Details

sample57.0ms

Algorithm

intervals

Results

24.0ms

495×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1451
4	445
3	160
2	50
1	19
0	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 4.0 y) (- t (* z z))) (* x x))
4.3b	(* (* 4.0 y) (- t (* z z)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`distribute-rgt-in` `add-sqr-sqrt` `associate-+l+` `sub-neg` `distribute-lft-in` `associate-r` `add-log-exp`
3×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`associate-*r/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `associate-l` `*-commutative` `flip-+` `flip--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

22.0ms	(+ (* (* 4.0 y) (- t (* z z))) (* x x))
43.0ms	(* (* 4.0 y) (- t (* z z)))

series241.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(+ (* (* 4.0 y) (- t (* z z))) (* x x))
95.0ms	(* (* 4.0 y) (- t (* z z)))

simplify987.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	5002
2	1748
1	298
0	91

prune270.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* t (* 4.0 y)) (- (pow x 2) (* z (* z (* 4.0 y)))))
0.0b	(- (pow x 2) (* z (* z (* 4.0 y))))
0.2b	(* z (* z (* 4.0 y)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-l`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `associate-r` `*-commutative` `flip-+` `flip--`

Counts

3 → 48

Calls

3 calls:

60.0ms	(+ (* t (* 4.0 y)) (- (pow x 2) (* z (* z (* 4.0 y)))))
26.0ms	(- (pow x 2) (* z (* z (* 4.0 y))))
43.0ms	(* z (* z (* 4.0 y)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(+ (* t (* 4.0 y)) (- (pow x 2) (* z (* z (* 4.0 y)))))
80.0ms	(- (pow x 2) (* z (* z (* 4.0 y))))
31.0ms	(* z (* z (* 4.0 y)))

simplify760.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	1385
1	288
0	99

prune365.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
21.0b	(cbrt (* z (* z (* y 4.0))))
21.0b	(cbrt (* z (* z (* y 4.0))))
21.0b	(cbrt (* z (* z (* y 4.0))))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

65.0ms	(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
40.0ms	(cbrt (* z (* z (* y 4.0))))
49.0ms	(cbrt (* z (* z (* y 4.0))))
42.0ms	(cbrt (* z (* z (* y 4.0))))

series705.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
141.0ms	(cbrt (* z (* z (* y 4.0))))
140.0ms	(cbrt (* z (* z (* y 4.0))))
187.0ms	(cbrt (* z (* z (* y 4.0))))

simplify565.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	780
1	240
0	95

prune589.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
9.4b	(cbrt (* (* 4.0 y) z))
21.0b	(cbrt (* z (* z (* y 4.0))))
21.0b	(cbrt (* z (* z (* y 4.0))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt z)
10.0ms	(cbrt (* (* 4.0 y) z))
30.0ms	(cbrt (* z (* z (* y 4.0))))
25.0ms	(cbrt (* z (* z (* y 4.0))))

series730.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt z)
129.0ms	(cbrt (* (* 4.0 y) z))
162.0ms	(cbrt (* z (* z (* y 4.0))))
136.0ms	(cbrt (* z (* z (* y 4.0))))

simplify610.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	1284
2	422
1	187
0	89

prune452.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes625.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

15675×

body

valid