Details

sample33.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify39.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	14	326
1	28	326
2	51	251
3	74	251
4	87	251
done	87	251

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1` `fma-def`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`+-commutative` `sum-log` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

12.0ms	(+ 0.99229 (* x 0.04481))
4.0ms	(+ 2.30753 (* x 0.27061))
13.0ms	(* x (+ 0.99229 (* x 0.04481)))
30.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ 0.99229 (* x 0.04481))
39.0ms	(+ 2.30753 (* x 0.27061))
84.0ms	(* x (+ 0.99229 (* x 0.04481)))
80.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: 2 (555.0ms)

Iter	Nodes	Cost
0	163	28049
1	451	24618
2	2029	20441
done	5000	20441

prune495.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* (cbrt 2.30753) (cbrt 2.30753)) (cbrt 2.30753) (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
1.0b	(* (cbrt 2.30753) (cbrt 2.30753))
13.9b	(/ (fma (* (cbrt 2.30753) (cbrt 2.30753)) (cbrt 2.30753) (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
16×	`cbrt-prod`
13×	`pow1`
10×	`add-exp-log`
9×	`times-frac` `associate-r` `associate-l`
8×	`add-cbrt-cube`
6×	`pow1/3` `swap-sqr`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `associate-/l`
2×	`flip3-+` `prod-exp` `associate-r/` `associate-/r/` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod` `flip-+`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `pow-plus` `div-exp` `fma-udef` `div-inv`

Counts

4 → 107

Calls

4 calls:

0.0ms	(fma (* (cbrt 2.30753) (cbrt 2.30753)) (cbrt 2.30753) (* x 0.27061))
12.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(* (cbrt 2.30753) (cbrt 2.30753))
7.0ms	(/ (fma (* (cbrt 2.30753) (cbrt 2.30753)) (cbrt 2.30753) (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series303.0ms

Counts

4 → 10

Calls

4 calls:

138.0ms	(fma (* (cbrt 2.30753) (cbrt 2.30753)) (cbrt 2.30753) (* x 0.27061))
73.0ms	(* x (+ 0.99229 (* x 0.04481)))
0.0ms	(* (cbrt 2.30753) (cbrt 2.30753))
92.0ms	(/ (fma (* (cbrt 2.30753) (cbrt 2.30753)) (cbrt 2.30753) (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.3s

Counts

117 → 117

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	178	37769
1	427	34346
2	1801	31719
done	5000	24159

prune646.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (cbrt (* 2.30753 2.30753)) (cbrt 2.30753) (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
1.0b	(cbrt (* 2.30753 2.30753))
13.9b	(/ (fma (cbrt (* 2.30753 2.30753)) (cbrt 2.30753) (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`flip3-+` `associate-*r/` `associate-/r/` `flip-+`
1×	`cbrt-prod` `distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `pow1/3` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

0.0ms	(fma (cbrt (* 2.30753 2.30753)) (cbrt 2.30753) (* x 0.27061))
13.0ms	(* x (+ 0.99229 (* x 0.04481)))
3.0ms	(cbrt (* 2.30753 2.30753))
8.0ms	(/ (fma (cbrt (* 2.30753 2.30753)) (cbrt 2.30753) (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series454.0ms

Counts

4 → 10

Calls

4 calls:

142.0ms	(fma (cbrt (* 2.30753 2.30753)) (cbrt 2.30753) (* x 0.27061))
96.0ms	(* x (+ 0.99229 (* x 0.04481)))
0.0ms	(cbrt (* 2.30753 2.30753))
216.0ms	(/ (fma (cbrt (* 2.30753 2.30753)) (cbrt 2.30753) (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.8s

Counts

86 → 86

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	166	37072
1	415	34423
2	1824	31796
done	5000	31636

prune563.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	541
1	22	541
done	22	541

end0.0ms

sample851.0ms

Algorithm

intervals

Results

691.0ms

8000×

body

valid