Details

sample377.0ms

Algorithm

intervals

Results

162.0ms	1521×	body	80	nan
47.0ms	485×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3114
4	560
3	180
2	65
1	32
0	17

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize35.0ms

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))
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite300.0ms

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`
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 → 95

Calls

4 calls:

24.0ms	(* (- t 1.0) (log a))
10.0ms	(* y (log z))
85.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
178.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series534.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (- t 1.0) (log a))
45.0ms	(* y (log z))
157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
252.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2139
1	534
0	233

prune876.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.5b	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
85×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
77×	`add-cube-cbrt`
39×	`exp-sum`
23×	`associate-/r*`
13×	`sub-neg` `add-cbrt-cube` `associate--l+`
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` `exp-diff` `associate-/r/` `div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `rem-exp-log`
2×	`diff-log` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `sum-log` `frac-2neg` `flip3--` `flip--`

Counts

4 → 183

Calls

4 calls:

29.0ms	(* (- t 1.0) (log a))
10.0ms	(* y (log z))
118.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
79.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series546.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (- t 1.0) (log a))
52.0ms	(* y (log z))
253.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
160.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.3s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	4145
1	957
0	391

prune1.6s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize136.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
15×	`exp-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`exp-sum` `rem-exp-log`
8×	`add-cube-cbrt`
6×	`diff-log`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`cbrt-prod` `sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt y)
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series707.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt y)
148.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
161.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
154.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	2383
2	530
1	207
0	99

prune992.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

localize200.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
15×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity`
9×	`cbrt-prod` `exp-sum` `add-cube-cbrt` `rem-exp-log`
6×	`diff-log`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
68.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
63.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series819.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(cbrt (cbrt y))
160.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.5s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
3	2319
2	519
1	218
0	109

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

regimes2.4s

Accuracy

0% (0.3b remaining)

Error of 1.0b against oracle of 0.7b and baseline of 1.0b

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	41
2	41
1	39
0	32

end0.0ms

sample13.9s

Algorithm

intervals

Results

4.9s	45456×	body	80	nan
2.2s	15204×	body	80	valid