Details

sample100.0ms

Algorithm

intervals

Results

27.0ms	213×	body	80	valid
22.0ms	25×	body	1280	valid
17.0ms	33×	body	640	valid
8.0ms	104×	body	80	nan
5.0ms	18×	body	320	valid
3.0ms	11×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	2018
6	565
5	220
4	94
3	44
2	25
1	18
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
13.1b	(log (/ y (+ z y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`flip3-+` `add-exp-log` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `rem-log-exp` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 300

Calls

4 calls:

37.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
9.0ms	(/ y (+ z y))
13.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
73.0ms	(/ y (+ z y))
129.0ms	(* y (log (/ y (+ z y))))
62.0ms	(log (/ y (+ z y)))

simplify2.0s

Counts

312 → 312

Iterations

Iter	Nodes
done	5003
2	2030
1	893
0	482

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

14.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify2.0s

Counts

21 → 21

Iterations

Iter	Nodes
done	5004
3	1524
2	325
1	86
0	33

prune100.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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` `insert-posit16` `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 → 50

Calls

2 calls:

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

series65.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (/ (exp (- z)) y))
34.0ms	(/ (exp (- z)) y)

simplify1.6s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	1865
2	580
1	202
0	91

prune258.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ 1 (* y (exp z))))
0.0b	(* y (exp z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
5×	`add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l` `add-exp-log`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

20.0ms	(+ x (/ 1 (* y (exp z))))
13.0ms	(* y (exp z))

series89.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ x (/ 1 (* y (exp z))))
42.0ms	(* y (exp z))

simplify2.8s

Counts

46 → 46

Iterations

Iter	Nodes
done	5003
3	2542
2	568
1	188
0	75

prune188.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes163.0ms

Accuracy

66.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.4b

bsearch51.0ms

Steps

Iters	Range		Point
8	0.00490448378426367	2.9985582297439377	0.06656101021950764

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample2.9s

Algorithm

intervals

Results

783.0ms	6534×	body	80	valid
635.0ms	773×	body	1280	valid
535.0ms	917×	body	640	valid
241.0ms	538×	body	320	valid
238.0ms	2925×	body	80	nan
92.0ms	315×	body	160	valid