Details

sample72.0ms

Algorithm

intervals

Results

18.0ms	31×	body	1280	valid
14.0ms	210×	body	80	valid
13.0ms	33×	body	640	valid
5.0ms	95×	body	80	nan
3.0ms	12×	body	320	valid
2.0ms	10×	body	160	valid

simplify1.5s

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	150	343
5	483	343
6	1983	343
done	5000	343

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize30.0ms

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)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`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×	`associate-/r` `associate-r*` `div-inv`
3×	`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 → 129

Calls

4 calls:

103.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
17.0ms	(/ y (+ z y))
23.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
56.0ms	(/ y (+ z y))
96.0ms	(* y (log (/ y (+ z y))))
65.0ms	(log (/ y (+ z y)))

simplify1.1s

Counts

141 → 141

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	199	46865
1	451	43109
2	1297	42783
done	5001	42743

prune797.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

16.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify2.1s

Counts

15 → 15

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	30	3539
1	80	2258
2	352	2258
3	2966	2258
done	5000	2258

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `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 → 41

Calls

2 calls:

42.0ms	(+ (/ (exp (- z)) y) x)
24.0ms	(/ (exp (- z)) y)

series116.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(+ (/ (exp (- z)) y) x)
39.0ms	(/ (exp (- z)) y)

simplify1.1s

Counts

47 → 47

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	87	13327
1	198	12409
2	823	12220
done	5000	12140

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize51.0ms

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))))

rewrite142.0ms

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×	`add-cbrt-cube` `rem-log-exp` `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 → 205

Calls

4 calls:

6.0ms	(cbrt (+ z y))
6.0ms	(cbrt (+ z y))
60.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
46.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

series746.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (+ z y))
183.0ms	(cbrt (+ z y))
265.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
110.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

simplify2.6s

Counts

217 → 217

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	439	151966
1	1048	128763
2	4024	128451
done	5001	128451

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes175.0ms

Accuracy

67.6% (0.7b remaining)

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

bsearch82.0ms

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

sample3.0s

Algorithm

intervals

Results

1.1s	6571×	body	80	valid
600.0ms	742×	body	1280	valid
439.0ms	943×	body	640	valid
222.0ms	3033×	body	80	nan
180.0ms	550×	body	320	valid
60.0ms	338×	body	160	valid