Details

sample442.0ms

Algorithm

intervals

Results

212.0ms	1374×	body	80	nan
57.0ms	482×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3079
4	563
3	190
2	73
1	33
0	17

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `exp-sum` `add-exp-log`
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×	`associate-/r*` `times-frac` `prod-exp` `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×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 112

Calls

4 calls:

37.0ms	(* (- t 1.0) (log a))
14.0ms	(* y (log z))
88.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
247.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series600.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (- t 1.0) (log a))
72.0ms	(* y (log z))
149.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
279.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.1s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2439
1	624
0	277

prune962.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma t (- (log a)) b)
0.2b	(* x (pow a (- 1.0)))
0.8b	(/ (/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
6.9b	(/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
31×	`add-sqr-sqrt`
27×	`add-exp-log`
26×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`div-exp`
9×	`prod-exp` `associate-/l*`
7×	`cbrt-undiv` `associate-/r` `associate-r*` `fma-udef`
6×	`exp-sum` `div-inv`
4×	`expm1-log1p-u` `pow1` `pow-neg` `unpow-prod-down` `associate-*r/` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`pow-to-exp` `associate-l` `pow-exp` `cbrt-unprod` `unswap-sqr`
2×	`neg-sub0` `clear-num` `frac-2neg` `un-div-inv` `pow-sub` `sqr-pow`
1×	`*-commutative`

Counts

4 → 126

Calls

4 calls:

0.0ms	(fma t (- (log a)) b)
18.0ms	(* x (pow a (- 1.0)))
26.0ms	(/ (/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
21.0ms	(/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

series1.3s

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma t (- (log a)) b)
161.0ms	(* x (pow a (- 1.0)))
500.0ms	(/ (/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
569.0ms	(/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

simplify1.6s

Counts

138 → 138

Iterations

Iter	Nodes
done	5002
2	2987
1	620
0	255

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (- (log z)) (fma t (- (log a)) b))
0.1b	(fma t (- (log a)) b)
0.8b	(/ (/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
6.9b	(/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

1253×	`times-frac`
533×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
189×	`unpow-prod-down`
129×	`associate-/l*`
128×	`fma-udef`
126×	`exp-sum`
63×	`sqr-pow`
27×	`div-inv`
22×	`add-exp-log`
19×	`div-exp`
18×	`add-cbrt-cube`
9×	`cbrt-undiv`
7×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp` `associate-/l/`

Counts

4 → 608

Calls

4 calls:

0.0ms	(fma y (- (log z)) (fma t (- (log a)) b))
0.0ms	(fma t (- (log a)) b)
73.0ms	(/ (/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
33.0ms	(/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

series1.3s

Counts

4 → 12

Calls

4 calls:

108.0ms	(fma y (- (log z)) (fma t (- (log a)) b))
81.0ms	(fma t (- (log a)) b)
549.0ms	(/ (/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
532.0ms	(/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

simplify1.4s

Counts

620 → 620

Iterations

Iter	Nodes
done	5000
1	2711
0	1068

prune6.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (log z)) y (- b (* t (log a))))
0.2b	(/ 1 (* (/ (exp (fma (- (log z)) y (- b (* t (log a))))) x) (pow a 1.0)))
0.3b	(* t (log a))
0.8b	(/ (/ 1 (* (/ (exp (fma (- (log z)) y (- b (* t (log a))))) x) (pow a 1.0))) y)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

109×	`add-exp-log`
68×	`div-exp`
39×	`times-frac`
37×	`prod-exp`
29×	`add-sqr-sqrt` `add-cbrt-cube`
27×	`*-un-lft-identity` `add-cube-cbrt`
14×	`rec-exp` `1-exp`
12×	`pow-to-exp` `cbrt-undiv` `pow-exp`
11×	`associate-/l*`
8×	`pow1`
6×	`log-prod` `div-inv`
5×	`associate-*l/` `associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-/r` `associate-r*` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `log-pow` `*-commutative` `fma-udef` `pow-flip` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

4 → 157

Calls

4 calls:

0.0ms	(fma (- (log z)) y (- b (* t (log a))))
40.0ms	(/ 1 (* (/ (exp (fma (- (log z)) y (- b (* t (log a))))) x) (pow a 1.0)))
7.0ms	(* t (log a))
53.0ms	(/ (/ 1 (* (/ (exp (fma (- (log z)) y (- b (* t (log a))))) x) (pow a 1.0))) y)

series1.7s

Counts

4 → 12

Calls

4 calls:

128.0ms	(fma (- (log z)) y (- b (* t (log a))))
744.0ms	(/ 1 (* (/ (exp (fma (- (log z)) y (- b (* t (log a))))) x) (pow a 1.0)))
45.0ms	(* t (log a))
773.0ms	(/ (/ 1 (* (/ (exp (fma (- (log z)) y (- b (* t (log a))))) x) (pow a 1.0))) y)

simplify1.2s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	2826
1	696
0	285

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes614.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample14.7s

Algorithm

intervals

Results

7.2s	44991×	body	80	nan
2.7s	15102×	body	80	valid