Details

sample47.0ms

Algorithm

intervals

Results

21.0ms

353×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	3881
10	1313
9	507
8	252
7	161
6	132
5	111
4	87
3	55
2	31
1	14
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.4b	(* (/ x y) (- z t))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

18.0ms	(+ (* (/ x y) (- z t)) t)
47.0ms	(* (/ x y) (- z t))

series155.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (* (/ x y) (- z t)) t)
86.0ms	(* (/ x y) (- z t))

simplify2.7s

Counts

63 → 63

Iterations

Iter	Nodes
done	5002
3	4231
2	1044
1	328
0	122

prune433.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(* (cbrt x) (cbrt x))
0.5b	(* (cbrt y) (cbrt y))
0.8b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
39×	`add-cbrt-cube` `prod-exp` `cbrt-unprod`
38×	`add-sqr-sqrt`
35×	`cbrt-prod`
23×	`pow1`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`cbrt-undiv` `div-exp` `associate-l`
13×	`pow1/3` `associate-r`
12×	`swap-sqr`
9×	`frac-times` `associate-*r/`
8×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
7×	`pow-prod-down`
4×	`sub-neg` `flip3--` `pow-sqr` `pow-prod-up` `flip--` `add-log-exp`
3×	`associate-l/` `-commutative`
2×	`pow2` `pow-plus`
1×	`times-frac` `div-inv`

Counts

4 → 156

Calls

4 calls:

1.0ms	(cbrt y)
12.0ms	(* (cbrt x) (cbrt x))
9.0ms	(* (cbrt y) (cbrt y))
109.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series929.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt y)
282.0ms	(* (cbrt x) (cbrt x))
279.0ms	(* (cbrt y) (cbrt y))
85.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify2.8s

Counts

168 → 168

Iterations

Iter	Nodes
done	5008
2	4145
1	726
0	228

prune860.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (* (/ x y) (- z t)))
6.4b	(* (/ x y) (- z t))
6.4b	(* (/ x y) (- z t))
6.4b	(* (/ x y) (- z t))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-l`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
15×	`associate-r`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 140

Calls

4 calls:

15.0ms	(cbrt (* (/ x y) (- z t)))
40.0ms	(* (/ x y) (- z t))
25.0ms	(* (/ x y) (- z t))
45.0ms	(* (/ x y) (- z t))

series430.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (* (/ x y) (- z t)))
77.0ms	(* (/ x y) (- z t))
76.0ms	(* (/ x y) (- z t))
102.0ms	(* (/ x y) (- z t))

simplify2.3s

Counts

152 → 152

Iterations

Iter	Nodes
done	5002
3	4095
2	1091
1	344
0	143

prune904.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
10.1b	(cbrt (/ x y))
10.1b	(cbrt (/ x y))
10.1b	(cbrt (/ x y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod` `cbrt-div`
29×	`frac-times`
27×	`times-frac`
25×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
4×	`sub-neg` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 119

Calls

4 calls:

96.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
4.0ms	(cbrt (/ x y))
4.0ms	(cbrt (/ x y))
4.0ms	(cbrt (/ x y))

series385.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
85.0ms	(cbrt (/ x y))
83.0ms	(cbrt (/ x y))
116.0ms	(cbrt (/ x y))

simplify1.7s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1379
1	473
0	178

prune648.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes578.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample1.2s

Algorithm

intervals

Results

776.0ms

10644×

body

valid