Details

sample369.0ms

Algorithm

intervals

Results

130.0ms	1561×	body	80	nan
48.0ms	481×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	73	17
3	189	16
4	514	16
5	1747	16
done	5000	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.6b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite460.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 112

Calls

4 calls:

25.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
311.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
111.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series632.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (- t 1.0) (log a))
63.0ms	(* y (log z))
299.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
187.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.5s

Counts

124 → 124

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	275	2031
1	580	1829
2	1657	1505
done	5000	1399

prune579.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(/ (* x (exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
1.0b	(exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))

rewrite3.8s

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`add-log-exp`
12×	`exp-sum`
9×	`prod-diff` `add-cbrt-cube`
8×	`add-exp-log`
6×	`cbrt-prod`
5×	`exp-prod`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `rem-exp-log`
3×	`times-frac` `diff-log` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `exp-diff` `pow1/3` `div-exp`
1×	`sub-neg` `frac-2neg` `associate-r/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `div-inv` `associate-/l/` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.7s	(/ (* x (exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
1.2s	(exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))

series1.2s

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt z)
246.0ms	(cbrt z)
400.0ms	(/ (* x (exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
254.0ms	(exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	202	2236
1	447	1979
2	1322	1551
done	5001	1301

prune575.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b	(exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b)))
9.3b	(* (/ x y) (exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b))))
9.3b	(* (/ x y) (exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b))))
9.3b	(* (/ x y) (exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`associate-l`
30×	`times-frac`
29×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-cbrt-cube`
13×	`add-exp-log`
12×	`associate-r`
10×	`pow1`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`add-log-exp`
4×	`expm1-log1p-u` `exp-sum` `fma-udef` `log1p-expm1-u`
3×	`cbrt-undiv` `exp-prod` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`rem-exp-log`

Counts

4 → 119

Calls

4 calls:

2.0ms	(exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b)))
20.0ms	(* (/ x y) (exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b))))
40.0ms	(* (/ x y) (exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b))))
35.0ms	(* (/ x y) (exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b))))

series1.0s

Counts

4 → 12

Calls

4 calls:

233.0ms	(exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b)))
274.0ms	(* (/ x y) (exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b))))
257.0ms	(* (/ x y) (exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b))))
262.0ms	(* (/ x y) (exp (fma (* (log z) (+ 2/3 1/3)) y (- (* (- t 1.0) (log a)) b))))

simplify2.4s

Counts

131 → 131

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	147	3519
1	360	3159
2	990	2379
3	3429	2355
done	5000	2343

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* (log z) (+ 2/3 1/3)))
0.5b	(* (exp (* y (* (log z) (+ 2/3 1/3)))) (/ (pow a (- t 1.0)) (exp b)))
0.6b	(/ (* x (* (exp (* y (* (log z) (+ 2/3 1/3)))) (/ (pow a (- t 1.0)) (exp b)))) y)
0.7b	(/ (pow a (- t 1.0)) (exp b))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
112×	`add-sqr-sqrt`
102×	`add-cube-cbrt` `*-un-lft-identity`
77×	`unpow-prod-up`
63×	`prod-diff`
59×	`associate-r`
30×	`add-exp-log` `add-cbrt-cube`
22×	`unpow-prod-down`
19×	`associate-/l*`
16×	`prod-exp`
15×	`div-exp`
11×	`pow1`
10×	`associate-l` `cbrt-unprod`
8×	`distribute-rgt-in` `distribute-lft-in` `sqr-pow`
7×	`cbrt-undiv` `sub-neg` `associate-*r/`
6×	`associate-/r*`
4×	`expm1-log1p-u` `exp-sum` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `pow-exp` `div-inv`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`
1×	`flip3-+` `flip-+` `pow-sub`

Counts

4 → 235

Calls

4 calls:

48.0ms	(* y (* (log z) (+ 2/3 1/3)))
83.0ms	(* (exp (* y (* (log z) (+ 2/3 1/3)))) (/ (pow a (- t 1.0)) (exp b)))
103.0ms	(/ (* x (* (exp (* y (* (log z) (+ 2/3 1/3)))) (/ (pow a (- t 1.0)) (exp b)))) y)
38.0ms	(/ (pow a (- t 1.0)) (exp b))

series761.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* y (* (log z) (+ 2/3 1/3)))
267.0ms	(* (exp (* y (* (log z) (+ 2/3 1/3)))) (/ (pow a (- t 1.0)) (exp b)))
343.0ms	(/ (* x (* (exp (* y (* (log z) (+ 2/3 1/3)))) (/ (pow a (- t 1.0)) (exp b)))) y)
91.0ms	(/ (pow a (- t 1.0)) (exp b))

simplify2.4s

Counts

247 → 247

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	438	5534
1	1056	4620
2	3240	3732
done	5001	3432

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes575.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 2.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	27
1	29	27
done	29	27

end0.0ms

sample9.4s

Algorithm

intervals

Results

3.4s	45300×	body	80	nan
1.4s	15106×	body	80	valid