Details

sample42.0ms

Algorithm

intervals

Results

16.0ms

280×

body

valid

simplify185.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	166
11	166
10	164
9	158
8	151
7	139
6	122
5	101
4	71
3	49
2	25
1	17
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.1b	(* (/ (- x y) (- z y)) t)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 102

Calls

2 calls:

34.0ms	(/ (- x y) (- z y))
51.0ms	(* (/ (- x y) (- z y)) t)

series218.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(/ (- x y) (- z y))
135.0ms	(* (/ (- x y) (- z y)) t)

simplify763.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1456
1	372
0	143

prune557.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.1b	(* (- x y) (/ 1 (- z y)))
2.1b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`associate-r` `add-cube-cbrt`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-l` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

3 → 119

Calls

3 calls:

10.0ms	(/ 1 (- z y))
55.0ms	(* (- x y) (/ 1 (- z y)))
78.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series277.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ 1 (- z y))
75.0ms	(* (- x y) (/ 1 (- z y)))
137.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify6.3s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	3818
1	418
0	161

prune551.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
2.1b	(* (* (* (/ (cbrt (- x y)) (cbrt (- z y))) (/ (cbrt (- x y)) (cbrt (- z y)))) (/ (cbrt (- x y)) (cbrt (- z y)))) t)

rewrite614.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log`
31×	`add-cbrt-cube`
29×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1` `cbrt-undiv` `div-exp`
12×	`associate-*l/`
8×	`add-cube-cbrt`
6×	`cbrt-div` `pow-prod-down`
5×	`frac-times`
4×	`add-log-exp`
3×	`flip3--` `pow1/3` `associate-r` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
601.0ms	(* (* (* (/ (cbrt (- x y)) (cbrt (- z y))) (/ (cbrt (- x y)) (cbrt (- z y)))) (/ (cbrt (- x y)) (cbrt (- z y)))) t)

series758.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (- x y))
205.0ms	(cbrt (- x y))
225.0ms	(cbrt (- x y))
111.0ms	(* (* (* (/ (cbrt (- x y)) (cbrt (- z y))) (/ (cbrt (- x y)) (cbrt (- z y)))) (/ (cbrt (- x y)) (cbrt (- z y)))) t)

simplify1.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2144
1	476
0	168

prune656.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.7b	(* (/ (* (- x y) (* (cbrt t) (cbrt t))) (- z y)) (cbrt t))
7.9b	(/ (* (- x y) (* (cbrt t) (cbrt t))) (- z y))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`add-cbrt-cube`
18×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`associate-l`
10×	`cbrt-prod` `times-frac` `prod-exp` `cbrt-unprod`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-r`
5×	`associate-/r*`
4×	`associate-/r/` `add-log-exp`
3×	`flip3--` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
75.0ms	(* (/ (* (- x y) (* (cbrt t) (cbrt t))) (- z y)) (cbrt t))
44.0ms	(/ (* (- x y) (* (cbrt t) (cbrt t))) (- z y))

series1.0s

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt t)
233.0ms	(cbrt t)
176.0ms	(* (/ (* (- x y) (* (cbrt t) (cbrt t))) (- z y)) (cbrt t))
365.0ms	(/ (* (- x y) (* (cbrt t) (cbrt t))) (- z y))

simplify1.6s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2582
1	425
0	141

prune500.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes418.0ms

Accuracy

2.4% (2.4b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch82.0ms

Steps

Iters	Range		Point
4	4.500595779409948e-90	6.581528796073138e-90	6.516499639302413e-90
10	-1.0186560321066527e-25	-3.3196000109636296e-42	-1.9645605346001603e-27

simplify2.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

472.0ms

8737×

body

valid