Details

sample740.0ms

Algorithm

intervals

Results

557.0ms	1546×	body	80	nan
58.0ms	512×	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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite380.0ms

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:

18.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
270.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series536.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (- t 1.0) (log a))
41.0ms	(* y (log z))
276.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
159.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	2141
1	534
0	233

prune917.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.6b

localize88.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite549.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
154.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
153.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
167.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.4s

Counts

4 → 12

Calls

4 calls:

210.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
429.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
400.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
409.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.6s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
3	4807
2	854
1	309
0	148

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize136.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite435.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`times-frac`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-up` `cbrt-div` `unpow-prod-down` `pow1/3` `div-inv`
2×	`pow-exp`
1×	`pow-to-exp` `e-exp-1` `sub-neg` `pow-pow` `associate--l+` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

33.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
213.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
179.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
7.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.5s

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
425.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
391.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
485.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1309
1	413
0	183

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.4b

localize206.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite703.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `div-inv` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

183.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
203.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
159.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
155.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.6s

Counts

4 → 12

Calls

4 calls:

399.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
467.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
337.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
385.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	2685
2	559
1	216
0	107

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.4b

regimes3.3s

Accuracy

0% (1.1b remaining)

Error of 1.7b against oracle of 0.6b and baseline of 1.7b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	39
2	39
1	37
0	28

end0.0ms

sample12.0s

Algorithm

intervals

Results

6.8s	45361×	body	80	nan
2.2s	15162×	body	80	valid