Details

sample147.0ms

Algorithm

intervals

Results

72.0ms	750×	body	80	nan
15.0ms	190×	body	80	valid
8.0ms	8×	body	1280	valid
7.0ms	17×	body	640	valid
6.0ms	22×	body	320	valid
4.0ms	21×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2731
6	1183
5	592
4	287
3	116
2	49
1	26
0	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize26.0ms

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))
7.5b	(log (- 1.0 y))

rewrite104.0ms

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` `add-cbrt-cube` `associate-r`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `insert-posit16` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sum-log` `sub-neg` `rem-log-exp` `associate--l+`

Counts

4 → 98

Calls

4 calls:

20.0ms	(* (- z 1.0) (log (- 1.0 y)))
59.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
20.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series403.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- z 1.0) (log (- 1.0 y)))
237.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
60.0ms	(* (- x 1.0) (log y))
49.0ms	(log (- 1.0 y))

simplify1.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	1500
1	536
0	235

prune631.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

132×	`associate-*l/`
91×	`flip3--` `flip--`
66×	`frac-times`
54×	`frac-sub`
52×	`frac-add`
42×	`associate-*r/`
33×	`associate--l+`
26×	`add-sqr-sqrt`
24×	`log-prod`
22×	`*-un-lft-identity`
20×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cube-cbrt`
14×	`associate-+r+`
11×	`add-log-exp`
10×	`associate-l`
9×	`pow1` `sub-neg`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`associate-+l+`
4×	`insert-posit16`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `log-pow` `flip-+`

Counts

4 → 192

Calls

4 calls:

158.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))) t)
67.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
96.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
21.0ms	(* (- x 1.0) (log y))

series596.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))) t)
153.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
88.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
86.0ms	(* (- x 1.0) (log y))

simplify2.3s

Counts

204 → 204

Iterations

Iter	Nodes
done	5001
1	1475
0	511

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (+ (* (- (log 1.0) (* 1.0 y)) (- z 1.0)) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))))
0.0b	(+ (* (- (log 1.0) (* 1.0 y)) (- z 1.0)) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2)))
0.1b	(* (- x 1.0) (log y))
6.6b	(* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

598×	`associate-*l/`
444×	`frac-add`
389×	`flip3--` `flip--`
357×	`frac-times`
216×	`associate-*r/`
31×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
16×	`pow1` `prod-exp` `cbrt-unprod`
15×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-cube-cbrt` `add-log-exp`
10×	`associate-+l+` `associate-l`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow-prod-down`
5×	`associate-r`
4×	`cbrt-undiv` `sum-log` `flip3-+` `div-exp` `flip-+` `insert-posit16`
2×	`+-commutative` `sub-neg` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`associate-+r+` `log-pow` `unswap-sqr`

Counts

4 → 375

Calls

4 calls:

75.0ms	(+ (* (- x 1.0) (log y)) (+ (* (- (log 1.0) (* 1.0 y)) (- z 1.0)) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))))
45.0ms	(+ (* (- (log 1.0) (* 1.0 y)) (- z 1.0)) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2)))
21.0ms	(* (- x 1.0) (log y))
126.0ms	(* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))

series426.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ (* (- x 1.0) (log y)) (+ (* (- (log 1.0) (* 1.0 y)) (- z 1.0)) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))))
78.0ms	(+ (* (- (log 1.0) (* 1.0 y)) (- z 1.0)) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2)))
88.0ms	(* (- x 1.0) (log y))
72.0ms	(* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))

simplify3.9s

Counts

387 → 387

Iterations

Iter	Nodes
done	5005
1	4422
0	1200

prune3.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

344.0ms	(* (cbrt y) (cbrt y))
301.0ms	(cbrt y)
291.0ms	(cbrt y)
303.0ms	(cbrt y)

simplify3.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
4	3895
3	1039
2	380
1	138
0	63

prune634.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes394.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	33
1	33
0	26

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.8s	23832×	body	80	nan
1.0s	5868×	body	80	valid
420.0ms	778×	body	640	valid
233.0ms	682×	body	320	valid
219.0ms	253×	body	1280	valid
129.0ms	445×	body	160	valid