Details

sample240.0ms

Algorithm

intervals

Results

85.0ms	1561×	body	80	nan
32.0ms	481×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (30.0ms)

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

prune11.0ms

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))

rewrite347.0ms

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))
224.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
85.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series494.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (- t 1.0) (log a))
44.0ms	(* y (log z))
249.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
137.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts

124 → 124

Iterations

Useful iterations: done (1.3s)

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

prune654.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* y (log z)))
0.5b	(cbrt (* y (log z)))
0.6b	(/ (* x (exp (- (+ (* (* (cbrt (* y (log z))) (cbrt (* y (log z)))) (cbrt (* y (log z)))) (* (- t 1.0) (log a))) b))) y)
1.0b	(exp (- (+ (* (* (cbrt (* y (log z))) (cbrt (* y (log z)))) (cbrt (* y (log z)))) (* (- t 1.0) (log a))) b))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

4.0ms	(cbrt (* y (log z)))
4.0ms	(cbrt (* y (log z)))
1.4s	(/ (* x (exp (- (+ (* (* (cbrt (* y (log z))) (cbrt (* y (log z)))) (cbrt (* y (log z)))) (* (- t 1.0) (log a))) b))) y)
587.0ms	(exp (- (+ (* (* (cbrt (* y (log z))) (cbrt (* y (log z)))) (cbrt (* y (log z)))) (* (- t 1.0) (log a))) b))

series739.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (* y (log z)))
153.0ms	(cbrt (* y (log z)))
266.0ms	(/ (* x (exp (- (+ (* (* (cbrt (* y (log z))) (cbrt (* y (log z)))) (cbrt (* y (log z)))) (* (- t 1.0) (log a))) b))) y)
173.0ms	(exp (- (+ (* (* (cbrt (* y (log z))) (cbrt (* y (log z)))) (cbrt (* y (log z)))) (* (- t 1.0) (log a))) b))

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	204	2580
1	444	2394
2	1214	1456
done	5001	1178

prune513.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
0.1b	(fma y (- (log z)) (fma (- (log a)) t b))
0.1b	(fma (- (log a)) t b)
0.6b	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

34×	`times-frac`
33×	`add-sqr-sqrt`
32×	`associate-r`
24×	`add-exp-log`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-cbrt-cube`
13×	`unpow-prod-down`
11×	`div-exp`
9×	`fma-udef`
8×	`prod-exp`
7×	`exp-sum`
6×	`pow1`
5×	`cbrt-undiv` `sqr-pow`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-l` `associate-/r*`
2×	`pow-to-exp` `associate-*r/` `pow-exp` `div-inv`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `associate-/l`

Counts

4 → 105

Calls

4 calls:

35.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
1.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
1.0ms	(fma (- (log a)) t b)
32.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

503.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
124.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
123.0ms	(fma (- (log a)) t b)
521.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify1.1s

Counts

117 → 117

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	253	2659
1	588	2560
2	1871	2124
done	5001	2030

prune935.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (log a)) t b)
0.2b	(* (pow a (/ (- 1.0) 2)) x)
0.6b	(/ (* (* (pow a (/ (- 1.0) 2)) x) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
3.0b	(* (* (pow a (/ (- 1.0) 2)) x) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
59×	`prod-exp`
41×	`div-exp`
36×	`add-cbrt-cube`
35×	`associate-r`
31×	`times-frac`
30×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
17×	`pow-to-exp` `pow-exp`
16×	`unpow-prod-down`
14×	`associate-*l/`
13×	`cbrt-unprod`
9×	`cbrt-undiv`
8×	`associate-l` `fma-udef`
7×	`exp-sum`
6×	`pow1` `sqr-pow`
5×	`neg-sub0` `pow-neg` `div-sub` `distribute-frac-neg` `associate-/l/` `pow-sub`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `unswap-sqr`
2×	`associate-r/` `-commutative` `div-inv`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/l*`

Counts

4 → 154

Calls

4 calls:

1.0ms	(fma (- (log a)) t b)
27.0ms	(* (pow a (/ (- 1.0) 2)) x)
43.0ms	(/ (* (* (pow a (/ (- 1.0) 2)) x) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
63.0ms	(* (* (pow a (/ (- 1.0) 2)) x) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

136.0ms	(fma (- (log a)) t b)
278.0ms	(* (pow a (/ (- 1.0) 2)) x)
655.0ms	(/ (* (* (pow a (/ (- 1.0) 2)) x) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
660.0ms	(* (* (pow a (/ (- 1.0) 2)) x) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

simplify2.5s

Counts

166 → 166

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	297	4693
1	763	4455
2	3232	3442
done	5001	3217

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes411.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	21
1	20	21
done	20	21

end0.0ms

sample9.5s

Algorithm

intervals

Results

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