Details

sample93.0ms

Algorithm

intervals

Results

64.0ms

370×

body

valid

simplify159.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	195
5	195
4	184
3	133
2	65
1	26
0	13

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
6.2b	(* (* a z) b)

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

131.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
22.0ms	(+ (+ x (* y z)) (* t a))
23.0ms	(* (* a z) b)

series293.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
95.0ms	(+ (+ x (* y z)) (* t a))
52.0ms	(* (* a z) b)

simplify1.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1396
1	304
0	108

prune456.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

6.2b	(* (* a z) b)
13.9b	(cbrt (* (* a z) b))
13.9b	(cbrt (* (* a z) b))
13.9b	(cbrt (* (* a z) b))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

31.0ms	(* (* a z) b)
21.0ms	(cbrt (* (* a z) b))
20.0ms	(cbrt (* (* a z) b))
22.0ms	(cbrt (* (* a z) b))

series475.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* a z) b)
135.0ms	(cbrt (* (* a z) b))
153.0ms	(cbrt (* (* a z) b))
153.0ms	(cbrt (* (* a z) b))

simplify2.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2143
2	603
1	195
0	82

prune558.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

6.2b	(* (* a z) b)
11.8b	(cbrt (* a z))
13.9b	(cbrt (* (* a z) b))
13.9b	(cbrt (* (* a z) b))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

30.0ms	(* (* a z) b)
3.0ms	(cbrt (* a z))
21.0ms	(cbrt (* (* a z) b))
12.0ms	(cbrt (* (* a z) b))

series395.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* a z) b)
103.0ms	(cbrt (* a z))
134.0ms	(cbrt (* (* a z) b))
128.0ms	(cbrt (* (* a z) b))

simplify2.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2332
2	674
1	232
0	102

prune649.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.9b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.3b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
108.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
45.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series835.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt b)
260.0ms	(cbrt b)
66.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
185.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify3.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5008
3	4829
2	1043
1	279
0	105

prune513.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes496.0ms

Accuracy

87.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.9b

bsearch168.0ms

Steps

Iters	Range		Point
8	6.72681328144926e+16	1.285775793787043e+20	2.1429854807890883e+18
10	-9.651518956096097e-34	-1.719462557404048e-43	-5.754212541607782e-35

simplify7.0ms

Iterations

Iter	Nodes
done	32
1	32
0	22

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.9s

11799×

body

valid