Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

283×

body

valid

simplify505.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	33	11
3	53	11
4	85	11
5	115	11
6	143	11
7	161	11
8	187	11
9	223	11
10	296	11
11	387	11
12	450	11
13	471	11
14	472	11
done	472	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.4b	(* y (/ (- z t) (- a t)))

rewrite45.0ms

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-exp-log` `add-cbrt-cube`
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` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
11.0ms	(/ (- z t) (- a t))
27.0ms	(* y (/ (- z t) (- a t)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (* y (/ (- z t) (- a t))))
45.0ms	(/ (- z t) (- a t))
64.0ms	(* y (/ (- z t) (- a t)))

simplify684.0ms

Counts

122 → 122

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	162	1555
1	422	1454
2	1343	1368
done	5000	1368

prune273.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
3.0b	(cbrt (/ (- z t) (- a t)))
3.0b	(cbrt (/ (- z t) (- a t)))
3.0b	(cbrt (/ (- z t) (- a t)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

67.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
5.0ms	(cbrt (/ (- z t) (- a t)))
8.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
290.0ms	(cbrt (/ (- z t) (- a t)))
291.0ms	(cbrt (/ (- z t) (- a t)))
306.0ms	(cbrt (/ (- z t) (- a t)))

simplify626.0ms

Counts

288 → 288

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	291	6459
1	543	6052
2	1564	5920
done	5001	5920

prune838.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.6b	(cbrt (- z t))
3.0b	(cbrt (/ (- z t) (- a t)))
3.0b	(cbrt (/ (- z t) (- a t)))

rewrite21.0ms

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` `add-exp-log` `flip3--` `pow1/3` `associate-/r/` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`div-inv`

Counts

4 → 110

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- z t))
6.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))

series885.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- a t))
141.0ms	(cbrt (- z t))
301.0ms	(cbrt (/ (- z t) (- a t)))
298.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.1s

Counts

122 → 122

Iterations

Useful iterations: 3 (387.0ms)

Iter	Nodes	Cost
0	223	1916
1	434	1844
2	928	1790
3	2691	1740
done	5000	1740

prune446.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

3.0b	(cbrt (/ (- z t) (- a t)))
3.0b	(cbrt (/ (- z t) (- a t)))
3.0b	(cbrt (/ (- z t) (- a t)))
3.0b	(cbrt (/ (- z t) (- a t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt` `*-un-lft-identity`
124×	`cbrt-prod`
100×	`times-frac`
48×	`add-cube-cbrt`
40×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `div-inv` `add-log-exp`

Counts

4 → 160

Calls

4 calls:

5.0ms	(cbrt (/ (- z t) (- a t)))
5.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

299.0ms	(cbrt (/ (- z t) (- a t)))
301.0ms	(cbrt (/ (- z t) (- a t)))
302.0ms	(cbrt (/ (- z t) (- a t)))
306.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.0s

Counts

172 → 172

Iterations

Useful iterations: 3 (244.0ms)

Iter	Nodes	Cost
0	156	3088
1	296	2972
2	623	2896
3	1869	2864
done	5001	2864

prune749.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample529.0ms

Algorithm

intervals

Results

269.0ms	8728×	body	80	valid
0.0ms	1×	body	1280	valid