277.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ 0.954929658551372 (* (* (- 0.12900613773279798) x) x))
154.0ms	(* x (+ 0.954929658551372 (* (* (- 0.12900613773279798) x) x)))
37.0ms	(* (* (- 0.12900613773279798) x) x)

simplify1.1s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1822
1	283
0	88

prune255.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))))
0.2b	(* x (* x (sqrt 0.12900613773279798)))
0.3b	(* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))
0.3b	(* x (sqrt 0.12900613773279798))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`add-sqr-sqrt`
15×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`sqrt-prod`
4×	`*-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--`

Counts

4 → 88

Calls

4 calls:

28.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))))
33.0ms	(* x (* x (sqrt 0.12900613773279798)))
75.0ms	(* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))
9.0ms	(* x (sqrt 0.12900613773279798))

series530.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))))
58.0ms	(* x (* x (sqrt 0.12900613773279798)))
105.0ms	(* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))
76.0ms	(* x (sqrt 0.12900613773279798))

simplify955.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1628
1	297
0	114

prune414.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (* x x) (sqrt 0.12900613773279798))))
0.1b	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (* x x) (sqrt 0.12900613773279798)))))
0.2b	(* (* x x) (sqrt 0.12900613773279798))
0.3b	(* (sqrt 0.12900613773279798) (* (* x x) (sqrt 0.12900613773279798)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`sqrt-prod`
6×	`add-log-exp`
3×	`sub-neg` `*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `flip--`
1×	`diff-log`

Counts

4 → 83

Calls

4 calls:

5.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (* x x) (sqrt 0.12900613773279798))))
14.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (* x x) (sqrt 0.12900613773279798)))))
19.0ms	(* (* x x) (sqrt 0.12900613773279798))
54.0ms	(* (sqrt 0.12900613773279798) (* (* x x) (sqrt 0.12900613773279798)))

series596.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (* x x) (sqrt 0.12900613773279798))))
253.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (* x x) (sqrt 0.12900613773279798)))))
54.0ms	(* (* x x) (sqrt 0.12900613773279798))
122.0ms	(* (sqrt 0.12900613773279798) (* (* x x) (sqrt 0.12900613773279798)))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2127
1	330
0	115

prune313.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	25
3	25
2	22
1	14
0	8

end0.0ms

sample939.0ms

Algorithm

intervals

Results

666.0ms

11958×

body

valid