Details

sample349.0ms

Algorithm

intervals

Results

156.0ms	1324×	body	80	nan
48.0ms	508×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (24.0ms)

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

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))

rewrite459.0ms

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:

38.0ms	(* (- t 1.0) (log a))
16.0ms	(* y (log z))
272.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
128.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series587.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- t 1.0) (log a))
59.0ms	(* y (log z))
270.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
191.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.1s

Counts

107 → 107

Iterations

Useful iterations: done (1.1s)

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

prune449.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 145

Calls

4 calls:

7.0ms	(pow a (- t 1.0))
20.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
40.0ms	(/ (* (- x) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) (- y))
27.0ms	(* (pow a (- t 1.0)) (pow z y))

series938.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(pow a (- t 1.0))
287.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
366.0ms	(/ (* (- x) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) (- y))
203.0ms	(* (pow a (- t 1.0)) (pow z y))

simplify1.6s

Counts

157 → 157

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	277	2720
1	740	2553
2	2945	2263
done	5000	2242

prune702.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

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))

rewrite34.0ms

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)
29.0ms	(* (pow a (- t 1.0)) (pow z y))

series1.0s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt y)
283.0ms	(cbrt y)
298.0ms	(cbrt y)
165.0ms	(* (pow a (- t 1.0)) (pow z y))

simplify3.2s

Counts

89 → 89

Iterations

Useful iterations: done (3.2s)

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

prune487.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(* (cbrt (pow a (- t 1.0))) (pow z y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`cbrt-prod`
13×	`unpow-prod-down`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `unswap-sqr`
9×	`add-exp-log` `sqr-pow`
7×	`associate-r`
5×	`add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `prod-exp`
2×	`unpow-prod-up`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `associate-l/` `pow-exp` `-commutative` `cbrt-unprod` `pow-sub`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
33.0ms	(* (cbrt (pow a (- t 1.0))) (pow z y))

series1.1s

Counts

4 → 12

Calls

4 calls:

310.0ms	(cbrt y)
275.0ms	(cbrt y)
298.0ms	(cbrt y)
235.0ms	(* (cbrt (pow a (- t 1.0))) (pow z y))

simplify1.6s

Counts

89 → 89

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	146	961
1	305	931
2	789	890
3	2536	863
done	5000	854

prune596.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes584.0ms

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

sample14.1s

Algorithm

intervals

Results

6.7s	46319×	body	80	nan
2.5s	15218×	body	80	valid