Details

sample101.0ms

Algorithm

intervals

Results

31.0ms	45×	body	1280	valid
19.0ms	50×	body	640	valid
11.0ms	158×	body	80	valid
8.0ms	30×	body	320	valid
5.0ms	104×	body	80	nan
2.0ms	13×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1961
5	488
4	149
3	52
2	24
1	15
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* x (log (/ x (+ x y))))) x)
0.0b	(exp (* x (log (/ x (+ x y)))))
0.1b	(* x (log (/ x (+ x y))))
8.1b	(log (/ x (+ x y)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

273×	`times-frac`
234×	`log-prod`
232×	`*-un-lft-identity`
180×	`exp-sum`
156×	`add-sqr-sqrt`
154×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
39×	`distribute-lft-out` `associate-/l*`
26×	`associate-/r/`
14×	`div-inv`
13×	`flip3-+` `flip-+`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`associate-r`
3×	`associate-/r` `associate-l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 301

Calls

4 calls:

61.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
26.0ms	(exp (* x (log (/ x (+ x y)))))
20.0ms	(* x (log (/ x (+ x y))))
5.0ms	(log (/ x (+ x y)))

series705.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
344.0ms	(exp (* x (log (/ x (+ x y)))))
99.0ms	(* x (log (/ x (+ x y))))
72.0ms	(log (/ x (+ x y)))

simplify1.8s

Counts

313 → 313

Iterations

Iter	Nodes
done	5000
2	3152
1	889
0	472

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (exp x) (log (/ x (+ x y)))) x)
0.1b	(pow (exp x) (log (/ x (+ x y))))
8.1b	(log (/ x (+ x y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
124×	`*-un-lft-identity`
108×	`log-prod`
90×	`unpow-prod-up`
88×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
18×	`distribute-lft-out`
15×	`unpow-prod-down`
12×	`associate-/r/`
10×	`add-exp-log`
7×	`div-inv`
6×	`pow1` `flip3-+` `flip-+`
5×	`add-cbrt-cube` `sqr-pow`
4×	`pow-unpow` `pow-pow` `div-exp`
3×	`log-div` `exp-prod` `associate-/r*` `add-log-exp`
2×	`pow-to-exp` `rem-log-exp` `pow-exp` `log-pow` `pow-sub`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-/l/`

Counts

3 → 187

Calls

3 calls:

33.0ms	(/ (pow (exp x) (log (/ x (+ x y)))) x)
17.0ms	(pow (exp x) (log (/ x (+ x y))))
5.0ms	(log (/ x (+ x y)))

series494.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(/ (pow (exp x) (log (/ x (+ x y)))) x)
265.0ms	(pow (exp x) (log (/ x (+ x y))))
71.0ms	(log (/ x (+ x y)))

simplify1.4s

Counts

196 → 196

Iterations

Iter	Nodes
done	5000
2	2800
1	681
0	318

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
8.1b	(log (/ x (+ x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(log (/ x (+ x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

322.0ms	(cbrt x)
315.0ms	(cbrt x)
319.0ms	(cbrt x)
93.0ms	(log (/ x (+ x y)))

simplify1.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	2019
2	474
1	195
0	101

prune472.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.9b	(pow (/ (cbrt x) (cbrt (+ y x))) x)
1.6b	(pow (* (/ (cbrt x) (cbrt (+ y x))) (/ (cbrt x) (cbrt (+ y x)))) x)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-prod`
49×	`unpow-prod-down`
47×	`*-un-lft-identity`
42×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
13×	`pow1`
7×	`pow-pow` `pow-exp`
6×	`pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`add-cbrt-cube` `prod-exp` `add-log-exp`
2×	`pow-to-exp` `cbrt-div` `pow1/3` `associate-/r/` `sqr-pow`
1×	`pow2` `flip3-+` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+` `div-inv`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
27.0ms	(pow (/ (cbrt x) (cbrt (+ y x))) x)
21.0ms	(pow (* (/ (cbrt x) (cbrt (+ y x))) (/ (cbrt x) (cbrt (+ y x)))) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt x)
251.0ms	(cbrt x)
412.0ms	(pow (/ (cbrt x) (cbrt (+ y x))) x)
475.0ms	(pow (* (/ (cbrt x) (cbrt (+ y x))) (/ (cbrt x) (cbrt (+ y x)))) x)

simplify1.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	2573
1	795
0	255

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

97.7% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 5.9b

bsearch148.0ms

Steps

Iters	Range		Point
9	7.46228068957284e-06	5.1212688054922095	3.9190130617913064
9	-5.514259056545185e+66	-1.3541699186634741e+60	-1.8247882343221416e+60

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.2s	1516×	body	1280	valid
1.2s	1507×	body	640	valid
390.0ms	4807×	body	80	valid
302.0ms	845×	body	320	valid
204.0ms	3070×	body	80	nan
102.0ms	406×	body	160	valid