Details

sample178.0ms

Algorithm

intervals

Results

63.0ms	684×	body	80	nan
16.0ms	185×	body	80	valid
11.0ms	26×	body	640	valid
10.0ms	10×	body	1280	valid
6.0ms	20×	body	320	valid
3.0ms	15×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	26	17
2	49	17
3	117	17
4	346	17
5	1391	17
6	4731	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
5.0b	(log (- 1.0 y))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 94

Calls

4 calls:

45.0ms	(* (- z 1.0) (log (- 1.0 y)))
135.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
55.0ms	(* (- x 1.0) (log y))
9.0ms	(log (- 1.0 y))

series461.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- z 1.0) (log (- 1.0 y)))
229.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
79.0ms	(* (- x 1.0) (log y))
85.0ms	(log (- 1.0 y))

simplify1.3s

Counts

106 → 106

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	231	1491
1	531	1443
2	2149	1283
done	5002	1265

prune573.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b	(* (- x 1.0) (log y))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
80×	`times-frac`
72×	`associate-r`
56×	`unpow-prod-down`
50×	`*-un-lft-identity`
46×	`add-cube-cbrt`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
22×	`flip3--` `associate-*l/` `flip--`
18×	`log-prod` `unswap-sqr`
16×	`frac-add`
11×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `add-cbrt-cube` `add-log-exp`
10×	`associate-+r+`
9×	`pow1` `div-exp`
8×	`frac-times` `associate-l`
7×	`associate--l+`
6×	`pow-to-exp` `associate-+l+` `pow-exp`
5×	`associate-*r/`
3×	`sub-neg` `cbrt-unprod`
2×	`diff-log` `pow-prod-down` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `log-pow` `flip-+` `div-inv`

Counts

4 → 198

Calls

4 calls:

143.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
65.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
45.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
51.0ms	(* (- x 1.0) (log y))

series852.0ms

Counts

4 → 12

Calls

4 calls:

431.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
82.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
232.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
107.0ms	(* (- x 1.0) (log y))

simplify758.0ms

Counts

210 → 210

Iterations

Useful iterations: done (747.0ms)

Iter	Nodes	Cost
0	477	5346
1	1399	4808
done	5000	4447

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

19.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series987.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(* (cbrt y) (cbrt y))
249.0ms	(cbrt y)
236.0ms	(cbrt y)
223.0ms	(cbrt y)

simplify1.0s

Counts

85 → 85

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune697.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
5.9b	(pow y 2/3)
5.9b	(pow y 2/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `unpow-prod-down` `pow-unpow`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 62

Calls

4 calls:

3.0ms	(cbrt (cbrt y))
3.0ms	(cbrt (cbrt y))
5.0ms	(pow y 2/3)
5.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt (cbrt y))
279.0ms	(cbrt (cbrt y))
260.0ms	(pow y 2/3)
266.0ms	(pow y 2/3)

simplify2.2s

Counts

74 → 74

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	67	452
1	149	414
2	397	388
3	1194	372
4	3853	344
done	5001	344

prune775.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes392.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	53
1	42	53
done	42	53

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.1s	24081×	body	80	nan
649.0ms	5881×	body	80	valid
405.0ms	779×	body	640	valid
273.0ms	271×	body	1280	valid
231.0ms	694×	body	320	valid
73.0ms	407×	body	160	valid