Details

sample95.0ms

Algorithm

intervals

Results

34.0ms	54×	body	1280	valid
21.0ms	54×	body	640	valid
10.0ms	153×	body	80	valid
8.0ms	30×	body	320	valid
5.0ms	99×	body	80	nan
3.0ms	19×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	49	9
4	107	9
5	245	9
6	580	9
7	1850	9
done	5000	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* x (log (/ x (+ x y))))) x)
0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
10.6b	(log (/ x (+ x y)))

rewrite142.0ms

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×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `clear-num` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 296

Calls

4 calls:

75.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
11.0ms	(/ x (+ x y))
25.0ms	(* x (log (/ x (+ x y))))
11.0ms	(log (/ x (+ x y)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
63.0ms	(/ x (+ x y))
128.0ms	(* x (log (/ x (+ x y))))
82.0ms	(log (/ x (+ x y)))

simplify3.4s

Counts

308 → 308

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	478	5632
1	835	4771
2	1686	4591
3	4961	4500
done	5000	4500

prune702.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.9b	(log (/ (cbrt x) (cbrt (+ x y))))
4.9b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 148

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series809.0ms

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt x)
286.0ms	(cbrt x)
98.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
108.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify2.1s

Counts

160 → 160

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	177	2306
1	321	2146
2	578	2060
3	1115	1986
4	2482	1982
done	5000	1976

prune796.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`pow1` `cbrt-undiv` `neg-sub0` `exp-neg` `expm1-log1p-u` `frac-2neg` `exp-diff` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

14.0ms

(/ (exp (- y)) x)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(/ (exp (- y)) x)

simplify2.8s

Counts

34 → 34

Iterations

Useful iterations: 3 (208.0ms)

Iter	Nodes	Cost
0	66	311
1	120	300
2	293	280
3	709	278
4	2815	278
done	5002	278

prune95.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (exp y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

12.0ms

(* x (exp y))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* x (exp y))

simplify2.9s

Counts

23 → 23

Iterations

Useful iterations: 4 (277.0ms)

Iter	Nodes	Cost
0	40	146
1	87	141
2	180	125
3	289	125
4	431	123
5	716	123
6	1806	123
done	5000	123

prune59.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

81.8% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 5.4b

bsearch207.0ms

Steps

Iters	Range		Point
9	1.2167838917470026e-32	2.9088581115424155e-25	2.859517489315194e-25
9	-1.1336114390675675e+140	-1.3239866454658551e+135	-1.335604954605443e+135

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	24	46
1	33	39
done	33	39

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.3s	1522×	body	1280	valid
680.0ms	1422×	body	640	valid
553.0ms	4873×	body	80	valid
353.0ms	877×	body	320	valid
238.0ms	3017×	body	80	nan
82.0ms	427×	body	160	valid