Details

sample29.0ms

Algorithm

intervals

Results

18.0ms	289×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	87
5	87
4	80
3	71
2	44
1	19
0	9

prune14.0ms

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	(* (+ d2 30) d1)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

23.0ms

(* (+ d2 30) d1)

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* (+ d2 30) d1)

simplify2.4s

Counts

27 → 27

Iterations

Iter	Nodes
4	4218
3	1068
2	357
1	118
0	47

prune179.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

10.0ms	(sqrt (+ d2 30))
12.0ms	(sqrt (+ d2 30))
31.0ms	(* (sqrt (+ d2 30)) d1)
54.0ms	(* (sqrt (+ d2 30)) (* (sqrt (+ d2 30)) d1))

series216.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (+ d2 30))
41.0ms	(sqrt (+ d2 30))
103.0ms	(* (sqrt (+ d2 30)) d1)
38.0ms	(* (sqrt (+ d2 30)) (* (sqrt (+ d2 30)) d1))

simplify985.0ms

Counts

113 → 113

Iterations

Iter	Nodes
3	2561
2	911
1	342
0	138

prune920.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(cbrt (* (sqrt (+ d2 30)) d1))
6.0ms	(cbrt (* (sqrt (+ d2 30)) d1))
6.0ms	(cbrt (* (sqrt (+ d2 30)) d1))
20.0ms	(* (cbrt (* (sqrt (+ d2 30)) d1)) (cbrt (* (sqrt (+ d2 30)) d1)))

series674.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (* (sqrt (+ d2 30)) d1))
172.0ms	(cbrt (* (sqrt (+ d2 30)) d1))
197.0ms	(cbrt (* (sqrt (+ d2 30)) d1))
132.0ms	(* (cbrt (* (sqrt (+ d2 30)) d1)) (cbrt (* (sqrt (+ d2 30)) d1)))

simplify1.7s

Counts

96 → 96

Iterations

Iter	Nodes
3	4026
2	1252
1	444
0	181

prune962.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 30 (- 30 d2) (* d2 d2))
0.0b	(fma d2 (* d2 d2) 27000)
1.9b	(* d1 (fma d2 (* d2 d2) 27000))
18.3b	(/ (* d1 (fma d2 (* d2 d2) 27000)) (fma 30 (- 30 d2) (* d2 d2)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1`
4×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `times-frac` `associate-r` `associate-l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

0.0ms	(fma 30 (- 30 d2) (* d2 d2))
0.0ms	(fma d2 (* d2 d2) 27000)
10.0ms	(* d1 (fma d2 (* d2 d2) 27000))
17.0ms	(/ (* d1 (fma d2 (* d2 d2) 27000)) (fma 30 (- 30 d2) (* d2 d2)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma 30 (- 30 d2) (* d2 d2))
87.0ms	(fma d2 (* d2 d2) 27000)
130.0ms	(* d1 (fma d2 (* d2 d2) 27000))
182.0ms	(/ (* d1 (fma d2 (* d2 d2) 27000)) (fma 30 (- 30 d2) (* d2 d2)))

simplify1.0s

Counts

81 → 81

Iterations

Iter	Nodes
3	3221
2	654
1	204
0	102

prune612.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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

sample1.1s

Algorithm

intervals

Results

938.0ms	9003×	body	80	valid
34.0ms	52×	body	640	valid
18.0ms	66×	body	1280	valid
5.0ms	26×	body	320	valid
2.0ms	19×	body	160	valid