Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

280×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	2304
10	835
9	508
8	366
7	295
6	258
5	156
4	95
3	55
2	34
1	20
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
3.3b	(* y (/ (- z t) (- a t)))

rewrite87.0ms

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:

5.0ms	(+ x (* y (/ (- z t) (- a t))))
22.0ms	(/ (- z t) (- a t))
56.0ms	(* y (/ (- z t) (- a t)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ x (* y (/ (- z t) (- a t))))
81.0ms	(/ (- z t) (- a t))
87.0ms	(* y (/ (- z t) (- a t)))

simplify1.1s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1783
1	446
0	162

prune505.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
6.9b	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 136

Calls

4 calls:

5.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))
121.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series806.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt (- a t))
197.0ms	(cbrt (- a t))
198.0ms	(cbrt (- a t))
207.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify2.1s

Counts

148 → 148

Iterations

Iter	Nodes
done	5001
2	3725
1	678
0	224

prune945.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

3.3b	(* y (/ (- z t) (- a t)))
5.4b	(cbrt (* y (/ (- z t) (- a t))))
5.4b	(cbrt (* y (/ (- z t) (- a t))))
5.4b	(cbrt (* y (/ (- z t) (- a t))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `flip--`

Counts

4 → 80

Calls

4 calls:

34.0ms	(* y (/ (- z t) (- a t)))
10.0ms	(cbrt (* y (/ (- z t) (- a t))))
13.0ms	(cbrt (* y (/ (- z t) (- a t))))
10.0ms	(cbrt (* y (/ (- z t) (- a t))))

series894.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* y (/ (- z t) (- a t)))
311.0ms	(cbrt (* y (/ (- z t) (- a t))))
249.0ms	(cbrt (* y (/ (- z t) (- a t))))
255.0ms	(cbrt (* y (/ (- z t) (- a t))))

simplify977.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1320
1	356
0	143

prune673.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ a t))
0.0b	(/ (- z t) (- a t))
1.5b	(* (/ y (+ a t)) (/ (- z t) (- a t)))
16.0b	(* (* (/ y (+ a t)) (/ (- z t) (- a t))) (+ a t))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
101×	`add-sqr-sqrt`
78×	`times-frac`
45×	`add-cube-cbrt`
38×	`add-cbrt-cube` `add-exp-log`
35×	`associate-r`
22×	`distribute-lft-out--` `difference-of-squares`
19×	`associate-l`
13×	`prod-exp` `cbrt-unprod`
11×	`pow1`
10×	`frac-times` `cbrt-undiv` `div-exp`
9×	`associate-/r*`
8×	`associate-/r/` `distribute-lft-out` `associate-/l*`
7×	`associate-*l/`
6×	`flip3-+` `associate-*r/` `flip-+`
4×	`pow-prod-down` `div-inv` `add-log-exp` `unswap-sqr`
3×	`flip3--` `flip--`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `div-sub`

Counts

4 → 196

Calls

4 calls:

9.0ms	(/ y (+ a t))
17.0ms	(/ (- z t) (- a t))
73.0ms	(* (/ y (+ a t)) (/ (- z t) (- a t)))
77.0ms	(* (* (/ y (+ a t)) (/ (- z t) (- a t))) (+ a t))

series529.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ y (+ a t))
71.0ms	(/ (- z t) (- a t))
200.0ms	(* (/ y (+ a t)) (/ (- z t) (- a t)))
217.0ms	(* (* (/ y (+ a t)) (/ (- z t) (- a t))) (+ a t))

simplify816.0ms

Counts

208 → 208

Iterations

Iter	Nodes
done	5001
1	845
0	248

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes820.0ms

Accuracy

69% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch90.0ms

Steps

Iters	Range		Point
8	7.258772702001939e-81	3.5782274853577514e-78	4.106049947800754e-80
7	-3.947750891266293e-23	-9.624778824023244e-25	-2.2782231672574248e-23

simplify6.0ms

Iterations

Iter	Nodes
done	31
1	31
0	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

737.0ms	8753×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid