Details

sample76.0ms

Algorithm

intervals

Results

31.0ms

333×

body

valid

simplify8.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
20	4946
19	4678
18	4407
17	4139
16	3867
15	3599
14	3328
13	3060
12	2794
11	2528
10	2251
9	1857
8	1548
7	962
6	412
5	205
4	128
3	63
2	30
1	16
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize65.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.5b	(/ (* y (- z t)) a)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`associate-/r` `sub-neg` `times-frac` `flip3--` `associate-l*` `insert-posit16` `flip--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

28.0ms	(- x (/ (* y (- z t)) a))
72.0ms	(* y (- z t))
40.0ms	(/ (* y (- z t)) a)

series301.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(- x (/ (* y (- z t)) a))
66.0ms	(* y (- z t))
123.0ms	(/ (* y (- z t)) a)

simplify6.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5129
3	3734
2	882
1	313
0	123

prune945.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize189.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
6.0b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 108

Calls

4 calls:

2.0ms	(cbrt a)
2.0ms	(cbrt a)
3.0ms	(cbrt a)
174.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt a)
348.0ms	(cbrt a)
360.0ms	(cbrt a)
154.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify4.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	2093
1	508
0	163

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize317.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
7.0b	(cbrt (/ y (* (cbrt a) (cbrt a))))
7.0b	(cbrt (/ y (* (cbrt a) (cbrt a))))
7.0b	(cbrt (/ y (* (cbrt a) (cbrt a))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
52×	`cbrt-prod`
51×	`times-frac`
42×	`*-un-lft-identity`
34×	`associate-r`
30×	`add-cube-cbrt`
10×	`associate-l`
9×	`add-exp-log` `unswap-sqr`
6×	`pow1` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
5×	`cbrt-div` `div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod`
1×	`frac-times` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 121

Calls

4 calls:

130.0ms	(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
22.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))
23.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))
14.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))

series2.1s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
321.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))
331.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))
349.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify6.8s

Counts

133 → 133

Iterations

Iter	Nodes
done	5011
3	3917
2	1341
1	451
0	185

prune2.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize490.0ms

Local error

Found 4 expressions with local error:

7.0b	(cbrt (/ y (* (cbrt a) (cbrt a))))
7.0b	(cbrt (/ y (* (cbrt a) (cbrt a))))
7.0b	(cbrt (/ y (* (cbrt a) (cbrt a))))
7.0b	(cbrt (/ y (* (cbrt a) (cbrt a))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

14.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))
24.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))
28.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))
29.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))

series1.2s

Counts

4 → 12

Calls

4 calls:

306.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))
331.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))
310.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))
302.0ms	(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify5.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
5	2708
4	794
3	303
2	156
1	82
0	52

prune1.6s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes3.1s

Accuracy

40.3% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.0b

bsearch153.0ms

Steps

Iters	Range		Point
9	1.0792454867241964e-151	1.4087004580722137e-146	1.2591825253525602e-146
9	-8.12540973971422e+111	-1.0495282834064671e+105	-1.7970758753613627e+105

simplify11.0ms

Iterations

Iter	Nodes
done	27
1	27
0	24

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

10662×

body

valid