Details

sample49.0ms

Algorithm

intervals

Results

10.0ms	218×	body	80	valid
9.0ms	34×	body	640	valid
8.0ms	18×	body	1280	valid
4.0ms	23×	body	320	valid
3.0ms	83×	body	80	nan
1.0ms	11×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	54	11
4	110	11
5	283	11
6	658	11
7	3378	11
done	5000	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* y (log (/ y (+ z y)))))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
8.5b	(log (/ y (+ z y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`associate-r` `associate-/r*`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

10.0ms	(exp (* y (log (/ y (+ z y)))))
5.0ms	(/ y (+ z y))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(exp (* y (log (/ y (+ z y)))))
38.0ms	(/ y (+ z y))
73.0ms	(* y (log (/ y (+ z y))))
49.0ms	(log (/ y (+ z y)))

simplify648.0ms

Counts

175 → 175

Iterations

Useful iterations: 2 (155.0ms)

Iter	Nodes	Cost
0	248	2517
1	527	2230
2	1859	2108
done	5001	2108

prune354.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp y) (log (/ y (+ z y)))) y)
0.0b	(/ y (+ z y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
8.5b	(log (/ y (+ z y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
142×	`*-un-lft-identity`
108×	`log-prod`
98×	`add-sqr-sqrt` `add-cube-cbrt`
90×	`unpow-prod-up`
28×	`associate-/l*`
22×	`distribute-lft-out`
15×	`unpow-prod-down`
14×	`associate-/r/`
13×	`add-exp-log`
8×	`add-cbrt-cube` `div-inv`
7×	`pow1` `flip3-+` `associate-/r*` `flip-+`
5×	`div-exp` `sqr-pow`
4×	`pow-unpow` `pow-pow` `add-log-exp`
3×	`log-div` `exp-prod`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `rem-log-exp` `pow-exp` `clear-num` `log-pow` `pow-sub`
1×	`associate-/l/`

Counts

4 → 220

Calls

4 calls:

18.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
8.0ms	(/ y (+ z y))
6.0ms	(pow (exp y) (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
43.0ms	(/ y (+ z y))
136.0ms	(pow (exp y) (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify1.0s

Counts

232 → 232

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	331	4057
1	677	3817
2	2709	3681
done	5000	3681

prune670.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
8.5b	(log (/ y (+ z y)))

rewrite7.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
4.0ms	(log (/ y (+ z y)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
186.0ms	(cbrt y)
179.0ms	(cbrt y)
49.0ms	(log (/ y (+ z y)))

simplify608.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	101	558
1	188	524
2	414	481
3	1277	463
done	5001	463

prune241.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`pow1` `cbrt-undiv` `neg-sub0` `exp-neg` `frac-2neg` `exp-diff` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/ (exp (- z)) y)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(/ (exp (- z)) y)

simplify952.0ms

Counts

32 → 32

Iterations

Useful iterations: 3 (158.0ms)

Iter	Nodes	Cost
0	64	299
1	118	289
2	376	269
3	1830	267
done	5000	267

prune67.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	16	20
done	16	20

end0.0ms

sample1.4s

Algorithm

intervals

Results

353.0ms	782×	body	1280	valid
310.0ms	6526×	body	80	valid
256.0ms	959×	body	640	valid
98.0ms	2993×	body	80	nan
88.0ms	513×	body	320	valid
35.0ms	304×	body	160	valid