Details

sample493.0ms

Algorithm

intervals

Results

147.0ms	86×	body	2560	valid
146.0ms	74×	body	10240	exit
132.0ms	112×	body	1280	valid
27.0ms	38×	body	640	valid
13.0ms	330×	pre	80	true
3.0ms	6×	body	320	valid
1.0ms	11×	body	80	valid
1.0ms	3×	body	160	valid

simplify1.8s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.3b

localize34.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (exp (* (+ a b) eps)) 1)
3.0b	(- (exp (* b eps)) 1)
1.9b	(- (exp (* a eps)) 1)
0.2b	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
10×	`add-log-exp` `difference-of-squares`
9×	`flip3--` `flip--`
7×	`associate-r` `associate-l`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`sub-neg` `difference-of-sqr-1` `distribute-lft-out--`
4×	`frac-times` `insert-posit16`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

Slowest

70.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
18.0ms	(- (exp (* (+ a b) eps)) 1)
11.0ms	(- (exp (* a eps)) 1)
11.0ms	(- (exp (* b eps)) 1)

series209.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

66.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
60.0ms	(- (exp (* (+ a b) eps)) 1)
45.0ms	(- (exp (* a eps)) 1)
39.0ms	(- (exp (* b eps)) 1)

simplify560.0ms

Counts: 125 → 102

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 47.4b

localize82.0ms

Local error

Found 4 expressions with local error:

13.3b	(* (* (* a a) a) (* (* 1/6 (* eps eps)) eps))
12.9b	(* (* 1/2 (* a a)) (* eps eps))
4.2b	(- (exp (* (+ a b) eps)) 1)
3.0b	(- (exp (* b eps)) 1)

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

79×	`pow1` `add-cbrt-cube` `add-exp-log`
57×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-log-exp`
4×	`add-cube-cbrt` `insert-posit16` `difference-of-squares`
2×	`sub-neg` `flip3--` `diff-log` `difference-of-sqr-1` `associate-r` `associate-l` `*-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 110

Calls

4 calls:

Slowest

161.0ms	(* (* (* a a) a) (* (* 1/6 (* eps eps)) eps))
68.0ms	(* (* 1/2 (* a a)) (* eps eps))
24.0ms	(- (exp (* (+ a b) eps)) 1)
13.0ms	(- (exp (* b eps)) 1)

series287.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(* (* (* a a) a) (* (* 1/6 (* eps eps)) eps))
81.0ms	(- (exp (* (+ a b) eps)) 1)
63.0ms	(* (* 1/2 (* a a)) (* eps eps))
54.0ms	(- (exp (* b eps)) 1)

simplify689.0ms

Counts: 130 → 122

prune2.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 47.3b

localize145.0ms

Local error

Found 4 expressions with local error:

13.3b	(* (* (* a a) a) (* (* 1/6 (* eps eps)) eps))
12.9b	(* (* 1/2 (* a a)) (* eps eps))
4.2b	(- (exp (* (+ a b) eps)) 1)
4.2b	(- (exp (* (+ a b) eps)) 1)

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

79×	`pow1` `add-cbrt-cube` `add-exp-log`
57×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-log-exp`
4×	`add-cube-cbrt` `insert-posit16` `difference-of-squares`
2×	`sub-neg` `flip3--` `diff-log` `difference-of-sqr-1` `associate-r` `associate-l` `*-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 110

Calls

4 calls:

Slowest

196.0ms	(* (* (* a a) a) (* (* 1/6 (* eps eps)) eps))
50.0ms	(* (* 1/2 (* a a)) (* eps eps))
24.0ms	(- (exp (* (+ a b) eps)) 1)
21.0ms	(- (exp (* (+ a b) eps)) 1)

series308.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(* (* (* a a) a) (* (* 1/6 (* eps eps)) eps))
69.0ms	(- (exp (* (+ a b) eps)) 1)
64.0ms	(* (* 1/2 (* a a)) (* eps eps))
55.0ms	(- (exp (* (+ a b) eps)) 1)

simplify640.0ms

Counts: 130 → 122

prune2.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 47.3b

localize64.0ms

Local error

Found 4 expressions with local error:

12.5b	(* (* 1/6 (* b (* b b))) (* eps (* eps eps)))
12.4b	(* (* 1/2 (* b b)) (* eps eps))
4.2b	(- (exp (* (+ a b) eps)) 1)
3.0b	(* (- (exp (* a eps)) 1) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* 1/2 (* b b)) (* eps eps)))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

81×	`pow1` `add-cbrt-cube` `add-exp-log`
58×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`associate-l`
6×	`add-cube-cbrt` `add-log-exp`
5×	`associate-r`
4×	`frac-times` `flip3--` `insert-posit16` `flip--` `difference-of-squares`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`difference-of-sqr-1` `associate-l/` `associate-r/` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

Slowest

765.0ms	(* (- (exp (* a eps)) 1) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* 1/2 (* b b)) (* eps eps)))))
138.0ms	(* (* 1/6 (* b (* b b))) (* eps (* eps eps)))
87.0ms	(* (* 1/2 (* b b)) (* eps eps))
24.0ms	(- (exp (* (+ a b) eps)) 1)

series518.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

301.0ms	(* (- (exp (* a eps)) 1) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* 1/2 (* b b)) (* eps eps)))))
94.0ms	(* (* 1/6 (* b (* b b))) (* eps (* eps eps)))
77.0ms	(- (exp (* (+ a b) eps)) 1)
46.0ms	(* (* 1/2 (* b b)) (* eps eps))

simplify528.0ms

Counts: 147 → 138

prune2.3s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 47.2b

regimes428.0ms

Accuracy

44.5% (4.8b remaining)

Error of 52.6b against oracle of 47.8b and baseline of 56.5b

bsearch919.0ms

end0.0ms

sample19.3s

Algorithm

intervals

Results

7.0s	2573×	body	2560	valid
4.9s	3444×	body	1280	valid
4.6s	1991×	body	10240	exit
1.4s	1020×	body	640	valid
596.0ms	9995×	pre	80	true
257.0ms	347×	body	320	valid
84.0ms	475×	body	80	valid
52.0ms	145×	body	160	valid