Details

sample315.0ms

Algorithm

intervals

Results

178.0ms	1573×	body	80	nan
49.0ms	490×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1760
4	460
3	167
2	63
1	32
0	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite433.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`insert-posit16`
3×	`associate-/r*` `times-frac` `exp-sum` `prod-exp` `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×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 99

Calls

4 calls:

27.0ms	(* (- t 1.0) (log a))
17.0ms	(* y (log z))
119.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
267.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series578.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (- t 1.0) (log a))
51.0ms	(* y (log z))
159.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
271.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.7s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1710
1	537
0	237

prune878.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-log-exp`
15×	`add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
10×	`exp-prod`
7×	`pow1`
6×	`log-prod` `exp-diff` `exp-sum` `rem-exp-log`
4×	`sqrt-div` `diff-log` `associate-r` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16`
3×	`distribute-rgt-in` `cbrt-undiv` `associate-/r` `distribute-lft-in` `times-frac` `div-exp` `associate-l*` `associate-/l/`
2×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

9.0ms	(* y (log z))
78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
108.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.7s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series496.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* y (log z))
123.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
127.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
205.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify2.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5005
2	1628
1	466
0	191

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.8b

localize135.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.4b	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.4b	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite5.1s

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt` `*-un-lft-identity` `exp-diff`
12×	`sqrt-div` `associate-*r/`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`cbrt-undiv` `associate-/r*` `times-frac` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
5×	`exp-prod`
4×	`pow1` `insert-posit16`
3×	`frac-times` `clear-num` `frac-2neg` `exp-sum` `associate-l/` `div-inv` `associate-/l` `rem-exp-log`
2×	`diff-log`
1×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

133.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.6s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.6s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.7s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series1.0s

Counts

4 → 12

Calls

4 calls:

169.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
268.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
280.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
295.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify2.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1255
1	376
0	151

prune1.6s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.8b

localize168.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.3s

Algorithm

rewrite-expression-head

Rules

40×	`add-cbrt-cube` `add-exp-log`
16×	`exp-diff` `sqrt-div` `associate-*r/`
12×	`add-sqr-sqrt` `cbrt-undiv` `associate-/r` `-un-lft-identity` `times-frac` `div-exp` `prod-exp` `add-cube-cbrt` `cbrt-unprod` `associate-/l/`
4×	`frac-times` `pow1` `clear-num` `frac-2neg` `associate-l/` `insert-posit16` `div-inv` `associate-/l` `add-log-exp`

Counts

4 → 108

Calls

4 calls:

1.8s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.9s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.8s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.8s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series957.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
247.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
228.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
247.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify2.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1111
1	319
0	123

prune1.7s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0.8b

regimes2.9s

Accuracy

38.3% (0.8b remaining)

Error of 1.5b against oracle of 0.7b and baseline of 2.0b

bsearch513.0ms

Steps

Iters	Range		Point
6	4.501248878042361e+138	2.886908496868437e+139	4.564051854504764e+138
8	-1.5824693290191063e-201	-2.093601214607291e-205	-1.874142655497601e-203

simplify14.0ms

Iterations

Iter	Nodes
done	52
2	52
1	50
0	42

end0.0ms

sample12.9s

Algorithm

intervals

Results

7.6s	46213×	body	80	nan
2.6s	15277×	body	80	valid