Details

sample57.0ms

Algorithm

intervals

Results

39.0ms

621×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4618
5	1889
4	575
3	160
2	62
1	29
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1)
0.0b	(* 4 (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite485.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
16×	`add-cube-cbrt`
11×	`add-exp-log` `add-log-exp`
10×	`pow1`
9×	`add-cbrt-cube` `prod-diff`
8×	`fma-def`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `fma-neg` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sum-log` `diff-log` `unpow2` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `expm1-def` `sub-neg` `pow-pow` `flip3-+` `flip3--` `difference-of-sqr-1` `associate-r` `pow-exp` `associate--l+` `*-commutative` `flip-+` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

359.0ms	(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1)
24.0ms	(* 4 (* b b))
86.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
15.0ms	(pow (+ (* a a) (* b b)) 2)

series272.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1)
45.0ms	(* 4 (* b b))
91.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
39.0ms	(pow (+ (* a a) (* b b)) 2)

simplify1.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5004
2	1408
1	424
0	155

prune508.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite106.0ms

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:

67.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series515.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
135.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
129.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
119.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify2.3s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
4	4672
3	1423
2	598
1	258
0	126

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

15.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series579.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
144.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
140.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5038
4	2271
3	687
2	225
1	100
0	54

prune811.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize130.0ms

Local error

Found 4 expressions with local error:

17.3b	(cbrt (* (cbrt (fma a a (* b b))) (fma a a (* b b))))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unpow2` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

4.0ms	(cbrt (* (cbrt (fma a a (* b b))) (fma a a (* b b))))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series599.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (* (cbrt (fma a a (* b b))) (fma a a (* b b))))
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
131.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
144.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify2.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
4	3426
3	1044
2	349
1	152
0	83

prune844.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes545.0ms

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
done	17
1	17
0	12

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.1s

20480×

body

valid