Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	317×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify229.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	40	11
3	122	9
4	224	9
5	300	9
done	300	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

259.0ms

(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

simplify2.7s

Counts

28 → 28

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	55	324
1	160	309
2	636	267
3	4378	267
done	5000	267

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 32.0 (+ d2 (+ d3 5.0))))
0.0b	(sqrt (+ 32.0 (+ d2 (+ d3 5.0))))
0.2b	(* d1 (sqrt (+ 32.0 (+ d2 (+ d3 5.0)))))
0.2b	(* (* d1 (sqrt (+ 32.0 (+ d2 (+ d3 5.0))))) (sqrt (+ 32.0 (+ d2 (+ d3 5.0)))))

rewrite896.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
25×	`sqrt-prod`
24×	`distribute-lft-out`
18×	`sqrt-div` `associate-r`
17×	`add-sqr-sqrt`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

100.0ms	(sqrt (+ 32.0 (+ d2 (+ d3 5.0))))
94.0ms	(sqrt (+ 32.0 (+ d2 (+ d3 5.0))))
230.0ms	(* d1 (sqrt (+ 32.0 (+ d2 (+ d3 5.0)))))
468.0ms	(* (* d1 (sqrt (+ 32.0 (+ d2 (+ d3 5.0))))) (sqrt (+ 32.0 (+ d2 (+ d3 5.0)))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sqrt (+ 32.0 (+ d2 (+ d3 5.0))))
49.0ms	(sqrt (+ 32.0 (+ d2 (+ d3 5.0))))
88.0ms	(* d1 (sqrt (+ 32.0 (+ d2 (+ d3 5.0)))))
47.0ms	(* (* d1 (sqrt (+ 32.0 (+ d2 (+ d3 5.0))))) (sqrt (+ 32.0 (+ d2 (+ d3 5.0)))))

simplify1.2s

Counts

107 → 107

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	137	1976
1	359	1578
2	1087	1428
done	5000	1400

prune309.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 32.0 (+ d2 (+ d3 5.0)))
0.0b	(* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))
7.4b	(* (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))) d1)
17.5b	(/ (* (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))) d1) (- 32.0 (+ d2 (+ d3 5.0))))

rewrite420.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
33×	`distribute-lft-out`
22×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
12×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`associate-l` `distribute-lft-out--`
8×	`associate-r`
7×	`times-frac` `associate-/r*`
6×	`flip3-+` `associate-*l/` `flip-+`
4×	`frac-times` `flip3--` `flip--` `difference-of-squares`
3×	`diff-log` `prod-exp` `sum-log` `cbrt-unprod`
2×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*` `associate--r+`

Counts

4 → 120

Calls

4 calls:

43.0ms	(- 32.0 (+ d2 (+ d3 5.0)))
151.0ms	(* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))
31.0ms	(* (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))) d1)
190.0ms	(/ (* (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))) d1) (- 32.0 (+ d2 (+ d3 5.0))))

series333.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- 32.0 (+ d2 (+ d3 5.0)))
41.0ms	(* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))
136.0ms	(* (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))) d1)
132.0ms	(/ (* (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))) d1) (- 32.0 (+ d2 (+ d3 5.0))))

simplify2.3s

Counts

132 → 132

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	206	2687
1	584	2472
2	2638	2180
done	5002	1920

prune383.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 32.0 (+ d2 (+ d3 5.0)))
0.0b	(- 32.0 (+ d2 (+ d3 5.0)))
0.2b	(* (+ 32.0 (+ d2 (+ d3 5.0))) (* (- 32.0 (+ d2 (+ d3 5.0))) d1))
17.5b	(/ (* (+ 32.0 (+ d2 (+ d3 5.0))) (* (- 32.0 (+ d2 (+ d3 5.0))) d1)) (- 32.0 (+ d2 (+ d3 5.0))))

rewrite970.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
22×	`add-log-exp`
18×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
16×	`associate-*l/`
15×	`add-sqr-sqrt`
12×	`distribute-lft-out--`
9×	`pow1` `flip3--` `flip--`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt` `times-frac` `associate-/r*`
6×	`flip3-+` `diff-log` `associate-l` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`
4×	`associate-*r/` `difference-of-squares`
3×	`cbrt-undiv` `div-exp` `pow-prod-down`
2×	`sub-neg` `associate-/r/` `associate--r+`
1×	`frac-2neg` `associate-r` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 108

Calls

4 calls:

70.0ms	(- 32.0 (+ d2 (+ d3 5.0)))
75.0ms	(- 32.0 (+ d2 (+ d3 5.0)))
476.0ms	(* (+ 32.0 (+ d2 (+ d3 5.0))) (* (- 32.0 (+ d2 (+ d3 5.0))) d1))
341.0ms	(/ (* (+ 32.0 (+ d2 (+ d3 5.0))) (* (- 32.0 (+ d2 (+ d3 5.0))) d1)) (- 32.0 (+ d2 (+ d3 5.0))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- 32.0 (+ d2 (+ d3 5.0)))
18.0ms	(- 32.0 (+ d2 (+ d3 5.0)))
95.0ms	(* (+ 32.0 (+ d2 (+ d3 5.0))) (* (- 32.0 (+ d2 (+ d3 5.0))) d1))
49.0ms	(/ (* (+ 32.0 (+ d2 (+ d3 5.0))) (* (- 32.0 (+ d2 (+ d3 5.0))) d1)) (- 32.0 (+ d2 (+ d3 5.0))))

simplify2.0s

Counts

120 → 120

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	156	2711
1	459	2592
2	2330	1932
done	5001	1908

prune310.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
done	13	9

end0.0ms

sample843.0ms

Algorithm

intervals

Results

396.0ms	10009×	body	80	valid
3.0ms	22×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	8×	body	1280	valid
0.0ms	5×	body	160	valid