Details

sample91.0ms

Algorithm

intervals

Results

71.0ms

661×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
6	4855
5	1985
4	584
3	159
2	60
1	27
0	12

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `pow1` `add-exp-log`
9×	`fma-def` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`add-log-exp`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `flip3-+` `flip-+` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

8.0ms	(+ (* a a) (* b b))
67.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
21.0ms	(* 4 (* b b))
8.0ms	(pow (+ (* a a) (* b b)) 2)

series242.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* a a) (* b b))
106.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
49.0ms	(* 4 (* b b))
42.0ms	(pow (+ (* a a) (* b b)) 2)

simplify3.9s

Counts

92 → 92

Iterations

Iter	Nodes
3	5887
2	1500
1	359
0	121

prune488.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
52×	`add-sqr-sqrt`
31×	`unpow-prod-down`
25×	`unswap-sqr`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`unpow2` `sqr-pow`
11×	`pow1` `swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 136

Calls

4 calls:

92.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
22.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series585.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
127.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.6s

Counts

148 → 148

Iterations

Iter	Nodes
4	3307
3	1126
2	518
1	238
0	126

prune966.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

9.4b	(cbrt (+ (* a a) (* b b)))
9.4b	(cbrt (+ (* a a) (* b b)))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

8.0ms	(cbrt (+ (* a a) (* b b)))
9.0ms	(cbrt (+ (* a a) (* b b)))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series524.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (+ (* a a) (* b b)))
116.0ms	(cbrt (+ (* a a) (* b b)))
141.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
131.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify4.7s

Counts

82 → 82

Iterations

Iter	Nodes
4	6414
3	1791
2	567
1	203
0	91

prune632.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

9.4b	(cbrt (+ (* a a) (* b b)))
9.4b	(cbrt (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (cbrt (+ (* a a) (* b b)))))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

82×	`cbrt-div`
28×	`frac-times` `flip3-+` `flip-+`
20×	`cbrt-prod`
14×	`associate-*l/`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`associate-*r/`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`unpow2` `sqr-pow`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 93

Calls

4 calls:

7.0ms	(cbrt (+ (* a a) (* b b)))
65.0ms	(cbrt (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (cbrt (+ (* a a) (* b b)))))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series500.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (+ (* a a) (* b b)))
104.0ms	(cbrt (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (cbrt (+ (* a a) (* b b)))))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
133.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify940.0ms

Counts

105 → 105

Iterations

Iter	Nodes
3	2156
2	742
1	337
0	188

prune891.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes686.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	15
1	15
0	12

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.7s

20442×

body

valid