Details

sample60.0ms

Algorithm

intervals

Results

34.0ms

640×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3678
5	427
4	120
3	66
2	40
1	25
0	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* b b) 4.0)
0.0b	(+ (* a a) (* b b))
0.0b	(+ (- (pow (+ (* a a) (* b b)) 2.0) 1.0) (* (* b b) 4.0))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
3×	`pow-unpow` `sum-log` `unpow-prod-down` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`pow-to-exp` `sub-neg` `pow-pow` `diff-log` `associate-l` `pow-exp` `*-commutative` `associate-+l-` `unswap-sqr` `sqr-pow`

Counts

4 → 62

Calls

4 calls:

28.0ms	(* (* b b) 4.0)
6.0ms	(+ (* a a) (* b b))
298.0ms	(+ (- (pow (+ (* a a) (* b b)) 2.0) 1.0) (* (* b b) 4.0))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)

series406.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* b b) 4.0)
51.0ms	(+ (* a a) (* b b))
128.0ms	(+ (- (pow (+ (* a a) (* b b)) 2.0) 1.0) (* (* b b) 4.0))
195.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.7s

Counts

74 → 74

Iterations

Iter	Nodes
done	5002
2	2419
1	397
0	129

prune384.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* b b) (* a a)) 2.0)) (cbrt (pow (+ (* b b) (* a a)) 2.0)))
18.4b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
18.4b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
18.4b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

86.0ms	(* (cbrt (pow (+ (* b b) (* a a)) 2.0)) (cbrt (pow (+ (* b b) (* a a)) 2.0)))
7.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
8.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
15.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series866.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt (pow (+ (* b b) (* a a)) 2.0)) (cbrt (pow (+ (* b b) (* a a)) 2.0)))
230.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
236.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
195.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify997.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	984
1	237
0	119

prune943.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

4.5b	(exp (log (cbrt (pow (+ (* a a) (pow b 2)) 2.0))))
18.4b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
18.4b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
18.4b	(cbrt (pow (+ (* a a) (pow b 2)) 2.0))

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`unpow-prod-down`
10×	`log-prod` `exp-sum`
5×	`pow1` `exp-prod`
4×	`add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp` `sqr-pow`
2×	`log-pow`
1×	`rem-exp-log`

Counts

4 → 68

Calls

4 calls:

17.0ms	(exp (log (cbrt (pow (+ (* a a) (pow b 2)) 2.0))))
14.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
261.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
20.0ms	(cbrt (pow (+ (* a a) (pow b 2)) 2.0))

series938.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(exp (log (cbrt (pow (+ (* a a) (pow b 2)) 2.0))))
232.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
238.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
236.0ms	(cbrt (pow (+ (* a a) (pow b 2)) 2.0))

simplify740.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	1339
2	478
1	227
0	136

prune725.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* b b) 4.0)
0.0b	(+ (- (+ (pow b 4) (* (* (* (* a a) 2.0) b) b)) 1.0) (* (* b b) 4.0))
0.9b	(* (* (* a a) 2.0) b)
1.2b	(* (* (* (* a a) 2.0) b) b)

rewrite629.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
9×	`associate-r`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`sum-log`
3×	`associate-+l+` `associate-l` `*-commutative`
2×	`diff-log`
1×	`+-commutative` `sub-neg` `flip3-+` `associate--l+` `associate-+l-` `flip-+` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

25.0ms	(* (* b b) 4.0)
261.0ms	(+ (- (+ (pow b 4) (* (* (* (* a a) 2.0) b) b)) 1.0) (* (* b b) 4.0))
54.0ms	(* (* (* a a) 2.0) b)
284.0ms	(* (* (* (* a a) 2.0) b) b)

series219.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* b b) 4.0)
93.0ms	(+ (- (+ (pow b 4) (* (* (* (* a a) 2.0) b) b)) 1.0) (* (* b b) 4.0))
25.0ms	(* (* (* a a) 2.0) b)
70.0ms	(* (* (* (* a a) 2.0) b) b)

simplify2.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	3294
1	429
0	144

prune485.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes296.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.2s

20149×

body

valid