Details

sample325.0ms

Algorithm

intervals

Results

136.0ms	1395×	body	80	nan
55.0ms	479×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	73	17
3	196	16
4	600	16
5	3258	16
done	5001	16

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite340.0ms

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:

26.0ms	(* (- t 1.0) (log a))
10.0ms	(* y (log z))
89.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
211.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series502.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- t 1.0) (log a))
47.0ms	(* y (log z))
186.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
207.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.3s

Counts

124 → 124

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	275	2031
1	622	1832
2	2424	1517
done	5001	1431

prune684.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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)
1.8b	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

rewrite64.0ms

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:

31.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
0.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
0.0ms	(fma (- (log a)) t b)
28.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

483.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
126.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
107.0ms	(fma (- (log a)) t b)
415.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify1.3s

Counts

117 → 117

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	253	2659
1	656	2570
2	2981	2142
done	5000	2049

prune705.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow a (- 1.0)) (exp (pow (fma y (- (log z)) (fma (- (log a)) t b)) 1))))
0.1b	(fma y (- (log z)) (fma (- (log a)) t b))
0.1b	(fma (- (log a)) t b)
1.8b	(/ (* x (/ (pow a (- 1.0)) (exp (pow (fma y (- (log z)) (fma (- (log a)) t b)) 1)))) y)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`times-frac`
25×	`associate-r`
24×	`add-exp-log`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-cbrt-cube`
11×	`div-exp`
10×	`unpow-prod-down`
8×	`prod-exp`
6×	`pow1`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`associate-l` `associate-/r*`
2×	`pow-to-exp` `associate-*r/` `pow-exp` `fma-udef` `div-inv`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `associate-/l`

Counts

4 → 98

Calls

4 calls:

64.0ms	(* x (/ (pow a (- 1.0)) (exp (pow (fma y (- (log z)) (fma (- (log a)) t b)) 1))))
0.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
0.0ms	(fma (- (log a)) t b)
32.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (pow (fma y (- (log z)) (fma (- (log a)) t b)) 1)))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

407.0ms	(* x (/ (pow a (- 1.0)) (exp (pow (fma y (- (log z)) (fma (- (log a)) t b)) 1))))
121.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
105.0ms	(fma (- (log a)) t b)
437.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (pow (fma y (- (log z)) (fma (- (log a)) t b)) 1)))) y)

simplify1.4s

Counts

110 → 110

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	240	2744
1	624	2472
2	3001	2053
done	5000	1967

prune746.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (log a)) t b)
0.3b	(* x (pow a (/ (- 1.0) 2)))
1.8b	(/ (* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
3.0b	(* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

0.0ms	(fma (- (log a)) t b)
14.0ms	(* x (pow a (/ (- 1.0) 2)))
46.0ms	(/ (* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
74.0ms	(* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

88.0ms	(fma (- (log a)) t b)
160.0ms	(* x (pow a (/ (- 1.0) 2)))
387.0ms	(/ (* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
487.0ms	(* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

simplify409.0ms

Counts

171 → 171

Iterations

Useful iterations: done (403.0ms)

Iter	Nodes	Cost
0	296	4775
1	858	4305
done	5001	3609

prune843.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes289.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	23
1	24	21
done	24	21

end0.0ms

sample12.0s

Algorithm

intervals

Results

5.9s	44556×	body	80	nan
1.8s	15105×	body	80	valid