Details

sample79.0ms

Algorithm

intervals

Results

20.0ms	259×	body	80	valid
17.0ms	273×	body	80	nan

simplify882.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1080
3	208
2	63
1	21
0	10

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `add-log-exp`
15×	`prod-diff`
7×	`distribute-lft-out`
6×	`pow1` `log-prod`
5×	`associate-+l+` `add-cbrt-cube` `diff-log` `add-exp-log`
4×	`sum-log` `fma-neg` `associate-r` `associate-l`
3×	`distribute-rgt-in` `expm1-log1p-u` `fma-def` `distribute-lft-in` `log1p-expm1-u`
2×	`sub-neg` `flip3-+` `associate-*l/` `associate-+l-` `flip-+` `distribute-lft-out--`
1×	`associate--l-` `+-commutative` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`

Counts

3 → 91

Calls

3 calls:

169.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
37.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
41.0ms	(* (+ y 0.5) (log y))

series520.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
57.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
381.0ms	(* (+ y 0.5) (log y))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1828
1	475
0	179

prune534.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (fma (log y) (+ 0.5 y) (- y)))
0.0b	(- (- x (fma (log y) (+ 0.5 y) (- y))) z)
0.2b	(fma (log y) (+ 0.5 y) (- y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
33×	`prod-diff`
25×	`add-cube-cbrt`
11×	`associate--l+`
10×	`add-log-exp`
8×	`fma-neg` `distribute-lft-out--`
6×	`difference-of-squares`
4×	`diff-log`
3×	`expm1-log1p-u` `pow1` `sub-neg` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`flip3--` `fma-udef` `flip--`
1×	`associate--l-` `associate--r+`

Counts

3 → 89

Calls

3 calls:

9.0ms	(- x (fma (log y) (+ 0.5 y) (- y)))
42.0ms	(- (- x (fma (log y) (+ 0.5 y) (- y))) z)
0.0ms	(fma (log y) (+ 0.5 y) (- y))

series475.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- x (fma (log y) (+ 0.5 y) (- y)))
59.0ms	(- (- x (fma (log y) (+ 0.5 y) (- y))) z)
363.0ms	(fma (log y) (+ 0.5 y) (- y))

simplify1.0s

Counts

98 → 98

Iterations

Iter	Nodes
done	5002
2	1363
1	378
0	159

prune548.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.5 y) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ 0.5 y) (* 2 (log (cbrt y)))) (* (+ 0.5 y) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
29×	`*-un-lft-identity`
27×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `frac-add` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `distribute-lft-out`
1×	`+-commutative` `sum-log` `fma-def` `associate-r` `*-commutative`

Counts

4 → 128

Calls

4 calls:

35.0ms	(* (+ 0.5 y) (* 2 (log (cbrt y))))
30.0ms	(+ (* (+ 0.5 y) (* 2 (log (cbrt y)))) (* (+ 0.5 y) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series2.4s

Counts

4 → 12

Calls

4 calls:

746.0ms	(* (+ 0.5 y) (* 2 (log (cbrt y))))
1.0s	(+ (* (+ 0.5 y) (* 2 (log (cbrt y)))) (* (+ 0.5 y) (log (cbrt y))))
288.0ms	(cbrt y)
321.0ms	(cbrt y)

simplify1.6s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	3242
1	780
0	235

prune990.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (fma (- (log y)) (+ 0.5 y) (fma (+ 0.5 y) (log y) y)))
0.2b	(* (log y) (+ y 0.5))
0.2b	(fma (+ 0.5 y) (log y) y)
7.1b	(fma (- (log y)) (+ 0.5 y) (fma (+ 0.5 y) (log y) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

4.0ms	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (fma (- (log y)) (+ 0.5 y) (fma (+ 0.5 y) (log y) y)))
16.0ms	(* (log y) (+ y 0.5))
0.0ms	(fma (+ 0.5 y) (log y) y)
0.0ms	(fma (- (log y)) (+ 0.5 y) (fma (+ 0.5 y) (log y) y))

series2.0s

Counts

4 → 12

Calls

4 calls:

120.0ms	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (fma (- (log y)) (+ 0.5 y) (fma (+ 0.5 y) (log y) y)))
358.0ms	(* (log y) (+ y 0.5))
460.0ms	(fma (+ 0.5 y) (log y) y)
1.0s	(fma (- (log y)) (+ 0.5 y) (fma (+ 0.5 y) (log y) y))

simplify1.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1757
1	356
0	130

prune537.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

567.0ms	8031×	body	80	valid
557.0ms	8083×	body	80	nan
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid