Details

sample49.0ms

Algorithm

intervals

Results

31.0ms	289×	body	80	valid
2.0ms	5×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify62.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	69
5	69
4	67
3	50
2	33
1	18
0	9

prune17.0ms

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 (+ 30 d2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

18.0ms

(* d1 (+ 30 d2))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* d1 (+ 30 d2))

simplify3.1s

Counts

27 → 27

Iterations

Iter	Nodes
4	5185
3	1359
2	381
1	127
0	47

prune210.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 30 d2))
0.0b	(sqrt (+ 30 d2))
0.1b	(* d1 (sqrt (+ 30 d2)))
0.2b	(* (* d1 (sqrt (+ 30 d2))) (sqrt (+ 30 d2)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

9.0ms	(sqrt (+ 30 d2))
9.0ms	(sqrt (+ 30 d2))
18.0ms	(* d1 (sqrt (+ 30 d2)))
52.0ms	(* (* d1 (sqrt (+ 30 d2))) (sqrt (+ 30 d2)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (+ 30 d2))
40.0ms	(sqrt (+ 30 d2))
81.0ms	(* d1 (sqrt (+ 30 d2)))
43.0ms	(* (* d1 (sqrt (+ 30 d2))) (sqrt (+ 30 d2)))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
3	3491
2	1024
1	334
0	134

prune726.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (* d1 (sqrt (+ 30 d2))))
0.4b	(cbrt (* d1 (sqrt (+ 30 d2))))
0.4b	(cbrt (* d1 (sqrt (+ 30 d2))))
0.4b	(* (cbrt (* d1 (sqrt (+ 30 d2)))) (cbrt (* d1 (sqrt (+ 30 d2)))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div` `sqrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

6.0ms	(cbrt (* d1 (sqrt (+ 30 d2))))
6.0ms	(cbrt (* d1 (sqrt (+ 30 d2))))
7.0ms	(cbrt (* d1 (sqrt (+ 30 d2))))
36.0ms	(* (cbrt (* d1 (sqrt (+ 30 d2)))) (cbrt (* d1 (sqrt (+ 30 d2)))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (* d1 (sqrt (+ 30 d2))))
160.0ms	(cbrt (* d1 (sqrt (+ 30 d2))))
148.0ms	(cbrt (* d1 (sqrt (+ 30 d2))))
128.0ms	(* (cbrt (* d1 (sqrt (+ 30 d2)))) (cbrt (* d1 (sqrt (+ 30 d2)))))

simplify1.5s

Counts

88 → 88

Iterations

Iter	Nodes
3	3780
2	1220
1	429
0	177

prune907.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

7.1b	(* d1 (- 900 (* d2 d2)))
8.9b	(/ (* d1 (- 900 (* d2 d2))) (- 30 d2))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

13.0ms	(* d1 (- 900 (* d2 d2)))
30.0ms	(/ (* d1 (- 900 (* d2 d2))) (- 30 d2))

series158.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* d1 (- 900 (* d2 d2)))
91.0ms	(/ (* d1 (- 900 (* d2 d2))) (- 30 d2))

simplify1.8s

Counts

62 → 62

Iterations

Iter	Nodes
3	4992
2	1138
1	297
0	113

prune435.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	7
1	7
0	5

end0.0ms

sample985.0ms

Algorithm

intervals

Results

731.0ms	9003×	body	80	valid
22.0ms	66×	body	1280	valid
13.0ms	52×	body	640	valid
4.0ms	26×	body	320	valid
2.0ms	19×	body	160	valid