Details

sample174.0ms

Algorithm

intervals

Results

71.0ms	771×	body	80	nan
19.0ms	186×	body	80	valid
13.0ms	25×	body	640	valid
9.0ms	10×	body	1280	valid
6.0ms	24×	body	320	valid
2.0ms	12×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4417
5	1388
4	401
3	135
2	57
1	27
0	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
0.1b	(* (log y) (- x 1.0))
4.6b	(log (- 1.0 y))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log`
5×	`log-prod` `add-cbrt-cube` `associate-r`
4×	`associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `sub-neg` `flip3--` `associate-*r/` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

1.0ms	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
45.0ms	(* (log y) (- x 1.0))
10.0ms	(log (- 1.0 y))

series448.0ms

Counts

3 → 9

Calls

3 calls:

217.0ms	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
183.0ms	(* (log y) (- x 1.0))
48.0ms	(log (- 1.0 y))

simplify1.7s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2005
1	475
0	202

prune540.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1` `associate-r`
4×	`add-cbrt-cube` `associate-l` `add-exp-log`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

0.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* y 1.0))) (- z 1.0) (* (log y) (- x 1.0)))
25.0ms	(* (log y) (- x 1.0))

series275.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* y 1.0))) (- z 1.0) (* (log y) (- x 1.0)))
157.0ms	(* (log y) (- x 1.0))

simplify1.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1553
1	361
0	155

prune456.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* y 1.0))) (- z 1.0) (+ (* x (log y)) (* (- 1.0) (log y))))
0.0b	(+ (* x (log y)) (* (- 1.0) (log y)))
0.2b	(* x (log y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `associate-+l+` `associate-+r+`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`distribute-lft-neg-out`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

0.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* y 1.0))) (- z 1.0) (+ (* x (log y)) (* (- 1.0) (log y))))
8.0ms	(+ (* x (log y)) (* (- 1.0) (log y)))
7.0ms	(* x (log y))

series333.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* y 1.0))) (- z 1.0) (+ (* x (log y)) (* (- 1.0) (log y))))
113.0ms	(+ (* x (log y)) (* (- 1.0) (log y)))
49.0ms	(* x (log y))

simplify1.4s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1195
1	372
0	149

prune982.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-r`
2×	`associate-+l+` `log-pow`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `fma-def` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

7.0ms	(* (log (cbrt y)) x)
11.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series793.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (log (cbrt y)) x)
200.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
211.0ms	(cbrt y)
244.0ms	(cbrt y)

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
2	1235
1	245
0	95

prune887.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes639.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	36
3	36
2	35
1	31
0	24

end0.0ms

sample6.7s

Algorithm

intervals

Results

3.5s	24059×	body	80	nan
670.0ms	5889×	body	80	valid
503.0ms	759×	body	640	valid
327.0ms	270×	body	1280	valid
239.0ms	700×	body	320	valid
86.0ms	417×	body	160	valid