Details

sample1.1s

Algorithm

intervals

Results

480.0ms	60×	body	10240	exit
197.0ms	61×	body	2560	valid
168.0ms	118×	body	1280	valid
64.0ms	41×	body	640	valid
20.0ms	316×	pre	80	true
8.0ms	15×	body	320	valid
7.0ms	18×	body	80	valid
1.0ms	3×	body	160	valid

simplify8.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
5	2297
4	630
3	237
2	95
1	40
0	17

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.4b

localize84.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
3.9b	(- (exp (* b eps)) 1.0)
4.6b	(- (exp (* a eps)) 1.0)
6.6b	(- (exp (* (+ a b) eps)) 1.0)

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`prod-diff`
39×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-log-exp`
9×	`flip3--` `fma-neg` `flip--`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sub-neg` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
3×	`diff-log`
2×	`associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

187.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
31.0ms	(- (exp (* b eps)) 1.0)
31.0ms	(- (exp (* a eps)) 1.0)
44.0ms	(- (exp (* (+ a b) eps)) 1.0)

series308.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
66.0ms	(- (exp (* b eps)) 1.0)
65.0ms	(- (exp (* a eps)) 1.0)
85.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify4.0s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	1666
1	538
0	221

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 48.2b

localize155.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (exp (* a eps)) 1.0)
6.6b	(- (exp (* (+ a b) eps)) 1.0)
12.2b	(fma (* 1/2 (* b b)) (* eps eps) (fma b eps (* (* (* b b) b) (* (* 1/6 (* eps eps)) eps))))
19.0b	(* (* (* b b) b) (* (* 1/6 (* eps eps)) eps))

rewrite610.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1` `add-exp-log` `add-cbrt-cube`
42×	`pow-prod-down` `prod-exp` `cbrt-unprod`
22×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
8×	`add-log-exp`
6×	`fma-neg`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative` `fma-udef`

Counts

4 → 114

Calls

4 calls:

30.0ms	(- (exp (* a eps)) 1.0)
30.0ms	(- (exp (* (+ a b) eps)) 1.0)
6.0ms	(fma (* 1/2 (* b b)) (* eps eps) (fma b eps (* (* (* b b) b) (* (* 1/6 (* eps eps)) eps))))
442.0ms	(* (* (* b b) b) (* (* 1/6 (* eps eps)) eps))

series492.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (exp (* a eps)) 1.0)
111.0ms	(- (exp (* (+ a b) eps)) 1.0)
188.0ms	(fma (* 1/2 (* b b)) (* eps eps) (fma b eps (* (* (* b b) b) (* (* 1/6 (* eps eps)) eps))))
103.0ms	(* (* (* b b) b) (* (* 1/6 (* eps eps)) eps))

simplify4.2s

Counts

126 → 126

Iterations

Iter	Nodes
done	5004
2	1731
1	533
0	208

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 46.6b

localize83.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (- (exp (* a eps)) 1.0) (fma 1/2 (* (* eps b) (* eps b)) (* eps b)))
3.6b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/2 (* (* eps b) (* eps b)) (* eps b))))
4.6b	(- (exp (* a eps)) 1.0)
6.6b	(- (exp (* (+ a b) eps)) 1.0)

rewrite849.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`add-exp-log` `prod-diff` `add-cbrt-cube`
8×	`add-log-exp`
6×	`pow1` `fma-neg`
5×	`flip3--` `associate-l` `prod-exp` `flip--` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-*l/` `log1p-expm1-u`
3×	`associate-r` `distribute-lft-out--` `difference-of-squares`
2×	`sub-neg` `diff-log` `associate-*r/` `associate-/r/` `fma-udef` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

82.0ms	(* (- (exp (* a eps)) 1.0) (fma 1/2 (* (* eps b) (* eps b)) (* eps b)))
118.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/2 (* (* eps b) (* eps b)) (* eps b))))
40.0ms	(- (exp (* a eps)) 1.0)
510.0ms	(- (exp (* (+ a b) eps)) 1.0)

series3.0s

Counts

4 → 12

Calls

4 calls:

347.0ms	(* (- (exp (* a eps)) 1.0) (fma 1/2 (* (* eps b) (* eps b)) (* eps b)))
2.4s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/2 (* (* eps b) (* eps b)) (* eps b))))
73.0ms	(- (exp (* a eps)) 1.0)
175.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify5.7s

Counts

121 → 121

Iterations

Iter	Nodes
done	5009
2	2826
1	651
0	235

prune3.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 b) (/ 1 a))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`times-frac`
13×	`fma-def`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`distribute-lft-out`
5×	`div-inv`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 34

Calls

1 calls:

59.0ms

(+ (/ 1 b) (/ 1 a))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ (/ 1 b) (/ 1 a))

simplify12.9s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
5	4412
4	1667
3	716
2	343
1	110
0	42

prune465.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes272.0ms

Accuracy

0% (3.3b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 3.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample37.3s

Algorithm

intervals

Results

13.9s	2524×	body	2560	valid
10.9s	1949×	body	10240	exit
8.0s	3400×	body	1280	valid
2.0s	9950×	pre	80	true
1.3s	1081×	body	640	valid
290.0ms	394×	body	320	valid
130.0ms	463×	body	80	valid
69.0ms	139×	body	160	valid