Details

sample74.0ms

Algorithm

intervals

Results

15.0ms	215×	body	80	valid
11.0ms	19×	body	1280	valid
11.0ms	29×	body	640	valid
5.0ms	87×	body	80	nan
4.0ms	14×	body	320	valid
2.0ms	11×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1851
6	540
5	215
4	92
3	44
2	25
1	18
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize20.0ms

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))))
8.1b	(log (/ y (+ z y)))

rewrite154.0ms

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:

85.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
20.0ms	(/ y (+ z y))
34.0ms	(* y (log (/ y (+ z y))))
10.0ms	(log (/ y (+ z y)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
53.0ms	(/ y (+ z y))
108.0ms	(* y (log (/ y (+ z y))))
61.0ms	(log (/ y (+ z y)))

simplify2.5s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
3	4678
2	1050
1	449
0	199

prune724.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
3.1b	(log (/ (cbrt y) (cbrt (+ z y))))
3.1b	(log (/ (cbrt y) (cbrt (+ z y))))
3.1b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
138×	`cbrt-prod`
126×	`times-frac`
122×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
7×	`pow1`
6×	`cbrt-div` `rem-log-exp` `associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 188

Calls

4 calls:

1.0ms	(cbrt y)
12.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
11.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
13.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series576.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt y)
112.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
84.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
104.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.1s

Counts

200 → 200

Iterations

Iter	Nodes
done	5017
4	4066
3	1461
2	546
1	318
0	173

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:

33.0ms	(+ (/ (exp (- z)) y) x)
12.0ms	(/ (exp (- z)) y)

series68.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (/ (exp (- z)) y) x)
22.0ms	(/ (exp (- z)) y)

simplify2.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	5017
3	2527
2	600
1	198
0	87

prune234.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ (sqrt (exp (- z))) (cbrt y)) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

492×	`times-frac`
264×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
258×	`cbrt-prod`
126×	`sqrt-prod`
40×	`associate-/l*`
9×	`add-exp-log`
8×	`div-inv`
6×	`associate-/r*` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 334

Calls

4 calls:

35.0ms	(/ (/ (sqrt (exp (- z))) (cbrt y)) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series897.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (/ (sqrt (exp (- z))) (cbrt y)) (cbrt y))
242.0ms	(cbrt y)
268.0ms	(cbrt y)
237.0ms	(cbrt y)

simplify1.8s

Counts

346 → 346

Iterations

Iter	Nodes
done	5000
2	1964
1	937
0	417

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.2s

Algorithm

intervals

Results

707.0ms	3021×	body	80	nan
627.0ms	6550×	body	80	valid
569.0ms	792×	body	1280	valid
435.0ms	901×	body	640	valid
208.0ms	576×	body	320	valid
56.0ms	296×	body	160	valid