Details

sample141.0ms

Algorithm

intervals

Results

21.0ms

375×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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))

rewrite36.0ms

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:

5.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
14.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
16.0ms	(* 0.12900613773279798 (* x x))

series275.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
123.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
43.0ms	(* 0.12900613773279798 (* x x))

simplify952.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1549
1	254
0	85

prune286.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 43

Calls

2 calls:

12.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
24.0ms	(* 0.12900613773279798 (pow x 3))

series173.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
47.0ms	(* 0.12900613773279798 (pow x 3))

simplify601.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
2	796
1	197
0	75

prune225.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)

rewrite45.0ms

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:

5.0ms	(+ 0.954929658551372 (* (* (- 0.12900613773279798) x) x))
21.0ms	(* x (+ 0.954929658551372 (* (* (- 0.12900613773279798) x) x)))
18.0ms	(* (* (- 0.12900613773279798) x) x)

series262.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ 0.954929658551372 (* (* (- 0.12900613773279798) x) x))
141.0ms	(* x (+ 0.954929658551372 (* (* (- 0.12900613773279798) x) x)))
41.0ms	(* (* (- 0.12900613773279798) x) x)

simplify1.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1822
1	283
0	88

prune305.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

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)))
0.2b	(* x (sqrt 0.12900613773279798))
0.3b	(* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))

rewrite177.0ms

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:

29.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))))
33.0ms	(* x (* x (sqrt 0.12900613773279798)))
16.0ms	(* x (sqrt 0.12900613773279798))
95.0ms	(* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))

series464.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))))
78.0ms	(* x (* x (sqrt 0.12900613773279798)))
45.0ms	(* x (sqrt 0.12900613773279798))
78.0ms	(* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))

simplify978.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1631
1	297
0	114

prune373.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample924.0ms

Algorithm

intervals

Results

710.0ms

12085×

body

valid