Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

281×

body

valid

simplify107.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	144
6	144
5	142
4	102
3	67
2	40
1	21
0	9

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize28.0ms

Local error

Found 2 expressions with local error:

2.6b	(* y (+ 1.0 (* z z)))
4.3b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

13.0ms	(* y (+ 1.0 (* z z)))
17.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series179.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* y (+ 1.0 (* z z)))
106.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	2244
1	443
0	160

prune579.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

2.6b	(* y (fma z z 1.0))
4.3b	(/ (/ 1.0 x) (* y (fma z z 1.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 70

Calls

2 calls:

11.0ms	(* y (fma z z 1.0))
25.0ms	(/ (/ 1.0 x) (* y (fma z z 1.0)))

series197.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* y (fma z z 1.0))
116.0ms	(/ (/ 1.0 x) (* y (fma z z 1.0)))

simplify1.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1577
1	361
0	150

prune358.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (/ 1.0 x) (* (* (cbrt (* y (fma z z 1.0))) (cbrt (* y (fma z z 1.0)))) (cbrt (* y (fma z z 1.0)))))
17.3b	(cbrt (* y (fma z z 1.0)))
17.3b	(cbrt (* y (fma z z 1.0)))
17.3b	(cbrt (* y (fma z z 1.0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
25×	`add-exp-log`
18×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `div-inv`
1×	`clear-num` `associate-/r*` `frac-2neg` `associate-/l/`

Counts

4 → 85

Calls

4 calls:

36.0ms	(/ (/ 1.0 x) (* (* (cbrt (* y (fma z z 1.0))) (cbrt (* y (fma z z 1.0)))) (cbrt (* y (fma z z 1.0)))))
3.0ms	(cbrt (* y (fma z z 1.0)))
3.0ms	(cbrt (* y (fma z z 1.0)))
3.0ms	(cbrt (* y (fma z z 1.0)))

series990.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(/ (/ 1.0 x) (* (* (cbrt (* y (fma z z 1.0))) (cbrt (* y (fma z z 1.0)))) (cbrt (* y (fma z z 1.0)))))
313.0ms	(cbrt (* y (fma z z 1.0)))
243.0ms	(cbrt (* y (fma z z 1.0)))
280.0ms	(cbrt (* y (fma z z 1.0)))

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1916
1	475
0	179

prune633.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (/ 1.0 x) (* y (fma z z 1.0)))
18.1b	(cbrt (/ (/ 1.0 x) (* y (fma z z 1.0))))
18.1b	(cbrt (/ (/ 1.0 x) (* y (fma z z 1.0))))
18.1b	(cbrt (/ (/ 1.0 x) (* y (fma z z 1.0))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
51×	`cbrt-prod`
42×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
9×	`div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3`
2×	`prod-exp` `cbrt-unprod`
1×	`clear-num` `associate-/r*` `frac-2neg` `associate-/l/`

Counts

4 → 132

Calls

4 calls:

18.0ms	(/ (/ 1.0 x) (* y (fma z z 1.0)))
9.0ms	(cbrt (/ (/ 1.0 x) (* y (fma z z 1.0))))
9.0ms	(cbrt (/ (/ 1.0 x) (* y (fma z z 1.0))))
9.0ms	(cbrt (/ (/ 1.0 x) (* y (fma z z 1.0))))

series654.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (/ 1.0 x) (* y (fma z z 1.0)))
182.0ms	(cbrt (/ (/ 1.0 x) (* y (fma z z 1.0))))
200.0ms	(cbrt (/ (/ 1.0 x) (* y (fma z z 1.0))))
188.0ms	(cbrt (/ (/ 1.0 x) (* y (fma z z 1.0))))

simplify1.4s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
2	1651
1	423
0	194

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes409.0ms

Accuracy

79.6% (1.2b remaining)

Error of 1.6b against oracle of 0.4b and baseline of 6.3b

bsearch139.0ms

Steps

Iters	Range		Point
11	1.8858956155785848e-06	3.0706563307201483e+25	350365031.3388729
10	-4.443121922382094e+57	-1.1469505295114518e+44	-1.7505766744861402e+57

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample732.0ms

Algorithm

intervals

Results

496.0ms

8602×

body

valid