Details

sample359.0ms

Algorithm

intervals

Results

118.0ms	1524×	body	80	nan
90.0ms	506×	body	80	valid

simplify787.0ms

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite384.0ms

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:

29.0ms	(* (- t 1.0) (log a))
11.0ms	(* y (log z))
206.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
134.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series534.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (- t 1.0) (log a))
56.0ms	(* y (log z))
261.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
141.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify747.0ms

Counts: 107 → 107

prune563.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite826.0ms

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:

432.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
12.0ms	(* (log (/ 1 a)) t)
17.0ms	(* y (log (/ 1 z)))
353.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

568.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
82.0ms	(* (log (/ 1 a)) t)
46.0ms	(* y (log (/ 1 z)))
390.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify650.0ms

Counts: 211 → 211

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.7s

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:

425.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
15.0ms	(* (log (/ 1 a)) t)
19.0ms	(* y (log (/ 1 z)))
1.2s	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

series1.1s

Counts

4 → 12

Calls

4 calls:

445.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
92.0ms	(* (log (/ 1 a)) t)
53.0ms	(* y (log (/ 1 z)))
471.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

simplify659.0ms

Counts: 248 → 248

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
1.1b	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
1.1b	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
1.1b	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

rewrite4.4s

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
60×	`prod-exp`
48×	`div-exp`
25×	`add-cbrt-cube`
16×	`pow-exp`
13×	`associate-r`
12×	`rec-exp` `cbrt-div` `1-exp` `associate-*r/`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
9×	`pow1` `times-frac`
5×	`cbrt-undiv`
4×	`frac-times` `pow-to-exp` `associate-*l/` `un-div-inv` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 105

Calls

4 calls:

1.2s	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
1.0s	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
1.1s	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
1.2s	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

series2.4s

Counts

4 → 12

Calls

4 calls:

471.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
610.0ms	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
685.0ms	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
672.0ms	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

simplify1.1s

Counts: 117 → 117

prune695.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes313.0ms

Accuracy

-1829.6% (23.1b remaining)

Error of 23.2b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.5s

end0.0ms

sample14.1s

Algorithm

intervals

Results

6.6s	46268×	body	80	nan
2.5s	15326×	body	80	valid