Details

sample166.0ms

Algorithm

intervals

Results

40.0ms	53×	body	10240	exit
35.0ms	50×	body	1280	valid
22.0ms	50×	body	640	valid
10.0ms	106×	body	80	valid
9.0ms	34×	body	320	valid
5.0ms	82×	body	80	nan
3.0ms	2×	body	2560	valid
3.0ms	15×	body	160	valid
3.0ms	9×	body	640	nan
1.0ms	1×	body	1280	nan
1.0ms	5×	body	160	nan
1.0ms	3×	body	320	nan

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4914
6	921
5	224
4	84
3	53
2	35
1	20
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.4b	(log (+ (- 1.0 y) (* y (exp z))))
2.8b	(+ (- 1.0 y) (* y (exp z)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1` `associate-+l+`
9×	`prod-diff` `add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`fma-def` `log-pow`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `associate-/l*`
3×	`log-prod` `associate-/r` `flip3-+` `associate-r` `associate-l*` `flip-+`
2×	`sum-log` `div-sub`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

17.0ms	(* y (exp z))
58.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
30.0ms	(log (+ (- 1.0 y) (* y (exp z))))
51.0ms	(+ (- 1.0 y) (* y (exp z)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (exp z))
242.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
92.0ms	(log (+ (- 1.0 y) (* y (exp z))))
51.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1950
1	513
0	216

prune855.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.5b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y z) z)
4.1b	(fma 1.0 (/ (* z y) t) (fma 0.5 (/ (* (* y z) z) t) (/ (log 1.0) t)))
6.2b	(/ (* z y) t)
7.1b	(/ (* (* y z) z) t)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/r*` `times-frac`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down`
2×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

4 → 78

Calls

4 calls:

15.0ms	(* (* y z) z)
0.0ms	(fma 1.0 (/ (* z y) t) (fma 0.5 (/ (* (* y z) z) t) (/ (log 1.0) t)))
8.0ms	(/ (* z y) t)
17.0ms	(/ (* (* y z) z) t)

series217.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* y z) z)
122.0ms	(fma 1.0 (/ (* z y) t) (fma 0.5 (/ (* (* y z) z) t) (/ (log 1.0) t)))
26.0ms	(/ (* z y) t)
33.0ms	(/ (* (* y z) z) t)

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	2482
1	332
0	127

prune750.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y z) z)
4.1b	(+ (* 1.0 (/ y (/ t z))) (fma 0.5 (/ (* (* y z) z) t) (/ (log 1.0) t)))
6.0b	(/ y (/ t z))
7.1b	(/ (* (* y z) z) t)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
49×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
9×	`pow1`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`associate-r` `pow-prod-down`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+r+` `sum-log` `fma-def` `flip3-+` `associate-l` `associate-/r/` `*-commutative` `flip-+` `fma-udef`

Counts

4 → 132

Calls

4 calls:

14.0ms	(* (* y z) z)
17.0ms	(+ (* 1.0 (/ y (/ t z))) (fma 0.5 (/ (* (* y z) z) t) (/ (log 1.0) t)))
16.0ms	(/ y (/ t z))
23.0ms	(/ (* (* y z) z) t)

series345.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* y z) z)
226.0ms	(+ (* 1.0 (/ y (/ t z))) (fma 0.5 (/ (* (* y z) z) t) (/ (log 1.0) t)))
26.0ms	(/ y (/ t z))
34.0ms	(/ (* (* y z) z) t)

simplify1.8s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	3969
1	665
0	244

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (fma 1.0 (/ z (/ t y)) (/ (log 1.0) t)))
6.2b	(/ z (/ t y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity`
51×	`add-cube-cbrt`
13×	`associate-/r*`
9×	`prod-diff`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `fma-neg` `div-exp` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `associate-/r/` `fma-udef` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 101

Calls

2 calls:

5.0ms	(- x (fma 1.0 (/ z (/ t y)) (/ (log 1.0) t)))
12.0ms	(/ z (/ t y))

series192.0ms

Counts

2 → 6

Calls

2 calls:

166.0ms	(- x (fma 1.0 (/ z (/ t y)) (/ (log 1.0) t)))
25.0ms	(/ z (/ t y))

simplify1.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	2215
1	513
0	216

prune721.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.7b

regimes978.0ms

Accuracy

66.2% (4.5b remaining)

Error of 8.2b against oracle of 3.8b and baseline of 16.9b

bsearch110.0ms

Steps

Iters	Range		Point
8	-60102695835691.71	-3658128597.9917617	-3716868871.2444687

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	22

end0.0ms

sample7.0s

Algorithm

intervals

Results

1.9s	1554×	body	10240	exit
1.4s	1467×	body	1280	valid
894.0ms	1496×	body	640	valid
723.0ms	904×	body	320	valid
484.0ms	3622×	body	80	valid
194.0ms	2459×	body	80	nan
159.0ms	82×	body	2560	valid
137.0ms	456×	body	160	valid
124.0ms	255×	body	640	nan
60.0ms	100×	body	160	nan
58.0ms	122×	body	1280	nan
45.0ms	195×	body	320	nan