Details

sample415.0ms

Algorithm

intervals

Results

139.0ms	1440×	body	80	nan
110.0ms	469×	body	80	valid

simplify929.0ms

Counts: 1 → 1

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.7b	(/ (* 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:

32.0ms	(* (- t 1.0) (log a))
18.0ms	(* y (log z))
119.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
284.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series585.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (- t 1.0) (log a))
51.0ms	(* y (log z))
192.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
261.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify867.0ms

Counts: 107 → 107

prune594.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
1.7b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite718.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
96×	`add-sqr-sqrt`
81×	`associate-r`
76×	`*-un-lft-identity`
75×	`add-cube-cbrt`
55×	`unpow-prod-down`
45×	`add-exp-log`
26×	`log-prod`
24×	`div-exp`
22×	`add-cbrt-cube`
17×	`exp-sum`
16×	`prod-exp`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-l`
8×	`pow-exp` `div-inv` `unswap-sqr`
6×	`log-pow` `cbrt-unprod`
5×	`cbrt-undiv` `sqr-pow`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `associate-*r/` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l*`

Counts

4 → 199

Calls

4 calls:

387.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
15.0ms	(* (log (/ 1 a)) t)
14.0ms	(* y (log (/ 1 z)))
290.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series1.2s

Counts

4 → 12

Calls

4 calls:

518.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
77.0ms	(* (log (/ 1 a)) t)
66.0ms	(* y (log (/ 1 z)))
523.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify616.0ms

Counts: 211 → 211

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
1.7b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
122×	`add-exp-log`
101×	`add-sqr-sqrt`
94×	`associate-r`
81×	`*-un-lft-identity`
80×	`add-cube-cbrt`
69×	`prod-exp`
56×	`div-exp`
55×	`unpow-prod-down`
34×	`add-cbrt-cube`
26×	`log-prod`
20×	`pow-exp`
19×	`pow1`
17×	`exp-sum`
14×	`cbrt-unprod`
13×	`distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `associate-l`
8×	`div-inv` `unswap-sqr`
6×	`cbrt-undiv` `pow-prod-down` `log-pow`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-r/` `-commutative` `add-log-exp`
2×	`pow-flip` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-times` `associate-*l/` `un-div-inv` `distribute-rgt-neg-out`

Counts

4 → 236

Calls

4 calls:

476.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
11.0ms	(* (log (/ 1 a)) t)
21.0ms	(* y (log (/ 1 z)))
1.2s	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

series1.2s

Counts

4 → 12

Calls

4 calls:

503.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
111.0ms	(* (log (/ 1 a)) t)
60.0ms	(* y (log (/ 1 z)))
566.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

simplify718.0ms

Counts: 248 → 248

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
0.3b	(* y (log (/ 1 z)))
1.7b	(* (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ 1 y))

rewrite6.5s

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
51×	`add-sqr-sqrt`
49×	`add-exp-log`
45×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
31×	`add-cbrt-cube`
28×	`associate-r`
27×	`prod-exp`
26×	`distribute-rgt-in` `distribute-lft-in`
25×	`pow1`
15×	`cbrt-unprod`
13×	`associate-l`
9×	`pow-prod-down` `log-pow`
8×	`sqrt-div`
7×	`associate-*r/`
6×	`div-exp`
5×	`frac-times` `associate-*l/` `div-inv`
4×	`*-commutative` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `log-rec` `inv-pow` `unswap-sqr`
2×	`distribute-rgt-neg-out`
1×	`distribute-lft-neg-out` `un-div-inv`

Counts

4 → 169

Calls

4 calls:

18.0ms	(* (log (/ 1 a)) t)
28.0ms	(* y (log (/ 1 z)))
16.0ms	(* y (log (/ 1 z)))
6.4s	(* (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ 1 y))

series714.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (log (/ 1 a)) t)
60.0ms	(* y (log (/ 1 z)))
50.0ms	(* y (log (/ 1 z)))
512.0ms	(* (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ 1 y))

simplify1.5s

Counts: 181 → 181

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes320.0ms

Accuracy

-1826.8% (26.8b remaining)

Error of 26.9b against oracle of 0.0b and baseline of 1.4b

bsearch143.0ms

Steps

Iters	Range		Point
6	1.68652144459678e+63	2.2064508809615703e+64	2.018699136318795e+64

simplify1.6s

end0.0ms

sample13.2s

Algorithm

intervals

Results

5.9s	45897×	body	80	nan
2.8s	15231×	body	80	valid