Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

318×

body

valid

simplify81.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	58
7	58
6	55
5	52
4	46
3	39
2	29
1	16
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
2.9b	(* (/ x y) z)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l/` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 120

Calls

3 calls:

22.0ms	(/ (+ x 4) y)
92.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
21.0ms	(* (/ x y) z)

series144.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (+ x 4) y)
57.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
34.0ms	(* (/ x y) z)

simplify1.6s

Counts

129 → 129

Iterations

Iter	Nodes
done	5003
2	1456
1	416
0	168

prune556.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
8.7b	(cbrt (/ x y))
8.7b	(cbrt (/ x y))
8.7b	(cbrt (/ x y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
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` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

54.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
4.0ms	(cbrt (/ x y))
4.0ms	(cbrt (/ x y))
7.0ms	(cbrt (/ x y))

series446.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
100.0ms	(cbrt (/ x y))
100.0ms	(cbrt (/ x y))
118.0ms	(cbrt (/ x y))

simplify2.7s

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
4	3374
3	1196
2	576
1	289
0	167

prune930.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (/ x y))
8.7b	(cbrt (/ x y))
8.7b	(cbrt (/ x y))
8.7b	(cbrt (/ x y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 100

Calls

4 calls:

2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series418.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (/ x y))
114.0ms	(cbrt (/ x y))
94.0ms	(cbrt (/ x y))
104.0ms	(cbrt (/ x y))

simplify2.1s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
5	3672
4	1250
3	436
2	192
1	115
0	79

prune918.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x 4) (* x z))
2.2b	(/ (- (+ x 4) (* x z)) y)

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
4×	`add-cbrt-cube` `fma-neg` `prod-diff` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `flip3--` `diff-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sum-log` `sub-neg` `frac-2neg` `div-sub` `div-exp` `associate--l+` `div-inv`

Counts

2 → 58

Calls

2 calls:

64.0ms	(- (+ x 4) (* x z))
110.0ms	(/ (- (+ x 4) (* x z)) y)

series109.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (+ x 4) (* x z))
72.0ms	(/ (- (+ x 4) (* x z)) y)

simplify2.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	3299
2	773
1	239
0	99

prune242.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

27% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch63.0ms

Steps

Iters	Range		Point
9	-2.105317218495009e+64	-1.9938791164796219e+59	-1.492066452799628e+60

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample876.0ms

Algorithm

intervals

Results

663.0ms

10175×

body

valid