Details

sample325.0ms

Algorithm

intervals

Results

180.0ms	1546×	body	80	nan
45.0ms	512×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize39.0ms

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))

rewrite260.0ms

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))
6.0ms	(* y (log z))
150.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
84.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series442.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (- t 1.0) (log a))
39.0ms	(* y (log z))
219.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
124.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5012
2	1618
1	528
0	233

prune947.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.6b

localize110.0ms

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))

rewrite525.0ms

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:

59.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
141.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
161.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
162.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

170.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
369.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
345.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
290.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
3	3479
2	833
1	309
0	148

prune960.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize132.0ms

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))

rewrite409.0ms

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:

28.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
207.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
166.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
5.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

151.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
299.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
268.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
328.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5006
3	3426
2	998
1	393
0	183

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.4b

localize169.0ms

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))

rewrite623.0ms

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:

181.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
162.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
142.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
136.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.4s

Counts

4 → 12

Calls

4 calls:

363.0ms	(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))
332.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
341.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	2063
2	557
1	216
0	107

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.4b

regimes3.4s

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify22.0ms

Iterations

Iter	Nodes
done	44
2	44
1	42
0	31

end0.0ms

sample12.2s

Algorithm

intervals

Results

6.3s	45361×	body	80	nan
2.8s	15162×	body	80	valid