Details

sample331.0ms

Algorithm

intervals

Results

148.0ms	1442×	body	80	nan
43.0ms	451×	body	80	valid

simplify54.0ms

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `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 → 95

Calls

4 calls:

24.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
92.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
292.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series485.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (- t 1.0) (log a))
45.0ms	(* y (log z))
140.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
236.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify40.0ms

Counts: 107 → 107

prune506.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
21×	`add-exp-log`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod`
11×	`pow1`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-exp`
5×	`pow-unpow` `div-exp`
4×	`pow-exp` `add-log-exp`
3×	`unpow-prod-up` `unpow-prod-down` `times-frac` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `pow-to-exp` `e-exp-1` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `pow-sub` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `pow-pow` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `flip--` `div-inv` `associate-/l/` `associate-/l` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

32.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
24.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
33.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series508.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (- t 1.0) (log a))
45.0ms	(* y (log z))
146.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
252.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify52.0ms

Counts: 115 → 115

prune517.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
0.2b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
0.9b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite479.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
29×	`add-sqr-sqrt`
26×	`log-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
17×	`add-cbrt-cube`
16×	`div-exp`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1`
10×	`add-log-exp`
9×	`associate-r` `associate-l` `prod-exp`
6×	`log-pow`
4×	`cbrt-undiv` `pow-exp` `cbrt-unprod`
3×	`exp-prod` `associate-/r*` `sum-log` `div-inv` `rem-exp-log`
2×	`pow-flip` `log-rec` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `associate-r/` `exp-sum` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l`

Counts

4 → 113

Calls

4 calls:

130.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
11.0ms	(* (log (/ 1 a)) t)
17.0ms	(* y (log (/ 1 z)))
314.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series705.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
67.0ms	(* (log (/ 1 a)) t)
63.0ms	(* y (log (/ 1 z)))
456.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify59.0ms

Counts: 125 → 125

prune568.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-exp-log`
86×	`prod-exp`
40×	`div-exp`
36×	`add-cbrt-cube`
31×	`pow-to-exp` `pow-exp`
28×	`add-sqr-sqrt`
15×	`unpow-prod-down`
14×	`*-un-lft-identity` `cbrt-unprod`
12×	`add-cube-cbrt` `associate-r` `associate-l`
10×	`unswap-sqr`
9×	`sqr-pow`
8×	`cbrt-undiv`
7×	`pow1`
5×	`pow-unpow`
4×	`unpow-prod-up` `add-log-exp`
3×	`pow-sub`
2×	`sub-neg` `times-frac` `associate-l/` `-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 149

Calls

4 calls:

7.0ms	(pow a (- t 1.0))
23.0ms	(* (pow a (- t 1.0)) (pow z y))
27.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
52.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

series954.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(pow a (- t 1.0))
191.0ms	(* (pow a (- t 1.0)) (pow z y))
354.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
324.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

simplify92.0ms

Counts: 161 → 161

prune565.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes354.0ms

Accuracy

-1837.7% (23.2b remaining)

Error of 23.3b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify46.0ms

end0.0ms

sample12.4s

Algorithm

intervals

Results

5.7s	45706×	body	80	nan
2.5s	15320×	body	80	valid