Details

sample415.0ms

Algorithm

intervals

Results

224.0ms	1345×	body	80	nan
99.0ms	465×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite302.0ms

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:

16.0ms	(* (- t 1.0) (log a))
11.0ms	(* y (log z))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
193.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series545.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (- t 1.0) (log a))
48.0ms	(* y (log z))
161.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
259.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.9s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1710
1	537
0	237

prune864.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.9b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

rewrite226.0ms

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`
4×	`insert-posit16`
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 → 187

Calls

4 calls:

32.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
75.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
99.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

series601.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (- t 1.0) (log a))
68.0ms	(* y (log z))
142.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
288.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

simplify2.6s

Counts

199 → 199

Iterations

Iter	Nodes
done	5000
2	3124
1	957
0	395

prune1.9s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.8b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite265.0ms

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` `insert-posit16`
3×	`cbrt-prod` `sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt x)
112.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
73.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series792.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt x)
178.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
167.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	1676
2	494
1	210
0	102

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite232.0ms

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` `insert-posit16`
3×	`sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt (cbrt x))
75.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
74.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
80.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series831.0ms

Counts

4 → 12

Calls

4 calls:

332.0ms	(cbrt (cbrt x))
172.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
161.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.8s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
3	1684
2	501
1	221
0	112

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.7b

regimes2.5s

Accuracy

0% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 1.4b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	40
1	40
0	32

end0.0ms

sample16.8s

Algorithm

intervals

Results

9.6s	46021×	body	80	nan
3.1s	15223×	body	80	valid