Details

sample45.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify62.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	75
4	75
3	69
2	51
1	28
0	14

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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)))
15.3b	(/ (+ 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:

9.0ms	(+ 0.99229 (* x 0.04481))
9.0ms	(+ 2.30753 (* x 0.27061))
12.0ms	(* x (+ 0.99229 (* x 0.04481)))
29.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ 0.99229 (* x 0.04481))
41.0ms	(+ 2.30753 (* x 0.27061))
113.0ms	(* x (+ 0.99229 (* x 0.04481)))
109.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1549
1	442
0	163

prune585.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt x) (cbrt x)) (* (fma x 0.04481 0.99229) (cbrt x)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
45.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt x) (cbrt x)) (* (fma x 0.04481 0.99229) (cbrt x)))))

series991.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt x)
320.0ms	(cbrt x)
295.0ms	(cbrt x)
122.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt x) (cbrt x)) (* (fma x 0.04481 0.99229) (cbrt x)))))

simplify2.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	4395
2	1037
1	300
0	121

prune523.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

15.3b	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
15.3b	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
15.3b	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
19.3b	(cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 106

Calls

4 calls:

4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
35.0ms	(cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
99.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
104.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
90.0ms	(cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))))

simplify1.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
3	1227
2	432
1	188
0	107

prune896.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* x (fma x 0.04481 0.99229))))))
0.0b	(exp (* x (fma x 0.04481 0.99229)))
0.1b	(* x (fma x 0.04481 0.99229))
3.1b	(log (exp (* x (fma x 0.04481 0.99229))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`times-frac`
11×	`pow1`
8×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
7×	`log-pow` `add-log-exp`
6×	`fma-udef`
5×	`log-prod` `associate-/r*`
4×	`expm1-log1p-u` `exp-sum` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `associate-/l*`
2×	`exp-prod` `flip3-+` `exp-to-pow` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr` `rem-exp-log`

Counts

4 → 95

Calls

4 calls:

41.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* x (fma x 0.04481 0.99229))))))
3.0ms	(exp (* x (fma x 0.04481 0.99229)))
5.0ms	(* x (fma x 0.04481 0.99229))
3.0ms	(log (exp (* x (fma x 0.04481 0.99229))))

series347.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* x (fma x 0.04481 0.99229))))))
49.0ms	(exp (* x (fma x 0.04481 0.99229)))
100.0ms	(* x (fma x 0.04481 0.99229))
88.0ms	(log (exp (* x (fma x 0.04481 0.99229))))

simplify2.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	4147
2	1067
1	371
0	167

prune649.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

999.0ms

8000×

body

valid