Details

sample48.0ms

Algorithm

intervals

Results

18.0ms	306×	body	80	valid
3.0ms	12×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	1×	body	1280	valid

simplify69.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
5	93
4	86
3	73
2	45
1	19
0	9

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ (+ 3.0 d3) d2) d1)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-l`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

94.0ms

(* (+ (+ 3.0 d3) d2) d1)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (+ (+ 3.0 d3) d2) d1)

simplify538.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5002
2	701
1	135
0	50

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ 3.0 d3) d2)) (cbrt (+ (+ 3.0 d3) d2)))
0.4b	(cbrt (+ d2 (+ d3 3.0)))
0.4b	(cbrt (+ (+ 3.0 d3) d2))
0.4b	(cbrt (+ (+ 3.0 d3) d2))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

149.0ms	(* (cbrt (+ (+ 3.0 d3) d2)) (cbrt (+ (+ 3.0 d3) d2)))
13.0ms	(cbrt (+ d2 (+ d3 3.0)))
16.0ms	(cbrt (+ (+ 3.0 d3) d2))
21.0ms	(cbrt (+ (+ 3.0 d3) d2))

series576.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (+ (+ 3.0 d3) d2)) (cbrt (+ (+ 3.0 d3) d2)))
151.0ms	(cbrt (+ d2 (+ d3 3.0)))
154.0ms	(cbrt (+ (+ 3.0 d3) d2))
151.0ms	(cbrt (+ (+ 3.0 d3) d2))

simplify1.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2076
1	499
0	196

prune677.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (+ 3.0 d3) d2))
0.4b	(cbrt (- d2 (+ d3 3.0)))
0.6b	(/ (cbrt (* (- d2 (+ d3 3.0)) (+ 3.0 (+ d3 d2)))) (cbrt (- d2 (+ d3 3.0))))
19.3b	(cbrt (* (- d2 (+ d3 3.0)) (+ 3.0 (+ d3 d2))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
52×	`cbrt-prod`
38×	`add-sqr-sqrt`
36×	`times-frac`
26×	`add-cube-cbrt`
22×	`cbrt-div`
12×	`distribute-lft-out--`
9×	`associate-/r*` `distribute-lft-out`
8×	`frac-times` `flip3--` `flip--` `associate-/l/`
7×	`flip3-+` `flip-+`
6×	`add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `associate-l/` `associate-r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow1/3`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 127

Calls

4 calls:

13.0ms	(cbrt (+ (+ 3.0 d3) d2))
12.0ms	(cbrt (- d2 (+ d3 3.0)))
51.0ms	(/ (cbrt (* (- d2 (+ d3 3.0)) (+ 3.0 (+ d3 d2)))) (cbrt (- d2 (+ d3 3.0))))
53.0ms	(cbrt (* (- d2 (+ d3 3.0)) (+ 3.0 (+ d3 d2))))

series703.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (+ (+ 3.0 d3) d2))
147.0ms	(cbrt (- d2 (+ d3 3.0)))
152.0ms	(/ (cbrt (* (- d2 (+ d3 3.0)) (+ 3.0 (+ d3 d2)))) (cbrt (- d2 (+ d3 3.0))))
221.0ms	(cbrt (* (- d2 (+ d3 3.0)) (+ 3.0 (+ d3 d2))))

simplify2.0s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	3231
1	722
0	302

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (+ d2 (+ d3 3.0)))
0.1b	(sqrt (* d1 (+ d2 (+ d3 3.0))))
0.1b	(sqrt (* d1 (+ d2 (+ d3 3.0))))
0.3b	(* (sqrt (* d1 (+ d2 (+ d3 3.0)))) (sqrt (* d1 (+ d2 (+ d3 3.0)))))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`pow-sqr` `sqrt-prod`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `rem-square-sqrt` `distribute-lft-in` `pow-plus` `sqrt-unprod`

Counts

4 → 115

Calls

4 calls:

73.0ms	(* d1 (+ d2 (+ d3 3.0)))
13.0ms	(sqrt (* d1 (+ d2 (+ d3 3.0))))
13.0ms	(sqrt (* d1 (+ d2 (+ d3 3.0))))
137.0ms	(* (sqrt (* d1 (+ d2 (+ d3 3.0)))) (sqrt (* d1 (+ d2 (+ d3 3.0)))))

series478.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* d1 (+ d2 (+ d3 3.0)))
90.0ms	(sqrt (* d1 (+ d2 (+ d3 3.0))))
92.0ms	(sqrt (* d1 (+ d2 (+ d3 3.0))))
262.0ms	(* (sqrt (* d1 (+ d2 (+ d3 3.0)))) (sqrt (* d1 (+ d2 (+ d3 3.0)))))

simplify1.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1995
1	401
0	145

prune588.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

636.0ms	9543×	body	80	valid
41.0ms	224×	body	640	valid
24.0ms	181×	body	320	valid
15.0ms	79×	body	1280	valid
7.0ms	76×	body	160	valid