Details

sample72.0ms

Algorithm

intervals

Results

22.0ms	215×	body	80	valid
12.0ms	29×	body	640	valid
10.0ms	19×	body	1280	valid
4.0ms	87×	body	80	nan
4.0ms	14×	body	320	valid
2.0ms	11×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2094
5	507
4	152
3	54
2	27
1	18
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
8.1b	(log (/ y (+ z y)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube` `associate-/r/`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-/r` `associate-r*` `log1p-expm1-u` `div-inv`
3×	`fma-def` `associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

85.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
16.0ms	(/ y (+ z y))
37.0ms	(* y (log (/ y (+ z y))))
10.0ms	(log (/ y (+ z y)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
51.0ms	(/ y (+ z y))
104.0ms	(* y (log (/ y (+ z y))))
85.0ms	(log (/ y (+ z y)))

simplify1.2s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	1335
1	465
0	207

prune831.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp 0) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

17.0ms

(+ x (/ (exp 0) y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ x (/ (exp 0) y))

simplify2.0s

Counts

20 → 20

Iterations

Iter	Nodes
done	5001
3	2442
2	320
1	84
0	32

prune94.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (- z)) y))
0.0b	(/ (exp (- z)) y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `fma-def` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `associate-/l/`
1×	`neg-sub0` `exp-neg` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 48

Calls

2 calls:

17.0ms	(+ x (/ (exp (- z)) y))
19.0ms	(/ (exp (- z)) y)

series67.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (/ (exp (- z)) y))
22.0ms	(/ (exp (- z)) y)

simplify895.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	747
1	200
0	89

prune329.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (- z)) y)
0.1b	(sqrt (/ (exp (- z)) y))
0.1b	(sqrt (/ (exp (- z)) y))
0.2b	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`*-un-lft-identity` `add-cube-cbrt`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-cbrt-cube`
7×	`add-exp-log` `div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `pow-sqr` `associate-/l`
2×	`associate-/l/`
1×	`pow2` `neg-sub0` `exp-neg` `frac-times` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `exp-diff` `sqrt-unprod` `div-exp` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 174

Calls

4 calls:

9.0ms	(/ (exp (- z)) y)
12.0ms	(sqrt (/ (exp (- z)) y))
15.0ms	(sqrt (/ (exp (- z)) y))
70.0ms	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (exp (- z)) y)
72.0ms	(sqrt (/ (exp (- z)) y))
55.0ms	(sqrt (/ (exp (- z)) y))
51.0ms	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))

simplify1.8s

Counts

186 → 186

Iterations

Iter	Nodes
done	5002
2	2816
1	469
0	215

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes184.0ms

Accuracy

75% (0.5b remaining)

Error of 0.8b against oracle of 0.3b and baseline of 2.4b

bsearch48.0ms

Steps

Iters	Range		Point
7	1.8921341643334238e-20	6.37753900235512e-19	6.291575122955908e-19

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample3.0s

Algorithm

intervals

Results

988.0ms	792×	body	1280	valid
718.0ms	6550×	body	80	valid
425.0ms	901×	body	640	valid
249.0ms	3021×	body	80	nan
160.0ms	576×	body	320	valid
53.0ms	296×	body	160	valid