Details

sample371.0ms

Algorithm

intervals

Results

158.0ms	1317×	body	80	nan
67.0ms	491×	body	80	valid

simplify904.0ms

Counts: 1 → 1

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

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 (log z)) (* (- t 1.0) (log a))) b))
1.9b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite456.0ms

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:

25.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
90.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
330.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series594.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (- t 1.0) (log a))
60.0ms	(* y (log z))
181.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
277.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify842.0ms

Counts: 107 → 107

prune555.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.9b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite113.0ms

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:

34.0ms	(* (- t 1.0) (log a))
17.0ms	(* y (log z))
33.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
25.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series552.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (- t 1.0) (log a))
45.0ms	(* y (log z))
156.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
276.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.2s

Counts: 115 → 115

prune662.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
1.9b	(/ (/ (* x (pow (/ 1 a) 1.0)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) y)
4.9b	(/ (* x (pow (/ 1 a) 1.0)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))

rewrite402.0ms

Algorithm

rewrite-expression-head

Rules

62×	`times-frac`
45×	`add-sqr-sqrt`
43×	`add-exp-log`
41×	`add-cube-cbrt` `*-un-lft-identity`
26×	`log-prod` `div-exp`
22×	`add-cbrt-cube`
14×	`prod-exp`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1`
9×	`associate-r` `associate-l` `associate-/l*`
8×	`pow-exp` `div-inv`
7×	`cbrt-undiv` `associate-/r*`
6×	`exp-sum` `log-pow`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `log-rec` `pow-prod-down` `clear-num` `*-commutative` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out` `associate-/l/`

Counts

4 → 155

Calls

4 calls:

23.0ms	(* y (log (/ 1 z)))
11.0ms	(* (log (/ 1 a)) t)
195.0ms	(/ (/ (* x (pow (/ 1 a) 1.0)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) y)
164.0ms	(/ (* x (pow (/ 1 a) 1.0)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))

series1.1s

Counts

4 → 12

Calls

4 calls:

44.0ms	(* y (log (/ 1 z)))
92.0ms	(* (log (/ 1 a)) t)
520.0ms	(/ (/ (* x (pow (/ 1 a) 1.0)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) y)
489.0ms	(/ (* x (pow (/ 1 a) 1.0)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))

simplify1.6s

Counts: 167 → 167

prune891.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 a)) t)
1.5b	(* (/ x (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ (/ (pow (/ 1 a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

1053×	`times-frac`
600×	`add-sqr-sqrt`
441×	`*-un-lft-identity`
435×	`add-cube-cbrt`
385×	`associate-r`
291×	`unpow-prod-down`
243×	`sqrt-prod`
76×	`add-exp-log`
54×	`exp-sum`
40×	`associate-l`
39×	`unswap-sqr`
38×	`div-exp`
31×	`add-cbrt-cube`
28×	`div-inv`
27×	`sqr-pow`
26×	`log-prod`
19×	`prod-exp`
18×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in`
9×	`cbrt-undiv` `log-pow` `cbrt-unprod`
8×	`pow-exp`
4×	`pow-prod-down` `*-commutative` `add-log-exp`
3×	`pow-flip` `log-rec` `inv-pow`
2×	`distribute-lft-neg-out` `pow-to-exp` `rec-exp` `1-exp`
1×	`frac-times` `associate-r/` `associate-l/` `distribute-rgt-neg-out`

Counts

4 → 560

Calls

4 calls:

17.0ms	(* y (log (/ 1 z)))
15.0ms	(* (log (/ 1 a)) t)
12.0ms	(* (log (/ 1 a)) t)
1.2s	(* (/ x (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ (/ (pow (/ 1 a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

series666.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* y (log (/ 1 z)))
80.0ms	(* (log (/ 1 a)) t)
83.0ms	(* (log (/ 1 a)) t)
456.0ms	(* (/ x (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ (/ (pow (/ 1 a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

simplify1.8s

Counts: 572 → 572

prune4.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes337.0ms

Accuracy

61.7% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 1.6b

bsearch186.0ms

Steps

Iters	Range		Point
8	2.1122857099489256e+164	1.2251889140031236e+168	2.425819830564266e+164

simplify1.3s

end0.0ms

sample12.9s

Algorithm

intervals

Results

5.9s	44429×	body	80	nan
2.6s	15195×	body	80	valid