Details

sample219.0ms

Algorithm

intervals

Results

101.0ms	784×	body	80	nan
19.0ms	37×	body	640	valid
16.0ms	173×	body	80	valid
12.0ms	14×	body	1280	valid
7.0ms	21×	body	320	valid
2.0ms	14×	body	160	valid

simplify770.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	345
1	21	345
2	30	345
3	38	345
4	44	345
5	59	345
6	90	345
7	187	345
8	618	345
done	5001	345

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
6.8b	(log (- 1.0 y))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

26.0ms	(* z (log (- 1.0 y)))
64.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
11.0ms	(* x (log y))
4.0ms	(log (- 1.0 y))

series358.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* z (log (- 1.0 y)))
141.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
58.0ms	(* x (log y))
45.0ms	(log (- 1.0 y))

simplify1.4s

Counts

98 → 98

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	209	30162
1	470	26976
2	1460	26368
done	5000	26018

prune689.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))))) t)
0.3b	(* x (log y))
0.3b	(* (/ 1.0 y) (/ 1.0 y))
0.7b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
43×	`times-frac`
40×	`*-un-lft-identity`
38×	`add-cube-cbrt`
36×	`add-cbrt-cube` `add-exp-log`
17×	`associate-r`
16×	`associate-l`
14×	`pow1`
13×	`cbrt-undiv` `swap-sqr` `div-exp`
9×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`log-prod`
5×	`div-inv` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `associate-/l*`
2×	`frac-times` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`
1×	`pow2` `clear-num` `associate-/r*` `sum-log` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `associate--l+` `pow-sqr` `log-pow` `pow-prod-up` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 138

Calls

4 calls:

56.0ms	(- (+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))))) t)
13.0ms	(* x (log y))
38.0ms	(* (/ 1.0 y) (/ 1.0 y))
32.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(- (+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))))) t)
55.0ms	(* x (log y))
35.0ms	(* (/ 1.0 y) (/ 1.0 y))
39.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify3.3s

Counts

150 → 150

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	247	40544
1	720	35714
2	3929	34389
done	5001	34149

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
31.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series880.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt y)
343.0ms	(cbrt y)
250.0ms	(cbrt y)
28.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify957.0ms

Counts

75 → 75

Iterations

Useful iterations: done (937.0ms)

Iter	Nodes	Cost
0	93	15860
1	237	13101
2	941	12504
done	5000	11982

prune719.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))
5.1b	(pow y 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
22×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-undiv` `div-exp`
6×	`cbrt-prod`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `times-frac` `associate-/r/` `associate-/l*`
2×	`pow1/3`
1×	`frac-times` `pow-to-exp` `clear-num` `associate-/r` `pow-pow` `frac-2neg` `unpow1/3` `associate-l/` `pow-exp` `associate-*r/` `div-inv` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
19.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))
2.0ms	(pow y 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

577.0ms	(cbrt y)
355.0ms	(cbrt y)
48.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))
260.0ms	(pow y 1/3)

simplify1.1s

Counts

82 → 82

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	120	19091
1	325	14309
2	1245	13909
done	5000	13198

prune739.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes457.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	546
1	22	546
done	22	546

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.4s	23912×	body	80	nan
1.1s	5501×	body	80	valid
473.0ms	875×	body	640	valid
374.0ms	407×	body	1280	valid
222.0ms	762×	body	320	valid
92.0ms	494×	body	160	valid