Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	912
6	280
5	218
4	148
3	91
2	46
1	19
0	8

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

4.0ms	(+ 0.253 (* x 0.12))
12.0ms	(* x (+ 0.253 (* x 0.12)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ 0.253 (* x 0.12))
86.0ms	(* x (+ 0.253 (* x 0.12)))

simplify596.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
2	878
1	196
0	64

prune274.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.253 x) (* (* x x) 0.12))
0.2b	(* (* x x) 0.12)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

7.0ms	(+ (* 0.253 x) (* (* x x) 0.12))
16.0ms	(* (* x x) 0.12)

series156.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(+ (* 0.253 x) (* (* x x) 0.12))
36.0ms	(* (* x x) 0.12)

simplify1.3s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
2	1159
1	194
0	64

prune176.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.253 x) (* (* (sqrt 0.12) (* x x)) (sqrt 0.12)))
0.2b	(* (* (sqrt 0.12) (* x x)) (sqrt 0.12))
0.2b	(* (sqrt 0.12) (* x x))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt` `sqrt-prod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 65

Calls

3 calls:

13.0ms	(+ (* 0.253 x) (* (* (sqrt 0.12) (* x x)) (sqrt 0.12)))
64.0ms	(* (* (sqrt 0.12) (* x x)) (sqrt 0.12))
32.0ms	(* (sqrt 0.12) (* x x))

series379.0ms

Counts

3 → 9

Calls

3 calls:

182.0ms	(+ (* 0.253 x) (* (* (sqrt 0.12) (* x x)) (sqrt 0.12)))
114.0ms	(* (* (sqrt 0.12) (* x x)) (sqrt 0.12))
83.0ms	(* (sqrt 0.12) (* x x))

simplify1.3s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1790
1	276
0	94

prune267.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.253 x) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
0.2b	(* (sqrt 0.12) x)
0.2b	(* (sqrt 0.12) x)
0.4b	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-l`
10×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`pow2` `+-commutative` `sum-log` `fma-def` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 98

Calls

4 calls:

12.0ms	(+ (* 0.253 x) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
14.0ms	(* (sqrt 0.12) x)
20.0ms	(* (sqrt 0.12) x)
40.0ms	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

series346.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ (* 0.253 x) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
52.0ms	(* (sqrt 0.12) x)
60.0ms	(* (sqrt 0.12) x)
99.0ms	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	1400
1	236
0	87

prune422.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes140.0ms

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	11
1	11
0	8

end0.0ms

sample666.0ms

Algorithm

intervals

Results

484.0ms

10652×

body

valid