Details

sample41.0ms

Algorithm

intervals

Results

21.0ms

324×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
15	4637
14	3604
13	1771
12	909
11	592
10	461
9	348
8	266
7	202
6	169
5	138
4	96
3	56
2	25
1	14
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.7b	(* (- y x) (/ z t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 51

Calls

2 calls:

6.0ms	(+ x (* (- y x) (/ z t)))
19.0ms	(* (- y x) (/ z t))

series116.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ x (* (- y x) (/ z t)))
52.0ms	(* (- y x) (/ z t))

simplify2.9s

Counts

57 → 57

Iterations

Iter	Nodes
done	5010
3	4834
2	1041
1	310
0	117

prune294.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.4b	(/ (- y x) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`cbrt-prod` `cbrt-undiv` `div-exp` `add-cube-cbrt`
5×	`times-frac` `associate-/l*`
4×	`pow1` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-/r/`
2×	`distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `flip3--` `div-sub` `associate-l/` `associate-*r/` `div-inv` `flip--`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
18.0ms	(/ (- y x) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z))))

series970.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt z)
284.0ms	(cbrt z)
284.0ms	(cbrt z)
199.0ms	(/ (- y x) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z))))

simplify1.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1061
1	360
0	141

prune502.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
2.7b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
3.1b	(* (cbrt (- y x)) (/ z t))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`prod-exp` `add-cube-cbrt` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 156

Calls

4 calls:

3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
64.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
18.0ms	(* (cbrt (- y x)) (/ z t))

series785.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (- y x))
213.0ms	(cbrt (- y x))
66.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
267.0ms	(* (cbrt (- y x)) (/ z t))

simplify2.4s

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
2	2241
1	841
0	278

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
9.8b	(cbrt (/ z t))
9.8b	(cbrt (/ z t))
9.8b	(cbrt (/ z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`frac-times` `pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

31.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms	(cbrt (/ z t))
1.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series462.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
97.0ms	(cbrt (/ z t))
107.0ms	(cbrt (/ z t))
106.0ms	(cbrt (/ z t))

simplify1.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5013
3	2819
2	841
1	341
0	164

prune716.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes491.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

701.0ms

10637×

body

valid