Details

sample142.0ms

Algorithm

intervals

Results

97.0ms	228×	body	10240	exit
11.0ms	192×	body	80	valid
5.0ms	27×	body	320	valid
4.0ms	19×	body	640	valid
3.0ms	24×	body	160	valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (308.0ms)

Iter	Nodes	Cost
0	8	16
1	21	15
2	52	15
3	111	15
4	206	14
5	686	12
6	2789	12
done	5001	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- wj (/ x (exp wj))) (+ 1 wj))
0.3b	(/ x (exp wj))
5.6b	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

177×	`add-sqr-sqrt`
173×	`*-un-lft-identity`
123×	`times-frac`
90×	`prod-diff`
87×	`add-cube-cbrt`
36×	`difference-of-squares`
25×	`distribute-lft-out`
18×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`associate-/r/`
7×	`associate-/r*` `add-cbrt-cube`
6×	`add-exp-log`
5×	`div-inv` `add-log-exp`
4×	`flip3-+` `flip-+`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 193

Calls

3 calls:

73.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
7.0ms	(/ x (exp wj))
103.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
30.0ms	(/ x (exp wj))
83.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

simplify2.3s

Counts

202 → 202

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	331	8699
1	824	7901
2	2232	5818
done	5001	4977

prune517.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune35.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt wj)
0.6b	(cbrt wj)
0.6b	(cbrt wj)
15.2b	(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (/ (+ (/ x (exp wj)) (- wj)) (+ wj 1)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

2.0ms	(cbrt wj)
2.0ms	(cbrt wj)
2.0ms	(cbrt wj)
1.0ms	(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (/ (+ (/ x (exp wj)) (- wj)) (+ wj 1)))

series1.0s

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt wj)
322.0ms	(cbrt wj)
330.0ms	(cbrt wj)
130.0ms	(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (/ (+ (/ x (exp wj)) (- wj)) (+ wj 1)))

simplify1.2s

Counts

61 → 61

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	52	500
1	91	476
2	189	388
3	475	346
4	1577	346
done	5001	346

prune339.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ x (exp wj))
0.6b	(cbrt wj)
0.7b	(pow (cbrt wj) 3)
10.4b	(fma (/ (- wj (/ x (exp wj))) (fma (- wj) wj 1)) (- wj 1) (pow (cbrt wj) 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`pow-pow` `pow1/3`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `frac-2neg` `unpow3` `div-exp` `pow-exp` `clear-num` `fma-udef` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

7.0ms	(/ x (exp wj))
1.0ms	(cbrt wj)
4.0ms	(pow (cbrt wj) 3)
0.0ms	(fma (/ (- wj (/ x (exp wj))) (fma (- wj) wj 1)) (- wj 1) (pow (cbrt wj) 3))

series857.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ x (exp wj))
329.0ms	(cbrt wj)
381.0ms	(pow (cbrt wj) 3)
118.0ms	(fma (/ (- wj (/ x (exp wj))) (fma (- wj) wj 1)) (- wj 1) (pow (cbrt wj) 3))

simplify3.7s

Counts

96 → 96

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	135	877
1	284	708
2	596	636
3	1403	630
4	4751	630
done	5000	629

prune466.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.6b

regimes104.0ms

Accuracy

43.9% (1.0b remaining)

Error of 1.3b against oracle of 0.3b and baseline of 2.1b

bsearch54.0ms

Steps

Iters	Range		Point
7	1.1362596833603348e-09	1.5244367550608482e-07	1.4258272867532584e-07

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	44
1	30	44
done	30	44

end0.0ms

sample6.3s

Algorithm

intervals

Results

4.9s	7477×	body	10240	exit
481.0ms	6222×	body	80	valid
145.0ms	820×	body	320	valid
127.0ms	492×	body	640	valid
63.0ms	547×	body	160	valid