Details

sample211.0ms

Algorithm

intervals

Results

61.0ms	784×	body	80	nan
18.0ms	37×	body	640	valid
15.0ms	173×	body	80	valid
10.0ms	14×	body	1280	valid
7.0ms	21×	body	320	valid
2.0ms	14×	body	160	valid

simplify730.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize27.0ms

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))

rewrite89.0ms

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:

17.0ms	(* z (log (- 1.0 y)))
49.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
12.0ms	(* x (log y))
8.0ms	(log (- 1.0 y))

series316.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* z (log (- 1.0 y)))
122.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
64.0ms	(* x (log y))
52.0ms	(log (- 1.0 y))

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1460
1	470
0	209

prune720.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

115.0ms	(* z (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
22.0ms	(+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
67.0ms	(- (+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))) t)
7.0ms	(* x (log y))

series616.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* z (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
166.0ms	(+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
257.0ms	(- (+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))) t)
58.0ms	(* x (log y))

simplify1.9s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2120
1	601
0	247

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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` `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)

series1.2s

Counts

4 → 12

Calls

4 calls:

319.0ms	(* (cbrt y) (cbrt y))
298.0ms	(cbrt y)
278.0ms	(cbrt y)
287.0ms	(cbrt y)

simplify1.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune820.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (pow y 2/3)) x)
0.3b	(* (log (cbrt y)) x)
0.7b	(cbrt y)
6.0b	(pow y 2/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-l` `add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-r`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-unpow` `unpow-prod-down` `log-pow`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

7.0ms	(* (log (pow y 2/3)) x)
8.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
4.0ms	(pow y 2/3)

series842.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (log (pow y 2/3)) x)
157.0ms	(* (log (cbrt y)) x)
284.0ms	(cbrt y)
260.0ms	(pow y 2/3)

simplify1.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	1176
1	270
0	118

prune805.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes533.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	24

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.4s	23912×	body	80	nan
1.1s	5501×	body	80	valid
549.0ms	875×	body	640	valid
398.0ms	407×	body	1280	valid
250.0ms	762×	body	320	valid
91.0ms	494×	body	160	valid