Details

sample354.0ms

Algorithm

intervals

Results

187.0ms	1702×	body	80	nan
24.0ms	257×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--`
5×	`associate-+l-` `associate-l`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

94.0ms	(- (+ (log (+ x y)) (log z)) t)
258.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
35.0ms	(* (- a 0.5) (log t))
23.0ms	(+ (log (+ x y)) (log z))

series760.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(- (+ (log (+ x y)) (log z)) t)
335.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
80.0ms	(* (- a 0.5) (log t))
99.0ms	(+ (log (+ x y)) (log z))

simplify2.2s

Counts

184 → 184

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	270	2956
1	738	2538
2	3146	2220
done	5001	2163

prune798.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`associate-+l+`
25×	`associate-+r+`
22×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-*r/`
7×	`log-prod`
6×	`cbrt-prod` `add-log-exp`
5×	`fma-def` `log-pow` `distribute-lft-out`
4×	`add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`
1×	`distribute-rgt-out`

Counts

4 → 119

Calls

4 calls:

61.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
24.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

461.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
110.0ms	(+ (log (+ x y)) (log z))
284.0ms	(cbrt t)
263.0ms	(cbrt t)

simplify1.9s

Counts

131 → 131

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	255	2135
1	709	1805
2	3274	1364
done	5001	1339

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt t))) (- a 0.5) (* (log (cbrt t)) (- a 0.5)))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`log-prod`
6×	`cbrt-prod`
5×	`log-pow` `distribute-lft-out`
4×	`add-exp-log` `expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `flip-+`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

4 → 66

Calls

4 calls:

0.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (* (log (cbrt t)) (- a 0.5)))
13.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

556.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (* (log (cbrt t)) (- a 0.5)))
113.0ms	(+ (log (+ x y)) (log z))
286.0ms	(cbrt t)
318.0ms	(cbrt t)

simplify2.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (739.0ms)

Iter	Nodes	Cost
0	128	706
1	271	682
2	803	554
3	3746	505
done	5000	505

prune649.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (pow (/ 1 t) -1/3))) (- a 0.5) (* (log (cbrt t)) (- a 0.5)))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
5.1b	(pow (/ 1 t) -1/3)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`unpow-prod-down`
11×	`pow1`
9×	`add-exp-log` `times-frac`
7×	`log-prod`
5×	`log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `associate-+r+` `pow-pow`
2×	`associate-+l-` `log-div` `flip3-+` `div-exp` `flip-+`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `sum-log` `fma-udef` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma (* 2 (log (pow (/ 1 t) -1/3))) (- a 0.5) (* (log (cbrt t)) (- a 0.5)))
24.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
13.0ms	(pow (/ 1 t) -1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

553.0ms	(fma (* 2 (log (pow (/ 1 t) -1/3))) (- a 0.5) (* (log (cbrt t)) (- a 0.5)))
102.0ms	(+ (log (+ x y)) (log z))
267.0ms	(cbrt t)
270.0ms	(pow (/ 1 t) -1/3)

simplify863.0ms

Counts

99 → 99

Iterations

Useful iterations: done (859.0ms)

Iter	Nodes	Cost
0	213	1041
1	536	939
2	1576	792
done	5001	757

prune688.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes743.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	29
1	31	29
done	31	29

end0.0ms

sample14.1s

Algorithm

intervals

Results

7.8s	55801×	body	80	nan
1.4s	8027×	body	80	valid