Details

sample428.0ms

Algorithm

intervals

Results

219.0ms	1546×	body	80	nan
60.0ms	512×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize52.0ms

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))

rewrite254.0ms

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:

19.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
157.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
69.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series635.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (- t 1.0) (log a))
68.0ms	(* y (log z))
300.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
191.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.7s

Counts

107 → 107

Iterations

Iter	Nodes
done	5012
2	1618
1	528
0	233

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.6b

localize87.0ms

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))

rewrite649.0ms

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:

98.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
170.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
174.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
205.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.4s

Counts

4 → 12

Calls

4 calls:

205.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
338.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
402.0ms	(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))

simplify2.5s

Counts

79 → 79

Iterations

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

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize188.0ms

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))

rewrite391.0ms

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:

25.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
204.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
154.0ms	(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))

series1.2s

Counts

4 → 12

Calls

4 calls:

169.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
344.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
362.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
356.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.8s

Counts

84 → 84

Iterations

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

prune1.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.4b

localize234.0ms

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))

rewrite704.0ms

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:

174.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
198.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
163.0ms	(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))

series1.6s

Counts

4 → 12

Calls

4 calls:

354.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
382.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
418.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
423.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.5s

Counts

76 → 76

Iterations

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

prune1.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.4b

regimes3.8s

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

sample12.0s

Algorithm

intervals

Results

6.3s	45361×	body	80	nan
2.3s	15162×	body	80	valid