Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

335×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	2921
10	1184
9	536
8	314
7	199
6	167
5	132
4	100
3	61
2	33
1	15
0	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
8.8b	(* (/ x y) (- z t))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 100

Calls

2 calls:

27.0ms	(+ (* (/ x y) (- z t)) t)
34.0ms	(* (/ x y) (- z t))

series129.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* (/ x y) (- z t)) t)
85.0ms	(* (/ x y) (- z t))

simplify1.5s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	1612
1	499
0	182

prune504.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ y x)) t)
9.1b	(/ (- z t) (/ y x))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `div-sub` `associate-/r/` `insert-posit16` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip3--` `associate-+l-` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 190

Calls

2 calls:

127.0ms	(+ (/ (- z t) (/ y x)) t)
32.0ms	(/ (- z t) (/ y x))

series112.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (/ (- z t) (/ y x)) t)
62.0ms	(/ (- z t) (/ y x))

simplify1.4s

Counts

196 → 196

Iterations

Iter	Nodes
done	5000
2	2008
1	671
0	225

prune885.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.9b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
7.0b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 176

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
267.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
82.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series560.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (- z t))
187.0ms	(cbrt (- z t))
64.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
131.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify1.7s

Counts

188 → 188

Iterations

Iter	Nodes
done	5002
2	2172
1	811
0	305

prune776.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x (- z t)) y) t)
0.0b	(* x (- z t))
3.8b	(/ (* x (- z t)) y)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
7×	`fma-def`
6×	`times-frac`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-/r` `associate-l*` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 95

Calls

3 calls:

37.0ms	(+ (/ (* x (- z t)) y) t)
39.0ms	(* x (- z t))
26.0ms	(/ (* x (- z t)) y)

series149.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (/ (* x (- z t)) y) t)
38.0ms	(* x (- z t))
73.0ms	(/ (* x (- z t)) y)

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	4396
2	1178
1	433
0	172

prune395.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes339.0ms

Accuracy

-30.4% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.2b

bsearch69.0ms

Steps

Iters	Range		Point
10	2.1741099978573897e+95	3.974905491533812e+107	2.2006569390389888e+95
8	-8.716081075015043e+209	-1.2766124901423475e+206	-1.2142764963497153e+208

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

559.0ms

10715×

body

valid