Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

275×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	205
1	21	205
2	35	205
3	56	205
4	96	205
5	158	205
6	249	205
7	284	205
8	355	205
9	491	205
10	810	205
11	2268	205
done	5001	205

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

7.0ms	(+ x (* y (/ (- z t) (- z a))))
17.0ms	(/ (- z t) (- z a))
36.0ms	(* y (/ (- z t) (- z a)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ x (* y (/ (- z t) (- z a))))
55.0ms	(/ (- z t) (- z a))
101.0ms	(* y (/ (- z t) (- z a)))

simplify1.3s

Counts

122 → 122

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	162	31006
1	448	28614
2	1781	28128
done	5001	28048

prune641.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
4.6b	(cbrt (/ (- z t) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

63.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))

series667.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
161.0ms	(cbrt (/ (- z t) (- z a)))
204.0ms	(cbrt (/ (- z t) (- z a)))
146.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.8s

Counts

154 → 154

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	156	65046
1	303	61425
2	638	61304
3	1935	60544
done	5000	59900

prune958.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z a))
4.6b	(cbrt (/ (- z t) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
50×	`times-frac`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-div`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `associate-/r/` `flip--` `add-log-exp`
2×	`div-inv`

Counts

4 → 110

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z a))
12.0ms	(cbrt (/ (- z t) (- z a)))
8.0ms	(cbrt (/ (- z t) (- z a)))

series742.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (- z t))
221.0ms	(cbrt (- z a))
193.0ms	(cbrt (/ (- z t) (- z a)))
167.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.7s

Counts

122 → 122

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	199	49776
1	378	46220
2	840	46220
3	2596	45360
done	5000	44552

prune852.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))
0.6b	(* (cbrt (- z t)) (cbrt (- z t)))
1.6b	(cbrt (/ (cbrt (- z t)) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

131×	`cbrt-prod`
104×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
65×	`times-frac`
42×	`add-cube-cbrt`
34×	`cbrt-div`
29×	`distribute-lft-out--`
27×	`difference-of-squares`
14×	`flip3--` `flip--`
11×	`pow1`
10×	`swap-sqr`
9×	`pow1/3`
8×	`frac-times` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `associate-l/` `associate-r/` `associate-/r/` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 168

Calls

4 calls:

17.0ms	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))
46.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
8.0ms	(cbrt (/ (cbrt (- z t)) (- z a)))
12.0ms	(cbrt (/ (- z t) (- z a)))

series955.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))
170.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
458.0ms	(cbrt (/ (cbrt (- z t)) (- z a)))
155.0ms	(cbrt (/ (- z t) (- z a)))

simplify2.6s

Counts

180 → 180

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	385	90379
1	746	80661
2	2746	80167
done	5001	79487

prune1.4s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes708.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	205
1	12	205
done	12	205

end0.0ms

sample889.0ms

Algorithm

intervals

Results

513.0ms	8710×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid