Details

sample194.0ms

Algorithm

intervals

Results

66.0ms	1413×	body	80	nan
29.0ms	463×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (27.0ms)

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: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite287.0ms

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:

22.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
76.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
177.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series420.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- t 1.0) (log a))
42.0ms	(* y (log z))
131.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
189.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.0s

Counts

124 → 124

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	275	2031
1	580	1829
2	1652	1505
done	5001	1399

prune423.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (fma y (log z) (* (- t 1.0) (log a)))) 3)
0.9b	(exp (- (pow (cbrt (fma y (log z) (* (- t 1.0) (log a)))) 3) b))
1.0b	(cbrt (fma y (log z) (* (- t 1.0) (log a))))
1.3b	(/ (* x (* (exp (- (pow (cbrt (fma y (log z) (* (- t 1.0) (log a)))) 3) b)) (exp (+ (- b) b)))) y)

rewrite899.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`exp-sum`
54×	`prod-diff`
48×	`*-un-lft-identity`
46×	`add-cube-cbrt`
29×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
13×	`add-cbrt-cube`
12×	`add-exp-log`
10×	`exp-prod`
7×	`add-log-exp`
6×	`difference-of-squares`
5×	`pow1` `exp-diff` `sqr-pow`
4×	`expm1-log1p-u` `cube-mult` `unpow3` `associate-*r/` `log1p-expm1-u`
3×	`cbrt-undiv` `pow-unpow` `times-frac` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `associate-/l/`
2×	`neg-sub0` `associate-+l-` `pow-pow` `pow1/3` `rem-exp-log`
1×	`frac-times` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `associate-l/` `pow-exp` `clear-num` `div-inv` `associate-/l` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 151

Calls

4 calls:

3.0ms	(pow (cbrt (fma y (log z) (* (- t 1.0) (log a)))) 3)
66.0ms	(exp (- (pow (cbrt (fma y (log z) (* (- t 1.0) (log a)))) 3) b))
1.0ms	(cbrt (fma y (log z) (* (- t 1.0) (log a))))
822.0ms	(/ (* x (* (exp (- (pow (cbrt (fma y (log z) (* (- t 1.0) (log a)))) 3) b)) (exp (+ (- b) b)))) y)

series1.0s

Counts

4 → 12

Calls

4 calls:

326.0ms	(pow (cbrt (fma y (log z) (* (- t 1.0) (log a)))) 3)
130.0ms	(exp (- (pow (cbrt (fma y (log z) (* (- t 1.0) (log a)))) 3) b))
368.0ms	(cbrt (fma y (log z) (* (- t 1.0) (log a))))
205.0ms	(/ (* x (* (exp (- (pow (cbrt (fma y (log z) (* (- t 1.0) (log a)))) 3) b)) (exp (+ (- b) b)))) y)

simplify1.5s

Counts

163 → 163

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	374	5577
1	953	3613
2	2918	2751
done	5000	2629

prune521.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (- (log z)) (fma (- (log a)) t b))
0.1b	(fma (- (log a)) t b)
1.0b	(/ x (* (* y (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
3.9b	(* (* y (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-cbrt-cube`
14×	`prod-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-unprod`
5×	`div-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `fma-udef` `associate-/l*`
2×	`pow-to-exp` `pow-exp`
1×	`frac-2neg` `associate-l` `exp-sum` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 69

Calls

4 calls:

0.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
0.0ms	(fma (- (log a)) t b)
24.0ms	(/ x (* (* y (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
30.0ms	(* (* y (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

series843.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
89.0ms	(fma (- (log a)) t b)
380.0ms	(/ x (* (* y (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
280.0ms	(* (* y (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

simplify847.0ms

Counts

81 → 81

Iterations

Useful iterations: done (844.0ms)

Iter	Nodes	Cost
0	165	1749
1	396	1685
2	1503	1319
done	5000	1276

prune335.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (log z) y (* (log a) t))
0.3b	(* (log a) t)
1.0b	(/ x (* (* y (pow a 1.0)) (exp (- b (fma (log z) y (* (log a) t))))))
3.9b	(* (* y (pow a 1.0)) (exp (- b (fma (log z) y (* (log a) t)))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`add-sqr-sqrt` `associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
11×	`exp-sum`
9×	`pow1` `prod-diff`
7×	`cbrt-unprod`
5×	`div-exp` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `associate-/l*`
2×	`pow-to-exp` `exp-diff` `associate-r/` `pow-prod-down` `pow-exp` `-commutative`
1×	`sub-neg` `frac-2neg` `clear-num` `associate-/r*` `associate-/r/` `log-pow` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma (log z) y (* (log a) t))
8.0ms	(* (log a) t)
55.0ms	(/ x (* (* y (pow a 1.0)) (exp (- b (fma (log z) y (* (log a) t))))))
66.0ms	(* (* y (pow a 1.0)) (exp (- b (fma (log z) y (* (log a) t)))))

series859.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(fma (log z) y (* (log a) t))
61.0ms	(* (log a) t)
376.0ms	(/ x (* (* y (pow a 1.0)) (exp (- b (fma (log z) y (* (log a) t))))))
271.0ms	(* (* y (pow a 1.0)) (exp (- b (fma (log z) y (* (log a) t)))))

simplify1.0s

Counts

104 → 104

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	222	1994
1	534	1842
2	1821	1525
done	5001	1454

prune393.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes427.0ms

Accuracy

58.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	42
1	35	42
done	35	42

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.2s	45755×	body	80	nan
879.0ms	15291×	body	80	valid