Details

sample505.0ms

Algorithm

intervals

Results

218.0ms	1521×	body	80	nan
68.0ms	485×	body	80	valid

simplify2.2s

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

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

rewrite334.0ms

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:

31.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
59.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
232.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series618.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (- t 1.0) (log a))
52.0ms	(* y (log z))
174.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
316.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.9s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2139
1	534
0	233

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize32.0ms

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))

rewrite278.0ms

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:

38.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
115.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
103.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series582.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (- t 1.0) (log a))
68.0ms	(* y (log z))
260.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.2s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	4145
1	957
0	391

prune1.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize177.0ms

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))

rewrite246.0ms

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)
65.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
100.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
79.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series857.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt y)
189.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
200.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
190.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.8s

Counts

80 → 80

Iterations

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

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

localize183.0ms

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))

rewrite233.0ms

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))
80.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
70.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
80.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series978.0ms

Counts

4 → 12

Calls

4 calls:

450.0ms	(cbrt (cbrt y))
162.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
181.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
185.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.1s

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

regimes2.6s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	42
2	42
1	40
0	32

end0.0ms

sample13.7s

Algorithm

intervals

Results

6.4s	45456×	body	80	nan
2.5s	15204×	body	80	valid