Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

334×

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

9.0ms	(+ 0.253 (* x 0.12))
29.0ms	(* x (+ 0.253 (* x 0.12)))

series173.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ 0.253 (* x 0.12))
127.0ms	(* x (+ 0.253 (* x 0.12)))

simplify699.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
2	878
1	196
0	64

prune253.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (fma (* (cbrt 0.253) (cbrt 0.253)) (cbrt 0.253) (* x 0.12)))
1.0b	(cbrt 0.253)
1.0b	(cbrt 0.253)
1.0b	(cbrt 0.253)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

5.0ms	(* x (fma (* (cbrt 0.253) (cbrt 0.253)) (cbrt 0.253) (* x 0.12)))
1.0ms	(cbrt 0.253)
1.0ms	(cbrt 0.253)
1.0ms	(cbrt 0.253)

series247.0ms

Counts

4 → 6

Calls

4 calls:

246.0ms	(* x (fma (* (cbrt 0.253) (cbrt 0.253)) (cbrt 0.253) (* x 0.12)))
0.0ms	(cbrt 0.253)
0.0ms	(cbrt 0.253)
0.0ms	(cbrt 0.253)

simplify1.3s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
3	2729
2	410
1	114
0	58

prune420.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

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-l*` `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-r` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

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

series144.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(+ (* x 0.253) (* 0.12 (* x x)))
40.0ms	(* 0.12 (* x x))

simplify934.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
2	1245
1	201
0	62

prune205.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.253) (* (sqrt 0.12) (* x (* (sqrt 0.12) x))))
0.1b	(* (sqrt 0.12) x)
0.2b	(* x (* (sqrt 0.12) x))
0.2b	(* (sqrt 0.12) (* x (* (sqrt 0.12) x)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

9.0ms	(+ (* x 0.253) (* (sqrt 0.12) (* x (* (sqrt 0.12) x))))
8.0ms	(* (sqrt 0.12) x)
16.0ms	(* x (* (sqrt 0.12) x))
96.0ms	(* (sqrt 0.12) (* x (* (sqrt 0.12) x)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (* x 0.253) (* (sqrt 0.12) (* x (* (sqrt 0.12) x))))
60.0ms	(* (sqrt 0.12) x)
74.0ms	(* x (* (sqrt 0.12) x))
125.0ms	(* (sqrt 0.12) (* x (* (sqrt 0.12) x)))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1547
1	272
0	103

prune428.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes71.0ms

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	12
1	12
0	10

end0.0ms

sample710.0ms

Algorithm

intervals

Results

466.0ms

10612×

body

valid