Details

sample93.0ms

Algorithm

intervals

Results

24.0ms	31×	body	1280	valid
18.0ms	210×	body	80	valid
15.0ms	33×	body	640	valid
6.0ms	95×	body	80	nan
4.0ms	12×	body	320	valid
2.0ms	10×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	343
1	18	343
2	27	343
3	54	343
4	152	343
5	507	343
6	2094	343
done	5001	343

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
7.6b	(log (/ y (+ z y)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 140

Calls

4 calls:

115.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
22.0ms	(/ y (+ z y))
31.0ms	(* y (log (/ y (+ z y))))
10.0ms	(log (/ y (+ z y)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
59.0ms	(/ y (+ z y))
123.0ms	(* y (log (/ y (+ z y))))
75.0ms	(log (/ y (+ z y)))

simplify1.5s

Counts

152 → 152

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	207	49043
1	465	45187
2	1335	44736
done	5001	44696

prune981.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp 0) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

18.0ms

(+ x (/ (exp 0) y))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ x (/ (exp 0) y))

simplify2.1s

Counts

20 → 20

Iterations

Useful iterations: 3 (686.0ms)

Iter	Nodes	Cost
0	32	4005
1	84	2559
2	320	2534
3	2442	2509
done	5001	2509

prune117.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (- z)) y))
0.0b	(/ (exp (- z)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `fma-def` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `associate-/l/`
1×	`neg-sub0` `exp-neg` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 48

Calls

2 calls:

11.0ms	(+ x (/ (exp (- z)) y))
11.0ms	(/ (exp (- z)) y)

series53.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (/ (exp (- z)) y))
27.0ms	(/ (exp (- z)) y)

simplify934.0ms

Counts

54 → 54

Iterations

Useful iterations: done (931.0ms)

Iter	Nodes	Cost
0	89	13952
1	200	12960
2	747	12746
done	5000	12666

prune317.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.5b	(cbrt (+ z y))
0.6b	(* (cbrt (+ z y)) (cbrt (+ z y)))
30.4b	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`log-prod`
107×	`*-un-lft-identity`
102×	`cbrt-div`
92×	`cbrt-prod`
67×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
58×	`associate-/r/`
51×	`flip3-+` `flip-+`
32×	`frac-times`
23×	`distribute-lft-out`
16×	`associate-l/` `associate-r/` `add-exp-log`
12×	`pow1`
9×	`swap-sqr`
8×	`pow1/3` `div-inv`
7×	`associate-r` `associate-l`
5×	`div-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-div` `pow-plus` `log-pow` `*-commutative` `cbrt-unprod`

Counts

4 → 213

Calls

4 calls:

3.0ms	(cbrt (+ z y))
3.0ms	(cbrt (+ z y))
30.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
39.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

series766.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt (+ z y))
196.0ms	(cbrt (+ z y))
270.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
100.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

simplify2.8s

Counts

225 → 225

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	445	154042
1	1058	129814
2	4004	128327
done	5000	128205

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes167.0ms

Accuracy

67.6% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.2b

bsearch55.0ms

Steps

Iters	Range		Point
9	17717782.309850607	12913262010494.463	18035828.612908237

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	555
1	19	485
done	19	485

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	6571×	body	80	valid
714.0ms	742×	body	1280	valid
399.0ms	943×	body	640	valid
237.0ms	550×	body	320	valid
189.0ms	3033×	body	80	nan
59.0ms	338×	body	160	valid