Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

335×

body

valid

simplify2.8s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.6b	(/ (* y (- z t)) a)

rewrite52.0ms

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:

10.0ms	(- x (/ (* y (- z t)) a))
24.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) a)

series152.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- x (/ (* y (- z t)) a))
44.0ms	(* y (- z t))
54.0ms	(/ (* y (- z t)) a)

simplify1.7s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	3308
2	841
1	308
0	123

prune306.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
4.1b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite74.0ms

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:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
63.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series951.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt a)
243.0ms	(cbrt a)
291.0ms	(cbrt a)
142.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.7s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	2095
1	508
0	163

prune521.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

2.5b	(cbrt (/ (- z t) (cbrt a)))
2.5b	(cbrt (/ (- z t) (cbrt a)))
2.5b	(cbrt (/ (- z t) (cbrt a)))
3.1b	(/ y (* (/ (cbrt a) (cbrt (/ (- z t) (cbrt a)))) (/ (cbrt a) (cbrt (/ (- z t) (cbrt a))))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

147×	`cbrt-prod`
93×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac`
57×	`add-cube-cbrt`
22×	`add-exp-log`
18×	`distribute-lft-out--` `difference-of-squares`
14×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r/` `associate-/l*`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/`

Counts

4 → 163

Calls

4 calls:

6.0ms	(cbrt (/ (- z t) (cbrt a)))
6.0ms	(cbrt (/ (- z t) (cbrt a)))
6.0ms	(cbrt (/ (- z t) (cbrt a)))
65.0ms	(/ y (* (/ (cbrt a) (cbrt (/ (- z t) (cbrt a)))) (/ (cbrt a) (cbrt (/ (- z t) (cbrt a))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

360.0ms	(cbrt (/ (- z t) (cbrt a)))
350.0ms	(cbrt (/ (- z t) (cbrt a)))
348.0ms	(cbrt (/ (- z t) (cbrt a)))
465.0ms	(/ y (* (/ (cbrt a) (cbrt (/ (- z t) (cbrt a)))) (/ (cbrt a) (cbrt (/ (- z t) (cbrt a))))))

simplify3.5s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
3	4526
2	1243
1	490
0	233

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
6.7b	(/ y (/ a (- z t)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
112×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `diff-log`

Counts

3 → 158

Calls

3 calls:

64.0ms	(- x (/ y (/ a (- z t))))
11.0ms	(/ a (- z t))
29.0ms	(/ y (/ a (- z t)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- x (/ y (/ a (- z t))))
54.0ms	(/ a (- z t))
69.0ms	(/ y (/ a (- z t)))

simplify1.8s

Counts

167 → 167

Iterations

Iter	Nodes
done	5001
2	2088
1	626
0	256

prune846.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes805.0ms

Accuracy

58.5% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 3.1b

bsearch99.0ms

Steps

Iters	Range		Point
5	1.6092474117272988e-114	6.40551636908869e-114	6.3044904655620086e-114
9	-1.442136557290824e+79	-4.217802647696024e+72	-4.2928675080966004e+72

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

581.0ms

10593×

body

valid