Details

sample343.0ms

Algorithm

intervals

Results

124.0ms	1324×	body	80	nan
104.0ms	508×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	65	18
3	179	16
4	487	16
5	1671	16
done	5001	16

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite427.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `prod-exp` `associate-/r*` `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×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 95

Calls

4 calls:

24.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
235.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series627.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (- t 1.0) (log a))
62.0ms	(* y (log z))
259.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
216.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	231	1531
1	493	1495
2	1465	1209
done	5000	1155

prune614.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.3b	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
0.7b	(/ (* x (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) y)
0.8b	(* (pow a (- t 1.0)) (pow z y))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
38×	`prod-exp`
32×	`div-exp`
28×	`add-sqr-sqrt`
25×	`add-cbrt-cube`
19×	`pow-to-exp` `pow-exp`
16×	`*-un-lft-identity`
15×	`unpow-prod-down`
14×	`add-cube-cbrt`
9×	`associate-l` `unswap-sqr` `sqr-pow`
8×	`cbrt-undiv`
7×	`associate-r`
6×	`times-frac` `associate-/r*` `cbrt-unprod`
5×	`pow1` `pow-unpow`
4×	`unpow-prod-up` `add-log-exp`
3×	`pow-sub`
2×	`sub-neg` `frac-2neg` `associate-l/` `clear-num` `div-inv` `associate-/l/` `associate-/l`
1×	`pow-pow` `associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 130

Calls

4 calls:

6.0ms	(pow a (- t 1.0))
26.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
55.0ms	(/ (* x (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) y)
31.0ms	(* (pow a (- t 1.0)) (pow z y))

series975.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(pow a (- t 1.0))
321.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
373.0ms	(/ (* x (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) y)
204.0ms	(* (pow a (- t 1.0)) (pow z y))

simplify1.5s

Counts

142 → 142

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	249	2335
1	640	2192
2	2407	1908
done	5001	1887

prune639.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (pow a (- t 1.0)) (pow z y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`add-exp-log`
12×	`unpow-prod-down`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `associate-l` `prod-exp` `unswap-sqr`
8×	`sqr-pow`
7×	`associate-r`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
2×	`unpow-prod-up`
1×	`sub-neg` `associate-l/` `-commutative` `cbrt-unprod` `pow-sub`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
42.0ms	(* (pow a (- t 1.0)) (pow z y))

series982.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt y)
270.0ms	(cbrt y)
256.0ms	(cbrt y)
201.0ms	(* (pow a (- t 1.0)) (pow z y))

simplify3.5s

Counts

89 → 89

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	133	879
1	287	827
2	908	776
3	3721	751
done	5000	746

prune457.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.8b	(* (pow a (- t 1.0)) (pow z y))
0.8b	(* (pow a (- t 1.0)) (pow z y))
0.8b	(* (pow a (- t 1.0)) (pow z y))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
40×	`add-exp-log`
36×	`unpow-prod-down`
27×	`associate-l` `prod-exp` `unswap-sqr`
24×	`sqr-pow`
21×	`associate-r`
18×	`pow-to-exp` `pow-exp`
17×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
6×	`unpow-prod-up`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `sub-neg` `associate-l/` `-commutative` `cbrt-unprod` `pow-sub`
1×	`pow1/3`

Counts

4 → 143

Calls

4 calls:

1.0ms	(cbrt y)
26.0ms	(* (pow a (- t 1.0)) (pow z y))
43.0ms	(* (pow a (- t 1.0)) (pow z y))
25.0ms	(* (pow a (- t 1.0)) (pow z y))

series921.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt y)
242.0ms	(* (pow a (- t 1.0)) (pow z y))
169.0ms	(* (pow a (- t 1.0)) (pow z y))
191.0ms	(* (pow a (- t 1.0)) (pow z y))

simplify3.6s

Counts

155 → 155

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	133	2117
1	287	1993
2	908	1888
3	3721	1837
done	5000	1822

prune1.0s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes727.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	18
1	21	18
done	21	18

end0.0ms

sample13.1s

Algorithm

intervals

Results

7.6s	46319×	body	80	nan
2.1s	15218×	body	80	valid