Details

sample857.0ms

Algorithm

intervals

Results

621.0ms	1482×	body	80	nan
55.0ms	472×	body	80	valid

simplify76.0ms

Counts: 1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

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)

rewrite352.0ms

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:

34.0ms	(* (- t 1.0) (log a))
15.0ms	(* y (log z))
91.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
210.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series619.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (- t 1.0) (log a))
47.0ms	(* y (log z))
221.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
271.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify57.0ms

Counts: 107 → 107

prune615.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
18×	`add-exp-log`
15×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `exp-diff`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`add-cube-cbrt` `exp-sum` `rem-exp-log`
7×	`associate-/l/`
6×	`diff-log` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`sub-neg` `times-frac` `associate--l+` `associate-/r*` `sum-log` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 89

Calls

4 calls:

100.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
109.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
98.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0s	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series848.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
184.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
207.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
288.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify66.0ms

Counts: 101 → 101

prune800.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))
0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
5.7b	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

rewrite715.0ms

Algorithm

rewrite-expression-head

Rules

3180×	`times-frac`
1295×	`add-sqr-sqrt`
1291×	`add-cube-cbrt` `*-un-lft-identity`
793×	`unpow-prod-down`
256×	`exp-sum`
152×	`div-inv`
89×	`associate-/l*`
61×	`sqr-pow`
49×	`add-exp-log`
45×	`div-exp`
26×	`log-prod`
22×	`add-cbrt-cube`
17×	`associate-/r*`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1` `pow-exp`
9×	`cbrt-undiv` `associate-r` `associate-l`
6×	`log-pow`
4×	`add-log-exp`
3×	`pow-to-exp` `rec-exp` `1-exp`
2×	`pow-flip` `frac-2neg` `log-rec` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `associate-/r/` `distribute-rgt-neg-out` `associate-/l/`

Counts

4 → 1227

Calls

4 calls:

199.0ms	(/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))
21.0ms	(* y (log (/ 1 z)))
11.0ms	(* (log (/ 1 a)) t)
309.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

series1.5s

Counts

4 → 12

Calls

4 calls:

474.0ms	(/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))
72.0ms	(* y (log (/ 1 z)))
104.0ms	(* (log (/ 1 a)) t)
842.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

simplify405.0ms

Counts: 1239 → 1239

prune9.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

12891×	`times-frac`
4968×	`add-sqr-sqrt`
4964×	`add-cube-cbrt` `*-un-lft-identity`
2392×	`unpow-prod-down`
782×	`exp-sum`
469×	`div-inv`
292×	`associate-/l*`
184×	`sqr-pow`
123×	`div-exp`
122×	`add-exp-log`
34×	`add-cbrt-cube`
26×	`log-prod`
20×	`pow-exp`
18×	`cbrt-undiv`
16×	`associate-/r*`
13×	`distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp`
12×	`pow1`
9×	`associate-r` `associate-l`
6×	`log-pow`
5×	`pow-to-exp`
4×	`add-log-exp`
2×	`pow-flip` `frac-2neg` `log-rec` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `associate-/r/` `distribute-rgt-neg-out`

Counts

4 → 3524

Calls

4 calls:

291.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) y)
28.0ms	(* y (log (/ 1 z)))
22.0ms	(* (log (/ 1 a)) t)
414.0ms	(/ (/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) y) (/ 1 x))

series1.3s

Counts

4 → 12

Calls

4 calls:

500.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) y)
48.0ms	(* y (log (/ 1 z)))
73.0ms	(* (log (/ 1 a)) t)
703.0ms	(/ (/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) y) (/ 1 x))

simplify1.1s

Counts: 3536 → 3536

prune28.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes324.0ms

Accuracy

-1752.8% (25.1b remaining)

Error of 25.1b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify64.0ms

end0.0ms

sample13.4s

Algorithm

intervals

Results

6.5s	45618×	body	80	nan
2.3s	15053×	body	80	valid