Details

sample278.0ms

Algorithm

intervals

Results

145.0ms	1335×	body	80	nan
52.0ms	415×	body	80	valid
5.0ms	10×	body	640	valid
3.0ms	9×	body	320	valid
2.0ms	2×	body	1280	valid
1.0ms	3×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1059
4	334
3	127
2	58
1	30
0	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b	(* y (- (log z) t))
4.7b	(log (- 1.0 z))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`log-prod`
10×	`pow1` `associate-r`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`associate-l` `associate--l+`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`insert-posit16`
3×	`exp-prod` `distribute-lft-out--`
2×	`log-div` `sub-neg` `flip3--` `exp-sum` `pow-prod-down` `prod-exp` `associate-r/` `log-pow` `-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr` `rem-exp-log`
1×	`sum-log` `rem-log-exp`

Counts

4 → 85

Calls

4 calls:

171.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
58.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
28.0ms	(* y (- (log z) t))
8.0ms	(log (- 1.0 z))

series507.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
157.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
94.0ms	(* y (- (log z) t))
63.0ms	(log (- 1.0 z))

simplify2.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5003
3	3532
2	1076
1	435
0	205

prune653.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b)))))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
0.1b	(* y (- (log z) t))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
15×	`associate-r`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`associate-l` `add-exp-log`
8×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
7×	`add-log-exp`
6×	`log-prod`
4×	`sub-neg` `associate-*r/` `insert-posit16`
3×	`exp-prod` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
2×	`flip3--` `exp-sum` `flip--` `difference-of-squares` `rem-exp-log`
1×	`sum-log` `log-pow`

Counts

4 → 97

Calls

4 calls:

859.0ms	(* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))
817.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b)))))
294.0ms	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
37.0ms	(* y (- (log z) t))

series616.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))
247.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b)))))
165.0ms	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
92.0ms	(* y (- (log z) t))

simplify1.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1437
1	493
0	210

prune839.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
0.1b	(* y (- (log z) t))
0.1b	(* y (- (log z) t))

rewrite576.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`log-prod` `associate-r` `associate--l+`
10×	`distribute-rgt-in` `pow1` `distribute-lft-in` `add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
6×	`exp-prod` `associate-l`
4×	`sub-neg` `associate-*r/` `insert-posit16` `distribute-lft-out--` `rem-exp-log`
2×	`sum-log` `flip3--` `exp-sum` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

263.0ms	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
234.0ms	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
41.0ms	(* y (- (log z) t))
36.0ms	(* y (- (log z) t))

series591.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
199.0ms	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
102.0ms	(* y (- (log z) t))
91.0ms	(* y (- (log z) t))

simplify2.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5003
3	2373
2	764
1	294
0	134

prune938.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))))
0.0b	(* x (log (exp (exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b)))))))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
0.1b	(* y (- (log z) t))

rewrite596.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`log-prod`
14×	`associate-r`
11×	`pow1` `exp-prod` `log-pow`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`associate-l` `associate--l+`
4×	`insert-posit16`
3×	`exp-sum`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr` `rem-exp-log`
1×	`sum-log` `flip3--` `rem-log-exp` `flip--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

37.0ms	(log (exp (exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))))
182.0ms	(* x (log (exp (exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b)))))))
333.0ms	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
40.0ms	(* y (- (log z) t))

series738.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(log (exp (exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))))
275.0ms	(* x (log (exp (exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b)))))))
205.0ms	(exp (+ (* y (- (log z) t)) (* a (- (+ (* (* (/ z 1.0) (/ z 1.0)) -1/2) (- (log 1.0) (* 1.0 z))) b))))
96.0ms	(* y (- (log z) t))

simplify2.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
3	3346
2	1060
1	399
0	193

prune989.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes523.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	33
1	33
0	25

end0.0ms

sample11.1s

Algorithm

intervals

Results

6.3s	41056×	body	80	nan
2.1s	12551×	body	80	valid
214.0ms	371×	body	640	valid
168.0ms	363×	body	320	valid
92.0ms	286×	body	160	valid
91.0ms	79×	body	1280	valid