Details

sample341.0ms

Algorithm

intervals

Results

154.0ms	1765×	body	80	nan
50.0ms	257×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	157	15
4	459	15
5	1725	15
done	5001	15

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ x y))
0.0b	(- (+ (log (+ x y)) (log z)) t)
0.2b	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
30×	`pow1`
26×	`log-pow` `distribute-lft-out`
21×	`add-sqr-sqrt` `prod-diff`
19×	`add-cube-cbrt`
11×	`log-prod`
7×	`fma-neg` `add-log-exp`
6×	`log-div`
5×	`add-exp-log` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-+l-` `associate-+l+` `fma-def` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
3×	`associate-+r+`
2×	`associate--l-` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `rem-log-exp` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

14.0ms	(log (+ x y))
119.0ms	(- (+ (log (+ x y)) (log z)) t)
1.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
26.0ms	(+ (log (+ x y)) (log z))

series543.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(log (+ x y))
224.0ms	(- (+ (log (+ x y)) (log z)) t)
146.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
87.0ms	(+ (log (+ x y)) (log z))

simplify844.0ms

Counts

121 → 121

Iterations

Useful iterations: done (840.0ms)

Iter	Nodes	Cost
0	188	1715
1	436	1474
2	1456	1273
done	5001	1218

prune588.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

43.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series813.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
209.0ms	(cbrt (+ x y))
212.0ms	(cbrt (+ x y))
199.0ms	(cbrt (+ x y))

simplify957.0ms

Counts

115 → 115

Iterations

Useful iterations: done (952.0ms)

Iter	Nodes	Cost
0	120	1316
1	288	1186
2	1168	1128
done	5000	1104

prune756.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* 2 (log (cbrt (+ x y)))) (log (cbrt (+ x y))))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.6b	(+ (+ (* 2 (log (cbrt (+ x y)))) (log (cbrt (+ x y)))) (log z))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
24×	`log-prod`
20×	`cbrt-prod`
15×	`associate-+l+`
14×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`associate-+r+`
8×	`cbrt-div`
7×	`pow1` `distribute-rgt-in` `fma-def` `distribute-lft-in` `distribute-lft-out` `add-log-exp`
6×	`flip3-+` `flip-+`
4×	`add-exp-log` `expm1-log1p-u` `associate-+r-` `log-div` `distribute-rgt-out` `sum-log` `add-cbrt-cube` `log1p-expm1-u`
3×	`log-pow`
2×	`+-commutative` `associate-+l-` `distribute-lft1-in` `pow1/3`

Counts

4 → 100

Calls

4 calls:

44.0ms	(+ (* 2 (log (cbrt (+ x y)))) (log (cbrt (+ x y))))
7.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
79.0ms	(+ (+ (* 2 (log (cbrt (+ x y)))) (log (cbrt (+ x y)))) (log z))

series736.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(+ (* 2 (log (cbrt (+ x y)))) (log (cbrt (+ x y))))
193.0ms	(cbrt (+ x y))
184.0ms	(cbrt (+ x y))
175.0ms	(+ (+ (* 2 (log (cbrt (+ x y)))) (log (cbrt (+ x y)))) (log z))

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	165	1490
1	413	1139
2	1682	1020
done	5000	989

prune825.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (+ (pow (log (+ x y)) 3) (pow (log z) 3)) (fma (log (+ x y)) (log (+ x y)) (* (log z) (- (log z) (log (+ x y))))))
0.6b	(- (log z) (log (+ x y)))
0.7b	(pow (log (+ x y)) 3)
0.7b	(pow (log z) 3)

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
87×	`pow1`
81×	`log-pow`
72×	`unpow-prod-down` `cube-prod`
69×	`distribute-lft-out`
63×	`times-frac`
49×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
21×	`associate-/l*`
16×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
7×	`log-prod`
6×	`pow-unpow`
4×	`expm1-log1p-u` `fma-neg` `sum-cubes` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`associate--l+` `associate-/r*`
2×	`cube-mult` `pow-to-exp` `log-div` `pow-pow` `flip3-+` `unpow3` `pow-exp` `flip-+` `associate-/l/` `associate--r-` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `difference-of-squares`

Counts

4 → 205

Calls

4 calls:

137.0ms	(/ (+ (pow (log (+ x y)) 3) (pow (log z) 3)) (fma (log (+ x y)) (log (+ x y)) (* (log z) (- (log z) (log (+ x y))))))
15.0ms	(- (log z) (log (+ x y)))
4.0ms	(pow (log (+ x y)) 3)
6.0ms	(pow (log z) 3)

series12.3s

Counts

4 → 12

Calls

4 calls:

11.5s	(/ (+ (pow (log (+ x y)) 3) (pow (log z) 3)) (fma (log (+ x y)) (log (+ x y)) (* (log z) (- (log z) (log (+ x y))))))
86.0ms	(- (log z) (log (+ x y)))
495.0ms	(pow (log (+ x y)) 3)
291.0ms	(pow (log z) 3)

simplify2.9s

Counts

217 → 217

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	265	6730
1	736	6146
2	3638	5340
done	5000	5332

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes573.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	27
1	21	27
done	21	27

end0.0ms

sample12.2s

Algorithm

intervals

Results

6.5s	57175×	body	80	nan
1.7s	8043×	body	80	valid