Details

sample456.0ms

Algorithm

intervals

Results

213.0ms	1478×	body	80	nan
61.0ms	471×	body	80	valid

simplify874.0ms

Counts: 1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite513.0ms

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:

41.0ms	(* (- t 1.0) (log a))
19.0ms	(* y (log z))
128.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
321.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series605.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (- t 1.0) (log a))
62.0ms	(* y (log z))
180.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
270.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify935.0ms

Counts: 107 → 107

prune514.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)))))
0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
1.4b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite847.0ms

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:

508.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
15.0ms	(* y (log (/ 1 z)))
11.0ms	(* (log (/ 1 a)) t)
299.0ms	(/ (* 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:

541.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
67.0ms	(* y (log (/ 1 z)))
84.0ms	(* (log (/ 1 a)) t)
479.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify523.0ms

Counts: 211 → 211

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)))))
0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
1.4b	(* (* 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:

451.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
23.0ms	(* y (log (/ 1 z)))
11.0ms	(* (log (/ 1 a)) t)
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:

521.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
66.0ms	(* y (log (/ 1 z)))
92.0ms	(* (log (/ 1 a)) t)
532.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

simplify681.0ms

Counts: 248 → 248

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ 1 a))
0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
5.3b	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

rewrite539.0ms

Algorithm

rewrite-expression-head

Rules

3076×	`times-frac`
1244×	`add-sqr-sqrt`
1240×	`add-cube-cbrt` `*-un-lft-identity`
728×	`unpow-prod-down`
238×	`exp-sum`
147×	`div-inv`
72×	`associate-/l*`
56×	`sqr-pow`
48×	`add-exp-log`
39×	`log-prod` `div-exp`
20×	`add-cbrt-cube`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in` `associate-/r*`
9×	`associate-r` `associate-l` `log-pow`
8×	`cbrt-undiv` `pow-exp`
4×	`rem-log-exp` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp` `log-rec` `inv-pow`
2×	`pow-to-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-neg-out` `log-div` `frac-2neg` `clear-num` `associate-/r/` `distribute-rgt-neg-out` `associate-/l/`

Counts

4 → 1150

Calls

4 calls:

4.0ms	(log (/ 1 a))
30.0ms	(* y (log (/ 1 z)))
11.0ms	(* (log (/ 1 a)) t)
286.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

series1.1s

Counts

4 → 12

Calls

4 calls:

225.0ms	(log (/ 1 a))
44.0ms	(* y (log (/ 1 z)))
85.0ms	(* (log (/ 1 a)) t)
774.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

simplify1.7s

Counts: 1162 → 1162

prune9.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes309.0ms

Accuracy

-19.5% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.4s

end0.0ms

sample12.1s

Algorithm

intervals

Results

6.2s	45009×	body	80	nan
1.8s	15294×	body	80	valid