Details

sample59.0ms

Algorithm

intervals

Results

28.0ms

497×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (143.0ms)

Iter	Nodes	Cost
0	11	13
1	21	13
2	52	13
3	171	13
4	346	12
5	586	12
6	698	12
7	805	12
8	1042	12
9	1225	12
10	1228	12
done	1228	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
4.8b	(* (* y 4.0) (- (* z z) t))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

9×	`prod-diff`
8×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `add-log-exp`
3×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `difference-of-squares`
1×	`fma-neg` `diff-log` `associate-l` `*-commutative`

Counts

2 → 52

Calls

2 calls:

10.0ms	(- (* z z) t)
50.0ms	(* (* y 4.0) (- (* z z) t))

series224.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (* z z) t)
166.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.8s

Counts

58 → 58

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	108	760
1	276	662
2	912	553
3	3654	544
done	5000	502

prune139.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 80

Calls

4 calls:

152.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
10.0ms	(cbrt (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))
9.0ms	(cbrt (- (* z z) t))

series554.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
129.0ms	(cbrt (- (* z z) t))
137.0ms	(cbrt (- (* z z) t))
136.0ms	(cbrt (- (* z z) t))

simplify2.4s

Counts

92 → 92

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	124	1418
1	316	1324
2	932	1148
3	3130	1106
done	5000	1091

prune402.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.3b	(fma (- t) t (pow z 4))
4.8b	(* (* y 4.0) (/ (fma (- t) t (pow z 4)) (fma z z t)))
24.7b	(/ (fma (- t) t (pow z 4)) (fma z z t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
8×	`pow1`
6×	`prod-exp` `cbrt-unprod`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative` `fma-udef`

Counts

3 → 74

Calls

3 calls:

0.0ms	(fma (- t) t (pow z 4))
40.0ms	(* (* y 4.0) (/ (fma (- t) t (pow z 4)) (fma z z t)))
5.0ms	(/ (fma (- t) t (pow z 4)) (fma z z t))

series658.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(fma (- t) t (pow z 4))
344.0ms	(* (* y 4.0) (/ (fma (- t) t (pow z 4)) (fma z z t)))
179.0ms	(/ (fma (- t) t (pow z 4)) (fma z z t))

simplify1.7s

Counts

83 → 83

Iterations

Useful iterations: 2 (249.0ms)

Iter	Nodes	Cost
0	118	1524
1	284	1486
2	1143	1258
done	5000	1258

prune511.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.7b	(sqrt (- (* z z) t))
4.7b	(sqrt (- (* z z) t))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 97

Calls

4 calls:

76.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
163.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
37.0ms	(sqrt (- (* z z) t))
17.0ms	(sqrt (- (* z z) t))

series414.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
114.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
61.0ms	(sqrt (- (* z z) t))
105.0ms	(sqrt (- (* z z) t))

simplify2.8s

Counts

109 → 109

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	142	1771
1	385	1408
2	1343	1175
done	5000	1169

prune462.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 2.0b

regimes690.0ms

Accuracy

56.3% (1.5b remaining)

Error of 4.0b against oracle of 2.5b and baseline of 6.0b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	36
1	25	36
done	25	36

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s

15680×

body

valid