Details

sample146.0ms

Algorithm

intervals

Results

23.0ms

360×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3204
8	1317
7	597
6	205
5	147
4	122
3	86
2	39
1	16
0	8

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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)

rewrite66.0ms

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))
22.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
32.0ms	(* (* 0.12900613773279798 x) x)

series302.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
153.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
52.0ms	(* (* 0.12900613773279798 x) x)

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	938
1	282
0	111

prune344.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

10.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
19.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
15.0ms	(* (* 0.12900613773279798 x) x)

series289.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
147.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
51.0ms	(* (* 0.12900613773279798 x) x)

simplify3.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	3292
2	788
1	245
0	100

prune235.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
0.2b	(* x (* 0.12900613773279798 x))
0.2b	(* x (* 0.12900613773279798 x))
39.3b	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

12.0ms	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
27.0ms	(* x (* 0.12900613773279798 x))
27.0ms	(* x (* 0.12900613773279798 x))
1.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
28.0ms	(* x (* 0.12900613773279798 x))
52.0ms	(* x (* 0.12900613773279798 x))
96.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

simplify3.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
3	3007
2	531
1	174
0	85

prune480.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

11.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
26.0ms	(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
14.0ms	(* 0.12900613773279798 (* x x))

series262.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
115.0ms	(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
53.0ms	(* 0.12900613773279798 (* x x))

simplify3.7s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	4769
2	867
1	267
0	102

prune288.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes66.0ms

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	7

end0.0ms

sample830.0ms

Algorithm

intervals

Results

683.0ms

11908×

body

valid