Details

sample305.0ms

Algorithm

intervals

Results

124.0ms	1482×	body	80	nan
41.0ms	472×	body	80	valid

simplify43.0ms

Counts: 1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite379.0ms

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:

38.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
91.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
232.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series568.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (- t 1.0) (log a))
49.0ms	(* y (log z))
163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
273.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify43.0ms

Counts: 107 → 107

prune400.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(exp (- (+ (+ (* y 0) (* y (log z))) (* (- t 1.0) (log a))) b))
1.5b	(/ (* x (exp (- (+ (+ (* y 0) (* y (log z))) (* (- t 1.0) (log a))) b))) y)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`add-log-exp`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`rem-exp-log`
3×	`times-frac` `diff-log` `exp-sum` `prod-exp` `associate-/r*` `sum-log` `cbrt-unprod`
2×	`cbrt-undiv` `exp-diff` `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` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 96

Calls

4 calls:

30.0ms	(* (- t 1.0) (log a))
10.0ms	(* y (log z))
328.0ms	(exp (- (+ (+ (* y 0) (* y (log z))) (* (- t 1.0) (log a))) b))
928.0ms	(/ (* x (exp (- (+ (+ (* y 0) (* y (log z))) (* (- t 1.0) (log a))) b))) y)

series502.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- t 1.0) (log a))
41.0ms	(* y (log z))
145.0ms	(exp (- (+ (+ (* y 0) (* y (log z))) (* (- t 1.0) (log a))) b))
249.0ms	(/ (* x (exp (- (+ (+ (* y 0) (* y (log z))) (* (- t 1.0) (log a))) b))) y)

simplify51.0ms

Counts: 108 → 108

prune471.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow a (- t 1.0))
0.5b	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
0.7b	(* (pow a (- t 1.0)) (pow z y))
0.8b	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

rewrite128.0ms

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:

6.0ms	(pow a (- t 1.0))
26.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
28.0ms	(* (pow a (- t 1.0)) (pow z y))
59.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

series920.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(pow a (- t 1.0))
323.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
185.0ms	(* (pow a (- t 1.0)) (pow z y))
332.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

simplify79.0ms

Counts: 161 → 161

prune548.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp b))
0.5b	(/ (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (* y (exp b)))
0.7b	(* (* (pow a t) (pow a (- 1.0))) (pow z y))
0.8b	(* x (/ (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (* y (exp b))))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

492×	`add-exp-log`
411×	`prod-exp`
140×	`pow-to-exp` `pow-exp`
124×	`div-exp`
61×	`add-cbrt-cube`
29×	`cbrt-unprod`
15×	`associate-r`
14×	`add-sqr-sqrt`
12×	`cbrt-undiv`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`associate-l`
6×	`associate-*l/`
5×	`associate-*r/`
4×	`pow-neg` `add-log-exp`
3×	`unpow-prod-down` `*-commutative` `associate-/l/`
2×	`neg-sub0` `times-frac` `pow-prod-down` `un-div-inv` `div-inv` `pow-sub` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l` `sqr-pow`

Counts

4 → 242

Calls

4 calls:

18.0ms	(* y (exp b))
61.0ms	(/ (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (* y (exp b)))
46.0ms	(* (* (pow a t) (pow a (- 1.0))) (pow z y))
104.0ms	(* x (/ (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (* y (exp b))))

series1.3s

Counts

4 → 12

Calls

4 calls:

28.0ms	(* y (exp b))
487.0ms	(/ (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (* y (exp b)))
255.0ms	(* (* (pow a t) (pow a (- 1.0))) (pow z y))
525.0ms	(* x (/ (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (* y (exp b))))

simplify123.0ms

Counts: 254 → 254

prune454.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes539.0ms

Accuracy

-1132.8% (23.2b remaining)

Error of 23.2b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify61.0ms

end0.0ms

sample12.1s

Algorithm

intervals

Results

6.0s	45618×	body	80	nan
1.8s	15053×	body	80	valid