Details

sample312.0ms

Algorithm

intervals

Results

97.0ms	1413×	body	80	nan
91.0ms	465×	body	80	valid

simplify44.0ms

Counts: 1 → 1

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite522.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt` `add-cbrt-cube`
11×	`add-exp-log`
10×	`associate-r` `add-log-exp`
9×	`pow1`
6×	`log-prod` `associate-l` `exp-sum`
5×	`exp-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `exp-diff` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `sub-neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate--l+` `-commutative` `unswap-sqr`
1×	`frac-2neg` `clear-num` `sum-log` `log-pow` `div-inv` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

9.0ms	(* y (log z))
233.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
199.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series562.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* y (log z))
189.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
133.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
199.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify55.0ms

Counts: 100 → 100

prune390.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log (/ 1 z)))
0.2b	(log (/ 1 z))
0.3b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
1.2b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite561.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
99×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
80×	`add-cube-cbrt`
78×	`associate-r`
55×	`unpow-prod-down`
48×	`add-exp-log`
39×	`log-prod`
26×	`div-exp`
20×	`add-cbrt-cube`
17×	`exp-sum`
15×	`prod-exp`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1`
9×	`div-inv`
8×	`pow-exp`
7×	`unswap-sqr`
6×	`associate-l` `log-pow`
5×	`cbrt-undiv` `cbrt-unprod` `sqr-pow`
4×	`rem-log-exp` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-/r*`
2×	`pow-to-exp` `pow-flip` `associate-r/` `log-rec` `pow-prod-down` `-commutative` `inv-pow`
1×	`log-div` `frac-2neg` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l*`

Counts

4 → 206

Calls

4 calls:

15.0ms	(* y (log (/ 1 z)))
4.0ms	(log (/ 1 z))
310.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
222.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series938.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* y (log (/ 1 z)))
140.0ms	(log (/ 1 z))
377.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
379.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify115.0ms

Counts: 218 → 218

prune895.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
1.2b	(/ (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a))) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (pow (/ (cbrt 1) (cbrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

287×	`add-exp-log`
146×	`div-exp`
105×	`prod-exp`
43×	`pow-exp`
33×	`add-cbrt-cube`
14×	`pow-to-exp`
12×	`cbrt-undiv`
10×	`cbrt-unprod`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-r/` `associate-/r` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `div-inv` `associate-/l`

Counts

4 → 106

Calls

4 calls:

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

series1.0s

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt a)
206.0ms	(cbrt a)
201.0ms	(cbrt a)
439.0ms	(/ (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a))) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (pow (/ (cbrt 1) (cbrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify70.0ms

Counts: 118 → 118

prune500.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log (/ 1 z)))
0.2b	(log (/ 1 z))
0.3b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
1.2b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
125×	`add-exp-log`
104×	`add-sqr-sqrt`
91×	`associate-r`
86×	`*-un-lft-identity`
85×	`add-cube-cbrt`
68×	`prod-exp`
58×	`div-exp`
55×	`unpow-prod-down`
39×	`log-prod`
32×	`add-cbrt-cube`
20×	`pow-exp`
17×	`pow1` `exp-sum`
14×	`rec-exp` `1-exp`
13×	`distribute-rgt-in` `distribute-lft-in` `cbrt-unprod`
9×	`div-inv`
7×	`associate-l` `unswap-sqr`
6×	`cbrt-undiv` `log-pow`
5×	`pow-to-exp` `pow-prod-down` `sqr-pow`
4×	`associate-*r/` `rem-log-exp` `add-log-exp`
3×	`*-commutative`
2×	`pow-flip` `log-rec` `inv-pow`
1×	`frac-times` `log-div` `associate-*l/` `un-div-inv` `distribute-rgt-neg-out`

Counts

4 → 243

Calls

4 calls:

15.0ms	(* y (log (/ 1 z)))
3.0ms	(log (/ 1 z))
306.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
819.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

series929.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* y (log (/ 1 z)))
144.0ms	(log (/ 1 z))
381.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
364.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

simplify51.0ms

Counts: 255 → 255

prune932.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes476.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample10.4s

Algorithm

intervals

Results

4.7s	46341×	body	80	nan
2.1s	15267×	body	80	valid