Details

sample517.0ms

Algorithm: halfpoints

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1025
5	247
4	128
3	83
2	48
1	30
0	16

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.8b

localize94.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.2b	(- (exp x) (exp (- x)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
19×	`associate-l` `add-cube-cbrt`
16×	`times-frac`
9×	`prod-diff`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`fma-neg` `associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `flip--`

Counts

2 → 68

Calls

2 calls:

79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms	(- (exp x) (exp (- x)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
50.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1498
1	363
0	148

prune611.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize127.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ (* 1/3 (* x x)) 2))
0.1b	(* (/ (fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2))) 2.0) (sin y))
0.2b	(* 1/3 (* x x))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-l`
15×	`add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
10×	`times-frac`
7×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/`
1×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `flip-+` `div-inv`

Counts

3 → 79

Calls

3 calls:

45.0ms	(* x (+ (* 1/3 (* x x)) 2))
24.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2))) 2.0) (sin y))
26.0ms	(* 1/3 (* x x))

series260.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(* x (+ (* 1/3 (* x x)) 2))
113.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2))) 2.0) (sin y))
28.0ms	(* 1/3 (* x x))

simplify2.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5002
2	2653
1	456
0	160

prune728.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize171.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (log (exp (* 1/3 (* x x)))) 2))
0.1b	(* (/ (fma 1/60 (pow x 5) (* x (+ (log (exp (* 1/3 (* x x)))) 2))) 2.0) (sin y))
0.2b	(* 1/3 (* x x))
31.1b	(log (exp (* 1/3 (* x x))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`-un-lft-identity` `associate-l*`
16×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
15×	`pow1`
10×	`times-frac`
9×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down` `add-log-exp`
4×	`expm1-log1p-u` `log-pow` `log1p-expm1-u` `unswap-sqr`
3×	`log-prod` `*-commutative`
2×	`associate-*r/` `distribute-lft-out`
1×	`distribute-rgt-in` `cbrt-undiv` `exp-prod` `distribute-lft-in` `flip3-+` `exp-to-pow` `div-exp` `rem-log-exp` `associate-*l/` `flip-+` `div-inv`

Counts

4 → 97

Calls

4 calls:

33.0ms	(* x (+ (log (exp (* 1/3 (* x x)))) 2))
18.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ (log (exp (* 1/3 (* x x)))) 2))) 2.0) (sin y))
13.0ms	(* 1/3 (* x x))
3.0ms	(log (exp (* 1/3 (* x x))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* x (+ (log (exp (* 1/3 (* x x)))) 2))
137.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ (log (exp (* 1/3 (* x x)))) 2))) 2.0) (sin y))
48.0ms	(* 1/3 (* x x))
40.0ms	(log (exp (* 1/3 (* x x))))

simplify2.0s

Counts

109 → 109

Iterations

Iter	Nodes
done	5002
2	2760
1	473
0	179

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize185.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (sqrt (+ (log (exp (* 1/3 (* x x)))) 2)))
0.5b	(* (* x (sqrt (+ (log (exp (* 1/3 (* x x)))) 2))) (sqrt (+ (log (exp (* 1/3 (* x x)))) 2)))
31.1b	(log (exp (* 1/3 (* x x))))
31.1b	(log (exp (* 1/3 (* x x))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`associate-r`
15×	`add-sqr-sqrt` `pow1`
14×	`sqrt-div`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `sqrt-prod`
10×	`associate-*r/`
8×	`log-pow`
7×	`flip3-+` `flip-+`
6×	`log-prod` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out`
2×	`exp-prod` `exp-to-pow` `rem-log-exp` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

30.0ms	(* x (sqrt (+ (log (exp (* 1/3 (* x x)))) 2)))
84.0ms	(* (* x (sqrt (+ (log (exp (* 1/3 (* x x)))) 2))) (sqrt (+ (log (exp (* 1/3 (* x x)))) 2)))
7.0ms	(log (exp (* 1/3 (* x x))))
7.0ms	(log (exp (* 1/3 (* x x))))

series369.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* x (sqrt (+ (log (exp (* 1/3 (* x x)))) 2)))
105.0ms	(* (* x (sqrt (+ (log (exp (* 1/3 (* x x)))) 2))) (sqrt (+ (log (exp (* 1/3 (* x x)))) 2)))
41.0ms	(log (exp (* 1/3 (* x x))))
45.0ms	(log (exp (* 1/3 (* x x))))

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1808
1	347
0	139

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes289.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	33
1	33
0	27

end0.0ms

sample13.5s

Algorithm: halfpoints