Details

sample467.0ms

Algorithm

intervals

Results

150.0ms	1416×	body	80	nan
131.0ms	487×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (28.0ms)

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite475.0ms

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:

27.0ms	(* (- t 1.0) (log a))
15.0ms	(* y (log z))
258.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series587.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (- t 1.0) (log a))
51.0ms	(* y (log z))
271.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
172.0ms	(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	622	1832
2	2454	1517
done	5001	1433

prune642.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

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:

45.0ms	(* 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)
31.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

492.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
145.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
102.0ms	(fma (- (log a)) t b)
513.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify1.8s

Counts

117 → 117

Iterations

Useful iterations: done (1.8s)

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

prune894.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (- (log a)) t b)
0.2b	(* x (pow a (- 1.0)))
1.0b	(/ (* (* x (pow a (- 1.0))) (/ 1 (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
6.9b	(* (* x (pow a (- 1.0))) (/ 1 (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 145

Calls

4 calls:

0.0ms	(fma (- (log a)) t b)
27.0ms	(* x (pow a (- 1.0)))
73.0ms	(/ (* (* x (pow a (- 1.0))) (/ 1 (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
65.0ms	(* (* x (pow a (- 1.0))) (/ 1 (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

119.0ms	(fma (- (log a)) t b)
132.0ms	(* x (pow a (- 1.0)))
545.0ms	(/ (* (* x (pow a (- 1.0))) (/ 1 (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
444.0ms	(* (* x (pow a (- 1.0))) (/ 1 (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

simplify6.5s

Counts

157 → 157

Iterations

Useful iterations: done (6.5s)

Iter	Nodes	Cost
0	269	3389
1	757	3077
2	4896	2561
done	5000	2560

prune813.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (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))
0.2b	(fma (- (log a)) t b)
1.8b	(/ (* x 1) (* y (* (pow a 1.0) (exp (fma y (- (log z)) (fma (- (log a)) t b))))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

31.0ms	(* (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)
42.0ms	(/ (* x 1) (* y (* (pow a 1.0) (exp (fma y (- (log z)) (fma (- (log a)) t b))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

387.0ms	(* (pow a 1.0) (exp (fma y (- (log z)) (fma (- (log a)) t b))))
137.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
107.0ms	(fma (- (log a)) t b)
531.0ms	(/ (* x 1) (* y (* (pow a 1.0) (exp (fma y (- (log z)) (fma (- (log a)) t b))))))

simplify2.0s

Counts

96 → 96

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	198	2248
1	536	2076
2	3234	1615
done	5000	1612

prune584.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes286.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	22
1	25	20
done	25	20

end0.0ms

sample13.9s

Algorithm

intervals

Results

6.9s	45437×	body	80	nan
2.1s	15323×	body	80	valid