Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

291×

body

valid

simplify1.6s

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: 1.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.1b	(* y (/ (- z t) (- a t)))

rewrite70.0ms

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

Counts

2 → 102

Calls

2 calls:

16.0ms	(/ (- z t) (- a t))
50.0ms	(* y (/ (- z t) (- a t)))

series147.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- z t) (- a t))
88.0ms	(* y (/ (- z t) (- a t)))

simplify984.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1516
1	374
0	138

prune470.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
2.1b	(* y (* (- z t) (/ 1 (- a t))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-l` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

3 → 119

Calls

3 calls:

10.0ms	(/ 1 (- a t))
49.0ms	(* (- z t) (/ 1 (- a t)))
55.0ms	(* y (* (- z t) (/ 1 (- a t))))

series217.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ 1 (- a t))
63.0ms	(* (- z t) (/ 1 (- a t)))
80.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify2.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	3058
1	408
0	158

prune577.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

2.1b	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
3.2b	(cbrt (/ (- z t) (- a t)))
3.2b	(cbrt (/ (- z t) (- a t)))
3.2b	(cbrt (/ (- z t) (- a t)))

rewrite452.0ms

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` `div-inv` `flip--`
1×	`associate-r` `*-commutative`

Counts

4 → 148

Calls

4 calls:

401.0ms	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
14.0ms	(cbrt (/ (- z t) (- a t)))
15.0ms	(cbrt (/ (- z t) (- a t)))
15.0ms	(cbrt (/ (- z t) (- a t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

106.0ms	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
366.0ms	(cbrt (/ (- z t) (- a t)))
403.0ms	(cbrt (/ (- z t) (- a t)))
410.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.3s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
2	1134
1	446
0	208

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
2.1b	(* y (* (* (cbrt (/ (- z t) (- a t))) (/ (cbrt (- z t)) (cbrt (- a t)))) (cbrt (/ (- z t) (- a t)))))
3.2b	(cbrt (/ (- z t) (- a t)))
3.2b	(cbrt (/ (- z t) (- a t)))

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`cbrt-prod`
50×	`times-frac`
28×	`add-cube-cbrt`
21×	`distribute-lft-out--` `difference-of-squares`
18×	`add-exp-log`
13×	`pow1`
12×	`cbrt-div`
11×	`add-cbrt-cube`
10×	`associate-*r/`
9×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`frac-times` `associate-*l/`
4×	`associate-/r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `flip--`
2×	`div-inv`
1×	`cbrt-undiv` `div-exp` `associate-r` `*-commutative`

Counts

4 → 125

Calls

4 calls:

3.0ms	(cbrt (- a t))
305.0ms	(* y (* (* (cbrt (/ (- z t) (- a t))) (/ (cbrt (- z t)) (cbrt (- a t)))) (cbrt (/ (- z t) (- a t)))))
8.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (- a t))
74.0ms	(* y (* (* (cbrt (/ (- z t) (- a t))) (/ (cbrt (- z t)) (cbrt (- a t)))) (cbrt (/ (- z t) (- a t)))))
388.0ms	(cbrt (/ (- z t) (- a t)))
364.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	1629
1	573
0	256

prune899.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes813.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample857.0ms

Algorithm

intervals

Results

431.0ms	8760×	body	80	valid
0.0ms	1×	body	320	valid