Details

sample97.0ms

Algorithm

intervals

Results

28.0ms	194×	body	80	valid
19.0ms	27×	body	1280	valid
12.0ms	31×	body	640	valid
6.0ms	107×	body	80	nan
5.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	55	11
4	152	11
5	489	11
6	1976	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
5.4b	(log (/ y (+ z y)))

rewrite217.0ms

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` `associate-/r/` `add-cbrt-cube`
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` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

21.0ms	(/ y (+ z y))
142.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
34.0ms	(* y (log (/ y (+ z y))))
9.0ms	(log (/ y (+ z y)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ y (+ z y))
99.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
129.0ms	(* y (log (/ y (+ z y))))
94.0ms	(log (/ y (+ z y)))

simplify1.1s

Counts

141 → 141

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	199	1893
1	451	1790
2	1298	1645
done	5001	1600

prune452.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.4b	(log (/ (cbrt y) (cbrt (+ z y))))
2.4b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
15.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series822.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(cbrt y)
284.0ms	(cbrt y)
108.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
128.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.4s

Counts

152 → 152

Iterations

Useful iterations: 3 (462.0ms)

Iter	Nodes	Cost
0	173	2258
1	318	2100
2	784	2014
3	3164	1940
done	5002	1940

prune637.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (- z)) y))
0.2b	(/ (exp (- z)) y)

rewrite47.0ms

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×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

17.0ms	(+ x (/ (exp (- z)) y))
28.0ms	(/ (exp (- z)) y)

series67.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ x (/ (exp (- z)) y))
26.0ms	(/ (exp (- z)) y)

simplify622.0ms

Counts

47 → 47

Iterations

Useful iterations: done (620.0ms)

Iter	Nodes	Cost
0	85	468
1	192	441
2	713	414
done	5000	412

prune134.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ (exp (- z)) (sqrt y)) (sqrt y)))
0.1b	(/ (exp (- z)) (sqrt y))
0.1b	(/ (/ (exp (- z)) (sqrt y)) (sqrt y))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
157×	`*-un-lft-identity`
155×	`add-sqr-sqrt` `add-cube-cbrt`
144×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
10×	`add-cbrt-cube`
9×	`div-inv`
8×	`add-exp-log`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `neg-sub0` `exp-neg` `flip3-+` `exp-diff` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 228

Calls

3 calls:

67.0ms	(+ x (/ (/ (exp (- z)) (sqrt y)) (sqrt y)))
16.0ms	(/ (exp (- z)) (sqrt y))
32.0ms	(/ (/ (exp (- z)) (sqrt y)) (sqrt y))

series174.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ x (/ (/ (exp (- z)) (sqrt y)) (sqrt y)))
78.0ms	(/ (exp (- z)) (sqrt y))
46.0ms	(/ (/ (exp (- z)) (sqrt y)) (sqrt y))

simplify1.7s

Counts

237 → 237

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	310	4564
1	765	3959
2	3719	3736
done	5000	3656

prune699.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes118.0ms

Accuracy

8.6% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.2b

bsearch77.0ms

Steps

Iters	Range		Point
8	6.708811424281629e-42	2.878149790245363e-37	2.8217207455530354e-37

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	37
1	28	37
done	28	37

end0.0ms

sample3.4s

Algorithm

intervals

Results

735.0ms	3036×	body	80	nan
682.0ms	6484×	body	80	valid
649.0ms	817×	body	1280	valid
392.0ms	879×	body	640	valid
240.0ms	592×	body	320	valid
89.0ms	321×	body	160	valid