Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

276×

body

valid

simplify574.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	93	11
5	139	11
6	166	11
7	183	11
8	205	11
9	238	11
10	295	11
11	327	11
12	371	11
13	406	11
14	418	11
done	418	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.9b	(* y (/ (- z t) (- a t)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

23.0ms	(/ (- z t) (- a t))
41.0ms	(* y (/ (- z t) (- a t)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- z t) (- a t))
72.0ms	(* y (/ (- z t) (- a t)))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	138	1319
1	345	1247
2	950	1165
3	2812	1165
done	5001	1165

prune223.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.9b	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
3.1b	(cbrt (/ (- z t) (- a t)))
3.1b	(cbrt (/ (- z t) (- a t)))
3.1b	(cbrt (/ (- z t) (- a t)))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

306.0ms	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
9.0ms	(cbrt (/ (- z t) (- a t)))
9.0ms	(cbrt (/ (- z t) (- a t)))
9.0ms	(cbrt (/ (- z t) (- a t)))

series976.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
301.0ms	(cbrt (/ (- z t) (- a t)))
299.0ms	(cbrt (/ (- z t) (- a t)))
304.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.3s

Counts

160 → 160

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	208	3221
1	430	3108
2	1038	2611
3	2687	2508
done	5000	2439

prune463.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
10.2b	(* (- z t) (/ y (- a t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-l` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 83

Calls

2 calls:

10.0ms	(/ y (- a t))
43.0ms	(* (- z t) (/ y (- a t)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ y (- a t))
67.0ms	(* (- z t) (/ y (- a t)))

simplify2.0s

Counts

89 → 89

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	130	977
1	290	931
2	1085	857
3	4338	857
done	5000	857

prune217.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
3.1b	(cbrt (/ (- z t) (- a t)))
7.4b	(/ (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (/ (- z t) (- a t))))) (* (cbrt (- a t)) (cbrt (- a t))))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-div`
41×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
36×	`add-exp-log`
26×	`times-frac`
24×	`associate-*r/`
21×	`flip3--` `flip--`
20×	`frac-times` `add-cbrt-cube`
17×	`add-cube-cbrt` `associate-/l/`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`

Counts

4 → 124

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
9.0ms	(cbrt (/ (- z t) (- a t)))
213.0ms	(/ (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (/ (- z t) (- a t))))) (* (cbrt (- a t)) (cbrt (- a t))))

series678.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- z t))
150.0ms	(cbrt (- z t))
310.0ms	(cbrt (/ (- z t) (- a t)))
70.0ms	(/ (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (/ (- z t) (- a t))))) (* (cbrt (- a t)) (cbrt (- a t))))

simplify1.2s

Counts

136 → 136

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	303	3113
1	737	3001
2	2562	2554
done	5000	2405

prune463.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample576.0ms

Algorithm

intervals

Results

228.0ms	8703×	body	80	valid
0.0ms	1×	body	320	valid