Details

sample113.0ms

Algorithm

intervals

Results

21.0ms

377×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2470
7	834
6	353
5	200
4	132
3	89
2	40
1	16
0	8

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`prod-diff`
6×	`associate-l`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 76

Calls

3 calls:

10.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
24.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
27.0ms	(* 0.12900613773279798 (* x x))

series289.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
169.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
53.0ms	(* 0.12900613773279798 (* x x))

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5010
2	1321
1	308
0	112

prune342.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

5.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
13.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
24.0ms	(* (* 0.12900613773279798 x) x)

series321.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
162.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
49.0ms	(* (* 0.12900613773279798 x) x)

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1053
1	282
0	111

prune249.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
25.0ms	(* (* x x) x)
72.0ms	(* 0.12900613773279798 (* (* x x) x))

series248.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
55.0ms	(* (* x x) x)
50.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify3.8s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
3	4554
2	856
1	256
0	94

prune211.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x)))
24.3b	(cbrt (* (* 0.12900613773279798 x) x))
24.3b	(cbrt (* (* 0.12900613773279798 x) x))
24.3b	(cbrt (* (* 0.12900613773279798 x) x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

24.0ms	(* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x)))
11.0ms	(cbrt (* (* 0.12900613773279798 x) x))
13.0ms	(cbrt (* (* 0.12900613773279798 x) x))
14.0ms	(cbrt (* (* 0.12900613773279798 x) x))

series1.4s

Counts

4 → 12

Calls

4 calls:

356.0ms	(* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x)))
310.0ms	(cbrt (* (* 0.12900613773279798 x) x))
344.0ms	(cbrt (* (* 0.12900613773279798 x) x))
358.0ms	(cbrt (* (* 0.12900613773279798 x) x))

simplify2.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
4	2745
3	836
2	309
1	129
0	57

prune309.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

12031×

body

valid