Details

sample50.0ms

Algorithm

intervals

Results

23.0ms

336×

body

valid

simplify101.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	123
9	123
8	120
7	112
6	95
5	79
4	62
3	41
2	25
1	15
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
0.0b	(/ t (- 1.0 z))
4.0b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite413.0ms

Algorithm

rewrite-expression-head

Rules

1192×	`times-frac`
1082×	`add-sqr-sqrt`
1078×	`*-un-lft-identity`
819×	`prod-diff`
814×	`add-cube-cbrt`
275×	`distribute-rgt-in` `distribute-lft-in`
129×	`distribute-lft-out--` `difference-of-squares`
104×	`div-inv`
80×	`associate-/r/`
42×	`flip3--` `flip--`
13×	`fma-neg`
10×	`associate-r`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `associate-r/` `log1p-expm1-u` `associate-/l`
2×	`frac-sub`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 927

Calls

3 calls:

47.0ms	(- (/ y z) (/ t (- 1.0 z)))
9.0ms	(/ t (- 1.0 z))
264.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series185.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (/ y z) (/ t (- 1.0 z)))
52.0ms	(/ t (- 1.0 z))
85.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.9s

Counts

936 → 936

Iterations

Iter	Nodes
done	5000
1	2222
0	1009

prune4.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t) (- 1.0 z))
0.1b	(fma y (/ 1 z) (/ (- t) (- 1.0 z)))
4.0b	(* x (fma y (/ 1 z) (/ (- t) (- 1.0 z))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
50×	`times-frac`
34×	`add-cube-cbrt`
18×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`neg-mul-1`
5×	`pow1` `associate-/r*`
3×	`expm1-log1p-u` `associate-r` `associate-l` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/`
1×	`neg-sub0` `distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `flip3--` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `distribute-frac-neg` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`

Counts

3 → 115

Calls

3 calls:

11.0ms	(/ (- t) (- 1.0 z))
0.0ms	(fma y (/ 1 z) (/ (- t) (- 1.0 z)))
6.0ms	(* x (fma y (/ 1 z) (/ (- t) (- 1.0 z))))

series191.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- t) (- 1.0 z))
51.0ms	(fma y (/ 1 z) (/ (- t) (- 1.0 z)))
81.0ms	(* x (fma y (/ 1 z) (/ (- t) (- 1.0 z))))

simplify656.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1637
1	470
0	201

prune681.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x y) z) (/ (* x (- t)) (- 1.0 z)))
2.2b	(/ (* x (- t)) (- 1.0 z))
4.2b	(/ (* x y) z)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
8×	`associate-/r*`
7×	`fma-def`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `distribute-frac-neg` `distribute-rgt-neg-out` `log1p-expm1-u` `div-inv` `distribute-lft-out` `distribute-lft-out--`
2×	`clear-num` `frac-2neg` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `unsub-neg` `frac-add` `flip-+` `flip--`

Counts

3 → 79

Calls

3 calls:

36.0ms	(+ (/ (* x y) z) (/ (* x (- t)) (- 1.0 z)))
18.0ms	(/ (* x (- t)) (- 1.0 z))
7.0ms	(/ (* x y) z)

series217.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ (/ (* x y) z) (/ (* x (- t)) (- 1.0 z)))
87.0ms	(/ (* x (- t)) (- 1.0 z))
32.0ms	(/ (* x y) z)

simplify761.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	2524
1	455
0	159

prune440.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(+ (/ (* x y) z) (- (/ x (/ (- 1.0 z) t))))
2.3b	(/ x (/ (- 1.0 z) t))
4.2b	(/ (* x y) z)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
110×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
25×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/l*`
8×	`div-inv` `add-log-exp`
7×	`fma-def`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
2×	`sum-log` `distribute-lft-out` `associate-/l/`
1×	`neg-sub0` `+-commutative` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `flip3--` `div-sub` `unsub-neg` `neg-log` `frac-add` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `distribute-neg-frac`

Counts

4 → 186

Calls

4 calls:

14.0ms	(/ (- 1.0 z) t)
90.0ms	(+ (/ (* x y) z) (- (/ x (/ (- 1.0 z) t))))
12.0ms	(/ x (/ (- 1.0 z) t))
7.0ms	(/ (* x y) z)

series214.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (- 1.0 z) t)
94.0ms	(+ (/ (* x y) z) (- (/ x (/ (- 1.0 z) t))))
60.0ms	(/ x (/ (- 1.0 z) t))
23.0ms	(/ (* x y) z)

simplify1.3s

Counts

198 → 198

Iterations

Iter	Nodes
done	5000
2	4377
1	832
0	302

prune853.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes432.0ms

Accuracy

39% (4.5b remaining)

Error of 4.5b against oracle of 0.0b and baseline of 7.3b

bsearch60.0ms

Steps

Iters	Range		Point
7	8.978563809385031e-79	5.7705921213355006e-77	5.365296890562927e-77

simplify7.0ms

Iterations

Iter	Nodes
done	43
4	43
3	42
2	39
1	35
0	25

end0.0ms

sample1.1s

Algorithm

intervals

Results

857.0ms

10073×

body

valid