Details

sample503.0ms

Algorithm

intervals

Results

273.0ms	1370×	body	80	nan
67.0ms	465×	body	80	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
5	1747
4	455
3	167
2	63
1	32
0	17

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize70.0ms

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

rewrite584.0ms

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:

52.0ms	(* (- t 1.0) (log a))
18.0ms	(* y (log z))
155.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
353.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series756.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (- t 1.0) (log a))
68.0ms	(* y (log z))
237.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
344.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify3.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1667
1	525
0	231

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.6b

localize198.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

156.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
369.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
372.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
370.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series1.2s

Counts

4 → 12

Calls

4 calls:

225.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
308.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
313.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
357.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify3.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1022
1	317
0	133

prune1.9s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize341.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

365.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
356.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
388.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
366.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

359.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
354.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
343.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
343.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify6.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	4886
2	939
1	270
0	106

prune2.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize869.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

358.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
367.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
381.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
373.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

337.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
330.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
307.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
331.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify6.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	4886
2	939
1	270
0	106

prune2.3s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.5b

regimes3.7s

Accuracy

0% (1.2b remaining)

Error of 1.9b against oracle of 0.7b and baseline of 1.9b

bsearch0.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample16.3s

Algorithm

intervals

Results

7.7s	44707×	body	80	nan
4.3s	15172×	body	80	valid