Details

sample53.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4082
7	1989
6	1145
5	750
4	496
3	200
2	79
1	33
0	16

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ z a) b) y)
0.5b	(fma a t (* (- (+ z a) b) y))
0.8b	(fma z x (fma a t (* (- (+ z a) b) y)))
24.5b	(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-l`
5×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-/l*`
2×	`associate-*l/` `associate-/r/` `fma-udef` `distribute-lft-out--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

140.0ms	(* (- (+ z a) b) y)
0.0ms	(fma a t (* (- (+ z a) b) y))
0.0ms	(fma z x (fma a t (* (- (+ z a) b) y)))
42.0ms	(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- (+ z a) b) y)
64.0ms	(fma a t (* (- (+ z a) b) y))
113.0ms	(fma z x (fma a t (* (- (+ z a) b) y)))
245.0ms	(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

simplify1.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	957
1	289
0	137

prune618.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.6b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.5b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite402.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-l` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `prod-diff` `associate-/l*`
2×	`sum-log` `flip3--` `diff-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `fma-def` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

19.0ms	(* (+ x y) z)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
131.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
232.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series959.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ x y) z)
78.0ms	(+ (* (+ x y) z) (* (+ t y) a))
141.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
702.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.7s

Counts

121 → 121

Iterations

Iter	Nodes
done	5012
2	2337
1	586
0	199

prune706.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ y t))
0.7b	(- (* a (+ y t)) (* b y))
1.8b	(fma z (+ y x) (- (* a (+ y t)) (* b y)))
24.5b	(/ (fma z (+ y x) (- (* a (+ y t)) (* b y))) (+ (+ x t) y))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate--l+` `associate-*r/` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

19.0ms	(* a (+ y t))
18.0ms	(- (* a (+ y t)) (* b y))
0.0ms	(fma z (+ y x) (- (* a (+ y t)) (* b y)))
47.0ms	(/ (fma z (+ y x) (- (* a (+ y t)) (* b y))) (+ (+ x t) y))

series379.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* a (+ y t))
48.0ms	(- (* a (+ y t)) (* b y))
131.0ms	(fma z (+ y x) (- (* a (+ y t)) (* b y)))
167.0ms	(/ (fma z (+ y x) (- (* a (+ y t)) (* b y))) (+ (+ x t) y))

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5005
2	1212
1	379
0	152

prune562.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.7b

localize60.0ms

Local error

Found 4 expressions with local error:

14.7b	(cbrt (* (+ x y) z))
14.7b	(cbrt (* (+ x y) z))
14.7b	(cbrt (* (+ x y) z))
24.5b	(/ (- (+ (* (* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z))) (cbrt (* (+ x y) z))) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite675.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
6×	`cbrt-div` `add-cbrt-cube` `associate-*l/` `add-exp-log`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--`

Counts

4 → 85

Calls

4 calls:

7.0ms	(cbrt (* (+ x y) z))
7.0ms	(cbrt (* (+ x y) z))
7.0ms	(cbrt (* (+ x y) z))
652.0ms	(/ (- (+ (* (* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z))) (cbrt (* (+ x y) z))) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series965.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (* (+ x y) z))
113.0ms	(cbrt (* (+ x y) z))
121.0ms	(cbrt (* (+ x y) z))
623.0ms	(/ (- (+ (* (* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z))) (cbrt (* (+ x y) z))) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify986.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1261
1	385
0	151

prune508.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.7b

regimes628.0ms

Accuracy

46.6% (10.7b remaining)

Error of 15.0b against oracle of 4.4b and baseline of 24.4b

bsearch102.0ms

Steps

Iters	Range		Point
7	6.720497818670432e+40	3.588185019252796e+42	1.2744164181753573e+42
10	-6.055269914866252e+95	-3.2946322458072404e+85	-5.161631857410307e+87

simplify4.0ms

Iterations

Iter	Nodes
done	33
1	33
0	23

end0.0ms

sample924.0ms

Algorithm

intervals

Results

695.0ms	7995×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid